HELP please, last question!​

HELP Please, Last Question!

Answers

Answer 1

[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]

Fig. D is correct

[tex]\textsf{ \underline{\underline{Explanation } }:}[/tex]

" when rays parallel to optical axis/ principal axis fall on a concave mirror it passes through focus of mirror after reflection "

[tex] \qquad \large \sf {Conclusion} : [/tex]

Fig. D is correct


Related Questions

how to solve this pleaseee

Answers

Answer:

if you divide 10 by 8 it should be 10/8 so a

Hope This Helps!!!

Answer: A

Step-by-step explanation: Step 3 is incorrect as it should be 10/8 (or 5/4 simplified.) When we have 8x = 10, we are looking at what number "x" multiplied by 8 gives 10. Meaning we need to have 8(?) = 10. So, to find out what x is, we just divide by 8 from both sides. Since 8x/8 cancels out and becomes just x, we get x = 10/8 since we are dividing 10 by 8. We get 5/4 simplified or 10/8 unsimplified.

Please mark my answer as brainliest if it was helpful!

Find x.

special 17

A. 22
B. 113√2
C. 116√2
D. 33

Answers

The value of x in the triangle is (a) 22

How to solve for x?

The complete question is in the attached image.

From the attached image of the triangle, we have:

[tex]\sin(45) = \frac{x}{22\sqrt 2}[/tex]

Evaluate sin(45)

[tex]\frac{1}{\sqrt 2} = \frac{x}{22\sqrt 2}[/tex]

Solve for x

[tex]x = \frac{22\sqrt 2}{\sqrt 2}[/tex]

Divide

x = 22

Hence, the value of x is (a) 22

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Draw a graph of the line that contains the given point and
(-3,0); m =
1
8

Answers

Answer:

Step-by-step explanation:

Dilate the figure by the scale factor. Then enter
the new coordinates.
(-3,-1)
A
(-1,-4) C
B(2,-2)
K = 5
A' ([?], [ ])
B' ([ ], [])
C' ([ ], [ ]) (pls help I will mark BRAINLIEST)

Answers

The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, rotation and dilation.

The triangle ABC was dilated with a scale factor of 5 to form a figure with new coordinates at A'(-15, -5), B'(10, -10) and C'(-5, -20).

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Which answer describes the type of sequence?
3, 4, 7, 11,
• geometric

arithmetic
neither arithmetic nor geometric

Answers

Hello and Good Morning/Afternoon!

To determine whether a sequence is arithmetic or geometric:

   ⇒ must consider their definitions

Arithmetic Sequence: sequences that go up by adding or subtracting a numberGeometric Sequences: sequences that go up by multiplying or dividing a number

Let's test out this sequence to see what kind of sequence it is:

Testing for arithemetic sequence

             3 ⇒ 4, 3 + 1  

             4 ⇒ 7, 4 + 3

             7 ⇒ 11, 7 + 4

              NOT AN ARITHMETIC SEQUENCE

Testing for geometric sequence

              3 ⇒ 4,  3 * (4/3)

              4 ⇒ 7,  4 * (7/4)

              7 ⇒ 11,  7 * (11/7)

               NOT AN GEOMETRIC SEQUENCE

Answer: Neither arithetic nor geometric

Hopefully that helps!

           

the intersection of a line and a triangle can be

Answers

Answer:

nothing

a point

a segment

Step-by-step explanation:

nothing

a point

a segment

Solve Triangle DEF. - Math

Answers

Answer:

[tex]p = 52.942259755149776[/tex]

Step-by-step explanation:

This is basic trigonometry.

[tex] \cos(39) = \frac{e}{22} [/tex]

[tex]e = \cos(39) \times 22[/tex]

[tex] \sin(39) = \frac{d}{22} [/tex]

[tex]d = \sin(39) \times 22[/tex]

And finally perimeter (p):

[tex]p = 22 + e+ d[/tex]

Find the value of x.

A) 71

B) 72

C) 73

D) 75

Answers

Answer:

The answer is c) 73

Step-by-step explanation:

The angle 146 and (-39 + x) lie on the same line, so that means their sum is 180 degrees because a straight line has 180 degrees.

180 = 149 - 39 + x

180 = 107 + x

180 - 107 = x

73 = x

Answer:

73

Step-by-step explanation:

The two angles form a straight line  and a straight line is 180 degrees

-39+x + 146 = 180

Combine like terms

107 +x = 180

Subtract 107 from each side

107+x-107 = 180-107

x =73

A 3x2 flag is divided into six squares. Each square is to be coloured green or blue, so that every square shares at least one edge with another square of the same colour. In how many ways can this be done?

Answers

The computation shows that the number of ways that this can be done is 64.

How to illustrate the information?

From the information given, it's was stated that a 3x2 flag is divided into six squares and that each square is to be coloured green or blue.

In this case, the number of ways that this can be illustrated will be:

= 2^n

= 2^6

= 64

Therefore, there are 64 ways.

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check all that apply.
if secØ= 13/12, then:

Answers

Based on trigonometric formulas, we can find that the options that applies to the given trigonometric relationship are tan θ = 5/12 and cos θ = 12/13.

How to find the exact form of trigonometric functions

There six trigonometric functions, which are related by a group of expressions, which will be used in this question:

[tex]\cos \theta = \frac{1}{\sec \theta} = \frac{12}{13}[/tex]

[tex]\sin \theta = \sqrt{1 - \cos^{2}\theta}[/tex]

[tex]\sin \theta = \sqrt{1 -\left(\frac{12}{13} \right)^{2}}[/tex]

[tex]\sin \theta = \frac{5}{13}[/tex]

[tex]\csc \theta = \frac{1}{\sin \theta} = \frac{13}{5}[/tex]

[tex]\tan \theta = \sqrt{\sec^{2}\theta - 1}[/tex]

[tex]\tan \theta = \sqrt{\left(\frac{13}{12} \right)^{2}-1}[/tex]

[tex]\tan \theta = \frac{5}{12}[/tex]

Based on trigonometric formulas, we can find that the options that applies to the given trigonometric relationship are tan θ = 5/12 and cos θ = 12/13.

Remark

The statement is incomplete. Complete form is shown below:

Check all that apply:

If sec θ = 13/12, then:

a) sin θ = 12/13

b) tan θ = 5/12

c) cos θ = 12/13

d) csc θ = 12/13

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helpp me plss! geometry, how to find x. i kinda need step by step for better understanding, if possible, too pleaseee

Answers

Answer:

Step-by-step explanation:

Write the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7). Put your answer in fully simplified form, unless it is a vertical or horizontal line.

Answers

2x-15y = 117 is the simplified form of the equation.

Equation : In a mathematical sentence, if two expressions are present in left and right side of an equal sign, then the mathematical sentence is called an equation.

If, a, b, c be integers and x is x-intercept & y is y-intercept, then ax+by=c is called equation of line.

Given that, the equation of the line that passes through the points (-9,-9)(−9,−9) and (6,-7)(6,−7).

Now, (-9,-9) & (6, -7) have a line through them with slope = (-9+7)/(-9-6) = 2/15

Therefore, (y+7) = 2/15×(x-6)

⇒ y+7 = 2x/15 - 4/5

⇒ y = 2x/15 - 4/5 - 7

⇒ y = 2x/15 -39/5

This is the equation in slope intercept form.

Multiplying the equation with 15, we get,

⇒ 15y = 2x-117

⇒ 2x-15y = 117 , which is the simplified form of the equation.

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help me please ty ty

Answers

Answer:

A

Step-by-step explanation:

(f - g)(x)

= f(x) - g(x)

= 3x² + 4x - 6 - (6x³ - 5x² - 2) ← distribute parenthesis by - 1

= 3x² + 4x - 6 - 6x³ + 5x² + 2 ← collect like terms

= - 6x³ + 8x² + 4x - 4

URGENT: statistics: A researcher wishes to estimate the percentage of adults who support abolishing the penny what size sample should be obtained if he wishes the estimate to be within three percentage points with a 95% confidence if he:
A: uses a previous estimate of 26%?
B: he does not use any prior estimates?

Answers

Using the margin of error for the z-distribution, the sample sizes are given as follows:

a) 822.

b) 1068.

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

The margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

We have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Item a:

The estimate is of [tex]\pi = 0.26[/tex], hence we solve for n when M = 0.03.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2[/tex]

n = 821.2

A sample of 822 is needed.

Item b:

No prior estimate, hence [tex]\pi = 0.5[/tex].

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

n = 1067.11

A sample of 1068 is needed.

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A normal score is the expected​ z-score of a data​ value, assuming the distribution of the random variable is normal. Is this statement true or​ false?.

Answers

The given statement about normal score that it is expected z score of a data value is true.

Given A statement that a normal z score is the expected z score of a data value, assuming the distribution of the random variable is normal.

We have to tell whether the given statement is true or false.

In z test the z score or standard score is the number of standard deviations by which the value of a raw score is above or below the mean value of what is observed or measured.

A normal distribution is arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

A random variable is a variable which is identified without following any criteria.

A Z test is any statistical test for which the distribution of the test statistic under the null hypothesis ca be approximated by a normal distribution.

Hence the given statement about normal score is absolutely true.

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Please help! If Paul's average speed is 5 km per hour, how long would it take Paul to walk 6.25 km?

a.)
An hour and 30 minutes
b.)
An hour and 15 minutes
c.)
An hour and 10 minutes
d.)
An hour and 25 minutes

Answers

Correct answer for this would be d

A scuba diver is 30 ft below sea level. Which of the following best describes this situation?
1. |30|
2. |-30|
3. -30
4. ±30

Answers

Answer:

-30

Step-by-step explanation:

The scuba driver is below the sea and ground level which is 0 ft, and he dives down 30 ft so it should be negative.

Hope it helps!

A ladder is 7 feet 6 inches tall. How tall is it in inches?

Answers

Answer:

90 inches tall

Step-by-step explanation:

7x12=84

84+6=90

90 Inches

12 inches in 1 foot

12x7=84
84+6 inches equals 90 inches total

Expand and combine like terms. (5a^3 - 2)(5a^3+2)

Answers

Answer:

[tex]25a^6-4[/tex]

Step-by-step explanation:

So if you look at the equation, you'll notice it's being multiplied by it's conjugate which can be expressed as: x+a and x-a. See how only the sign changes? Well if remember the differences of squares, it looks like that, because it is. Essentially the difference of squares says that: [tex]a^2-b^2=(a-b)(a+b)[/tex]. So expanding this out will result in [tex](5a^3)^2-(2)^2[/tex] which simplifies to: [tex]25a^6-4[/tex]. If you're confused on how I got 25a^6. Try to think of a^3 as three a's rather than simply an exponent. and since it has a coefficient of 5. 5a^3 is the same as (5 * a * a * a). Now if you square this you have (5 * a * a * a) * (5 * a * a * a). So if you group like terms you'll end up with 6 a's being multiplied by each other (which can be expressed as a^6) and 5 * 5 which is 25.

The multiplication can be transformed into the difference of squares using the rule:(a−b)(a+b)=a²-b² . Gets the square of 2.

(5a³)²-4

Expand (5a³)².

5² (a³)² -4

To raise a power to another power, multiply the exponents. Multiply 3 and 2 to get 6.

5²a⁶-4

25a⁶-4 ====> Answer

{ Pisces04 }

The diagram below shows the partial construction of which shape?

Answers

Answer:

im gonna say circle or even a hour glass

Step-by-step explanation:

-6 + 6 how do you solve it

Answers

Answer:

0.

Step-by-step explanation:

-6+6=0 because any negative number plus the same positive number cancels each other out.

It equals 0 because a positive 6 and a negative 6 cancels out

Friar laurence: these violent delights have violent ends, and in their triumph die, like fire and powder, which, as they kiss consume: the sweetest honey is loathsome in his own deliciousness and in the taste confounds the appetite: therefore love moderately; long love doth so; too swift arrives as tardy as too slow. what do the oxymoron and paradox in this excerpt illustrate about love? only love has the ability to overcome obstacles. nothing good ever comes from truly loving another. loving with restraint is the key to long-lasting love. true love causes one to lose the ability to reason

Answers

Seriousness is what is being portrayed by the oxymoron and paradox in this excerpt.
Simply put, a serious relationship is one in which you are fully committed to your partner. You are completely open and honest with each other. You trust each other deeply. And you are on the same page together not only from your values ​​and ethics perspective, but also from your future perspective.

Monks do not claim that "moderate" love is more wise than fleeting love, but they guide Romeo to understand the reason for his wisdom and explore their relationship.

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Please help, math question below...

Answers

The value of  x is 3.711 yd

What is Heron's Formula?

area = √(s * (s - a) * (s - b) * (s - c))

where

s is the semi perimeter - half of triangle perimeter:

s = (a + b + c) / 2

Using Heron's Formula

area = √(s * (s - a) * (s - b) * (s - c))

area = √(14* (15- 6) * (15 - 14) * (15 - 10))

area = √(14* 9 * 1 * 5))

area = √ 630

area = 25.981 yd²

Now,

area of triangle= 1/2 * b * h

25.981 = 1/2 * 14 *h

51.962 = 14h

h= 3.711 yd

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These two figures shown are congruent. Which statement is true?

Answers

Answer:

The answer is C

Step-by-step explanation:

First if you look at the problem you will notice the triangles aren't the same size so if it's neither rotation nor translation then the shapes do not

how to reduce this 25/35 please please help explain !!!!!!​

Answers

Answer:

5/7

Step-by-step explanation:

Note that the highest common factor to the numbers are 5. Therefore, to simplify will be:

= 25/35

= 5/7

slope of [3,5] and [0,11]

Answers

\[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{What is the formula for finding slope?}[/tex]

[tex]\mathbf{\dfrac{y_2 - y_1}{x_2 - x_1} = slope}[/tex]

[tex]\huge\textbf{Often people understand it better by:}[/tex]

[tex]\mathbf{\dfrac{rise}{run} = slope}[/tex]

[tex]\huge\textbf{Answering the given question:}[/tex]

[tex]\mathbf{y_2 \rightarrow 11}\\\\\\\mathbf{y_1 \rightarrow 5}\\\\\\\mathbf{x_2 \rightarrow 0}\\\\\\\mathbf{x_1 \rightarrow 3}[/tex]

[tex]\huge\textbf{Now, that we have that information out}\\\huge\textbf{the way, we can answer the question.}[/tex]

[tex]\huge\textbf{Your equation should look like this:}[/tex]

[tex]\mathbf{\dfrac{11 - 5}{0 - 3} = slope}[/tex]

[tex]\huge\textbf{Solving for the answer:}[/tex]

[tex]\mathbf{\dfrac{11 - 5}{0 - 3} = slope}[/tex]

[tex]\mathbf{\rightarrow \dfrac{6}{-3} = slope}[/tex]

[tex]\mathbf{\rightarrow 6 \div -3 = slope}[/tex]

[tex]\mathbf{\rightarrow -2}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\textsf{S}\frak{lope \rightarrow -2}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

what is the probability that a positive integer less than 100 picked at random has all distinct digits

Answers

the probability that a positive integer less than 100 picked at random has all distinct digits is 90.

He has 99 positive integers less than 100.

The integers that do not have all distinct digits have the same digit twice.

11, 22, 33, 44, 55, 66, 77, 88, 99

There are 9 integers that do not have distinct digits, therefore there are 99-9 integers that do.

Probability is without a doubt how probable something is to show up. whenever we are uncertain about the final results of an occasion, we can talk about the possibilities of sure outcomes and how probable they are. The analysis of events governed by opportunity is referred to as records.

A chain of moves in which the results are usually unsure. The tossing of a coin, selecting a card from a deck of playing cards, throwing a cube. occasion. it is a single final results of an experiment. Getting a Heads whilst tossing a coin is an event.

Simple probability is the calculation of an outcome or the chance of an event ever taking place. coverage companies use possibility statistics to determine the possibilities of having to pay out a declare. A simple chance is calculated by way of dividing a particular outcome through all of the feasible outcomes.

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The angles of elevation of the top of a tower from two points at a distance of 4 m and 9 m from the base of the tower and in the same straight line with it are complementary Prove that the height of the tower is 6 m.

Kindly help!​

Answers

Answer:

Proof explained below

Step-by-step explanation:

Tan trigonometric ratio

[tex]\sf \tan(\theta)=\dfrac{O}{A}[/tex]

where:

[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angle

Draw a diagram to help visualize the scenario (see attached).

If the angles are complementary, their sum is 90°.

Therefore, let one of the angles be [tex]x[/tex] and the other angle be [tex]90^{\circ}-x[/tex].

Use the tan trig ratio to create two equations with the missing side length.

Right triangle ACD

Given:

[tex]\theta = x[/tex]O = CD (tower)A = 9 m

Substituting the given values into the tan trig ratio:

[tex]\implies \tan (x)= \dfrac{\textsf{CD}}{9}[/tex]

Right triangle BCD

Given:

[tex]\theta = 90^{\circ} - x[/tex]O = CD (tower)A = 4 m

Substituting the given values into the tan trig ratio:

[tex]\implies \tan (90^{\circ} - x)= \dfrac{\textsf{CD}}{4}[/tex]

[tex]\textsf{As }\:\tan(90^{\circ} - x)= \cot (x):[/tex]

[tex]\implies \cot(x)= \dfrac{\textsf{CD}}{4}[/tex]

[tex]\implies \dfrac{1}{\tan(x)}= \dfrac{\textsf{CD}}{4}[/tex]

[tex]\implies \tan(x)= \dfrac{4}{\textsf{CD}}[/tex]

Therefore, the two equations are:

  [tex]\textsf{Equation 1}: \quad \tan (x)= \dfrac{\textsf{CD}}{9}[/tex]

  [tex]\textsf{Equation 2}: \quad \tan(x)= \dfrac{4}{\textsf{CD}}[/tex]

Substitute one equation into the other and solve for CD:

[tex]\implies \sf \dfrac{CD}{9}=\dfrac{4}{CD}[/tex]

[tex]\implies \sf CD \cdot CD= 4 \cdot 9[/tex]

[tex]\implies \sf CD^2=36[/tex]

[tex]\implies \sf CD=\sqrt{36}[/tex]

[tex]\implies \sf CD= \pm 6[/tex]

As distance cannot be negative, CD = 6 m only, thus proving that the height of the tower is 6 m.

The cylinder below has a volume of 785 Feet cubed, and the cone has a volume of 314 Feet cubed.

A cylinder has a volume of 78.5 feet squared and a cone has a volume of 78.5 feet squared.

Which explains which figure has the greater height?
The cylinder has a greater height because the bases are the same, but the cylinder has a greater volume.
The cylinder has a greater height because the volume of the cylinder is greater than twice the volume of the cone.
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.
The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 4 times the volume of the cone.

Answers

The cone has a greater height because the bases are the same, but the volume of the cylinder is less than 3 times the volume of the cone.

What is the relationship between the cone and the cylinder?

The volume of a cylinder is three times that of a cone.

Volume of a cylinder = πr²h

Volume of a cone = 1/3πr²h

π = 22/7r = radiush = height

If the height of the cylinder would be greater than that of the cone, the volume of the cylinder should be at least 3 times that of the cone.

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Which part of the proof does the fourth statement and reason represent?

Given: AB ≅ BC
BC ≅ EF

Prove: EG = AB + FG

A line contains point A, B, C.

A 2-column table has 6 rows. Column 1 is labeled Statements with entries line segment A B is-congruent-to line segment B C, line segment B C is congruent to line segment E F, line segment A B is-congruent-to line segment E F, A B = E F, E G = E F + F G, E G = A B + F G. Column 2 is labeled reasons with entries given, given, transitive property, definition of congruent segments, segment addition, and substitution.

It is part of the given information.
It is part of the argument.
It is the conclusion.
It is an assumption.
Mark this and return

Answers

The proof does the fourth statement and reason represent It is an argument.

AB≅ BC and BC≅EF

What is the transitive property?

 a = b  and b = c then, a =c

ABC is the side of the triangle

⇒AB≅EF

AB = EF                               [def of  segment]

By Segment Addition Postulate states that given  two points A and C, and a third point B lies on the line segment AC if and only if the distances between the  points satisfy the equation

AB + BC = AC.

Since, the line segment EG, F lies on the line segment;

then, by segment addition postulates we have;

EG = EF + FG

By substitution AB=EF

⇒ EG = AB + FG                    hence proved!

In the fourth statement, the reason is:  It is an argument.

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If the force between the puffed rice pieces is 4 x 10^-23 N when the pieces are 0.03 m apart, what is the charge on each of the pieces? A scientist is working with a new kind of quantum dot tomake a dye. He is applying Newton's laws to theparticle, but it seems to be breaking these laws ofphysics.Which action will most likely help the scientist studythe particle's motion? Solve The Following ( Solving equations) A car travels 10.0 meters north in 9.0 seconds. The car then turns around and travels 5.0 meters south in 8.0 seconds. What is the magnitude of the average velocity of the car during this time interval Geometry question I need help with true of false It is probable healthier if you do a regular exercise every day.re-write in to the appropriate conditional sentences Water molecules can establish weak ____________ with one another because they are ____________ (have a slightly positive end and a slightly negative end). Further, water is able to adhere to ____________ tracheids and vessels. Senate majority leader Harry Reid invoked the ______, which eliminated the filibuster on non-Supreme Court nominees as a response to the backlog of cases and increased gridlock. If an offender on probation fails to notify his agent of an address change, this constitutes a(n) ______________________. Which form of birth control also helps prevent the spread of STIs How did the US Constitution differ from the Articles of Confederation?It removed all authority from state governments.It provided a frame of government for the new nation.It granted a number of powers to the federal government.It gave states powers that conflicted with national interests. Given thaty=1/27x^3express each of the following in the form kx^n where k and n are constants.(a) y^1/3(b) 3y^-1(c) (27y) Which phrase best describes the translation from the graph y = 6x to the graph of y = 6(x + 1)? Guided PracticeCans of SoupNumber of Servings1428312416Write a function rule for the table.A.s = 4cB.c = 4sC.s = c + 4D.c = 4 + s PLEASE HELP!!!!!The lengths of the sides of triangle ABC are consecutive whole numbers. The median from angle A is perpendicular to the angle bisector of B. Find the lengths of the sides of the triangle. A(n) _____ includes the original product plus the extra things needed to increase the value from consumption. a. exemplar product b. unsought product c. augmented product d. secondary product e. complete product When Ben left the corporate rat race to start his own pottery business, he used some of his retirement savings to finance the business. This practice is known as: Actors must learn to have _______ eye contact with other actors onscreen, despite it not being natural to do so in everyday life. Ethel is in town for the day making several purchases on her credit card. She spends $154.18 on groceries and $122.79 on tops at a sale at the local dress shop. Then she goes by to pay the utility bill, which is $219.54. How much did she charge to the nearest dollar? Protecting yourself from exposure to toxic substances in the workplace is an example of promoting ______ wellness.