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4. Which combination of measurements could form a triangle?
A) 22m, 28m, 51m
B) 16m, 24m, 38m
C) 6m, 9m, 16m
D) 11m, 21m, 33m

Answers

Answer 1

Answer:

Dear Laura Ramirez

Answer to your query is provided below

Option B is correct

Step-by-step explanation:

In a right triangle, the sum of the squares of the lengths of the legs is equal to the square of the length of the hypotenuse. 

Also,

By the triangle inequality theorem, the sum of the lengths of any two sides should be greater than the length of the third side.

Here, if you see( 16+24)>38

So, the set of numbers can be measures of a

triangle.


Related Questions

How many papayas could Star Market buy at Farm B for the same amount of money it spent at Farm A? Enter the answer in the box.

How many papayas could Star Market buy at Farm B for the same amount of money it spent at Farm A? Enter

Answers

Do the math it really isn’t hard brotha

help me guys in math please​

help me guys in math please

Answers

Answer: D.42⁰

Ok done. Thank to me :>

help me guys in math please

20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.
0=7pi/6

Answers

Answer:

(-\(\frac{\sqrt{3}}{2}\),-\(\frac{1}{2}\))

Step-by-step explanation:

20 POINTS!!!!! Find the corresponding point on the unit circle for the given radian measure.0=7pi/6

The corresponding point on the unit circle is ( -√3/2 , -1/2).

What is a unit circle?

A unit circle is just a circle that has a radius of 1 unit. A unit circle can be used to define right triangle relationships known as sine, cosine and tangent. These relationships describe how angles and sides of a right triangle relate to one another.

For the given situation,

The radian measure is θ = 7pi/6

In unit circle, the radian θ = \(\frac{7\pi }{6}\) lies in the third quadrant and it's equal degree measure is \(210\)°.

The corresponding point for this radian measure is

( \(\frac{-\sqrt{3} }{2} ,\frac{-1}{2}\) )

Hence we can conclude that the corresponding point on the unit circle is ( -√3/2 , -1/2).

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can you solve this question?

can you solve this question?

Answers

By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

How to calculate the value

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

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HELPP!!


Ryan collects rainwater in a barrel for his garden. The barrel is filled with 15 gallons of water. Ryan used 6.8 gallons to water his garden in June and 5 and one-eighth gallons in July. How much water is left in the barrel?


1.) 3.075 gallons

2.) 5.125 gallons

3.) 5.178 gallons

4.) 16.675 gallons

Answers

Subtracting the initial amount of water from the amount used, the remaining amount of water is given by:

1.) 3.075 gallons.

How to find the remaining amount of water in the barrel?


To find the remaining amount of water in the barrel, we have to subtract the initial amount by the amount used.

We have that:

The initial amount was of 15 gallons.The amount used was of: 6.8 + 5 + 1/8(relative to the one-eight) = 11.925 gallons.

Hence the remaining amount is:

15 - 11.925 = 3.075 gallons.

Which means that option 1 is correct.

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Answer: 3.075 gallons

Step-by-step explanation:

I need the answers for the table below.

I need the answers for the table below.

Answers

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

tan(πx)/7x

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

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Which of the following numbers is irrational?

Which of the following numbers is irrational?

Answers

Answer:

D

Step-by-step explanation: always remember that sign as irrational

Help please picture attached

Help please picture attached

Answers

Answer:

i think the answer is 60

Step-by-step explanation:i did the math

Please help me 10 points

 Please help me 10 points

Answers

Tbh, 10 points isn’t much.

PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutes


Which algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K'?

PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutesWhich algebraic rule describes
PLEASE HELP ASAP!!! I WILL GIVE YOU BRAINLIST PLEASE Due in like 10 minutesWhich algebraic rule describes

Answers

The algebraic rule describes the translation of quadrilateral HIJK to quadrilateral H'I'J'K' is (x, y) => (x+1, y-8)

How to determine the algebraic rule that describes the translation of quadrilateral?

Translation is defined as the movement on a straight line

Given: quadrilateral HIJK to that translated H'I'J'K'

To determine the algebraic rule, we need to get the coordinates of  HIJK and H'I'J'K' and then subtract them to get the translation:

                                         

H => (x, y) = (4, 6)  |  H' => (x, y) = (5, -2)

I =>  (x, y) = (6, 4)   |  I' =>  (x, y) = (7, -4)

J => (x, y) = (4, 2)   |  J' => (x, y) = (5, -6)

K => (x, y) = (4, 2)  |   K' => (x, y) = (3, -6)

Using points H and H' (you can use any point):

The difference in x is 5-4 = +1 => x+1

The difference in y is -2-6 = -8 => y-8

Therefore, the algebraic rule describes the translation is (x, y) => (x+1, y-8). Option C is the answer

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Answer:

(x, y) => (x+1, y-8)

Step-by-step explanation:

2+2=
a. 3
b. 5
c. 4
d. 7

Answers

Answer:

C

Step-by-step explanation:

 2

+2

-----

 4

HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.

HELP PLEASE BE QUICK WILL GIVE BRAINLIEST.

Answers

Answer:

7

Step-by-step explanation:

the line crosses the 7 on the y axis

i hope this is correct

Chicken costs c dollars per pound. Write an expression for the price of 3/4 pound of chicken.

Answers

Answer:   \(\frac{3}{4}\)c

Step-by-step explanation:

       If one pound of chicken costs c dollars, and we are writing an expression for 3/4 a pound of chicken, our expression will be the price (c) multiplied by how much chicken there is (3/4):

               3/4c

EXPRESSION

- In mathematics, an expression is a combination of numbers, variables (represented by letters), symbols, and operators, arranged in a way that represents some meaningful mathematical relationship or calculation.

- Expressions can be simple, like 3x or 4 + 5, or complex, like (3x + 4y) / (2x - 5y). Expressions are not equations or inequalities, as they do not contain an equal sign, but they can be used to build equations or inequalities.

Solving the Question:

The price of 1 pound of chicken is c dollars. To find the price of 3/4 pound of chicken, we can multiply the price of 1 pound by 3/4:

\(\begin{aligned}\sf Price\: of\: \dfrac{3}{4}\: pound\: of\: chicken& =\sf \dfrac{3}{4} \times c \\&=\boxed{\bold{\:\dfrac{3}{4}c\:}}\end{aligned}\)

Therefore, the expression for the price of 3/4 pound of chicken is 3/4c.

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I need help ASAP please

I need help ASAP please

Answers

A circle is 360 degrees so 360 = b + 96 + 209

360 = b + 305

b = 55 degrees.

The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.

Answers

Answer:

i dont know the answer but good luck

Step-by-step explanation:

The answer is 1 and 5:)

-1 19/50 as a decimal number, what is it?

Answers

Answer:-1.38

19/50=.38 in decimal form +(-1) = -1.38

Answer:

uytrfvvhhhhhhhjkklñññññlluuyjnkuyjuyjju

Raisins, almonds, and sunflower seeds are sold together in packages of 350 g.

The ratio of the masses of raisins, almonds, and sunflower seeds is 5:7:2

Determine the mass of raisins in a package

Answers

Answer:

124.9g approximately 125g

Step-by-step explanation:

Sum of total ratio= 5+7+2= 14

Mass of Raisins = 5/14 x 350 = 125g

Mass of almonds = 7/12 x 350 = 175g

Mass of Sunflower = 2/12 x 350 = 50g

Total package = 125 + 175 + 50 = 350g.

You're Welcome

A cognitive psychologist would like to evaluate the claim that the omega-3 fatty acids can help improve memory in normal adult humans. One group of participants is given a large dose of fish extract containing the Omega-3 (500 mg), and a second group is given a placebo containing no Omega-3 (0 mg). The researcher asks each participant to read the front page of a local newspaper thoroughly every morning and to take their prescribed dosage (of either Omega-3 or placebo) immediately afterwards. The researcher gives each participant a memory test at the end of two weeks and records how many news items each participant remembers from the past three weeks of news. Answer the following:
A) What names would you give the independent and dependent variables;
B) Is the dependent variable discrete or continuous?
C) What scale of measurement (nominal, ordinal, interval or ratio; and continuous or discrete) is used to measure the independent variable?
D) What research method is being used (experimental or observational)? Explain why you conclude that the research method is one or the other.

Answers

Answer:

(a)

Independent Variable- Dosage of Omega-3 Fatty AcidsDependent Variable - Number of news item remembered

(b)Discrete

(c)Ratio Scale and Discrete Variable

(d) Experimental Method

Step-by-step explanation:

The psychologist wants to evaluate the claim that omega-3 fatty acids can help improve memory in normal adult humans.

(a)In the study, the participants in the two groups were given fish extracts containing Omega-3 (500 mg) and no Omega-3 (0 mg).

The memory test involves measuring the number of items each participant remembers from the past three weeks of news.

Therefore:

Independent Variable- Dosage of Omega-3Dependent Variable - Number of news item remembered

(b) The dependent variable is discrete since the number of news items remembered can only be whole numbers.

(c)The independent variable is in milligrams of Omega-3 where the placebo is 0 mg. This is a ratio scale since it has an absolute zero.

Since the dosage is given in multiples of 50mg, it is a discrete variable.

(d)Since the psychologist seeks to manipulate the conditions of the study by introducing Omega-3 to some of the participants and placebo to other participants, it is an experimental distribution.

When can we say that the two triangles are congruent?

Answers

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

What is congruent?

Congruent refers to things that are exactly the same size and shape. Even if we flip, turn, or rotate the forms, the shape and size should remain the same.

Here,

we have to prove when can we say that the two triangles are congruent.

SSS, SAS, ASA, AAS, and HL.

These tests describe combinations of congruent sides and/or angles that are used to determine if two triangles are congruent.

Hence, two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

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2. The table includes results from polygraph experiments. In each case, it was known if the
subject lied or did not lie, so the table indicates when the polygraph test was correct. Find the
test statistic needed to test the claim that whether a subject lies or does not lie is independent of
the polygraph test indication.
Polygraph test indicated
that the subject lied.
Polygraph test indicated
that the subject did not lie.
025.571
Did the Subject Actually Lie?
No (did not lie) Yes (lied)
15
32
42
9
(1 poir

2. The table includes results from polygraph experiments. In each case, it was known if thesubject lied

Answers

We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

How to explain the hypothesis

The test statistic needed to test the claim that whether a subject lies or does not lie is independent of the polygraph test indication is the chi-square statistic.

In this case, the grand total is 90. The row totals are 57 and 33, and the column totals are 42 and 48. The expected frequencies are as follows:

The chi-square statistic is calculated as 0.177. The p-value for the chi-square statistic is calculated using a chi-square table. The degrees of freedom for the chi-square table are the number of rows minus 1, multiplied by the number of columns minus 1.

Since the p-value is greater than 0.05, we fail to reject the null hypothesis. We cannot conclude that whether a subject lies or does not lie is independent of the polygraph test indication.

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*WILL BRAINLIEST* Determine the interval(s) on which the given function is decreasing.

(Answer choices in picture)

*WILL BRAINLIEST* Determine the interval(s) on which the given function is decreasing. (Answer choices

Answers

Answer:

a

Step-by-step explanation:

*WILL BRAINLIEST* Determine the interval(s) on which the given function is decreasing. (Answer choices

ema scores 72 marks out of 80 in her inglesh exam convert into 90 percent what is the answer step by step​

Answers

(72/80)x90=81
Divide seventy-two by eight and multiply it Ninety.

Answer:

see explanation

Step-by-step explanation:

To convert the score to a percent

Divide 72 by 80 and multiply by 100% , that is

\(\frac{72}{80}\) × 100% = 0.9 × 100% = 90%

determine the volume of a sphere with a radius of 4.75 inches round your answer to the nearest hundredth use 3.14 for pie.

Answers

Hi, the answer is 448.92

Answer:

Step-by-step explanation:

V≈448.92in³

r Radius = 4.75
V=4/3πr3=4/3·π·4.753≈448.9205in³

36/(x-3)=4 thank uu :>

Answers

Answer:

12

Step-by-step explanation:

36 / (x - 3) = 4

multiply both sides by (x - 3):

(x - 3)(36 / (x - 3)) = 4(x - 3)

36 = 4(x - 3)

expand right side:

36 = 4x - 12

add 12 to both sides:

36 + 12 = 4x - 12 + 12

48 = 4x

divide both sides by 4:

48/4 = 4x/4

x = 12

Quentin is one third the age of his aunt. And 20% older than his sister. If Quentin's sister is 15 years old, how old is his aunt?

Answers

Answer:

54

Step-by-step explanation:

20% of 15 is 3 so Quentin is 18 years old

If Quentin is one thrid his Aunt's age that means his aunt is three times older.

18 * 3 = 54

So his Aunt is 54 years old

The age of Quentin's aunt is 54 years if the Quentin is one third the age of his aunt if we solve by making the Quentin's Aunt age as variable x.

What is a equation?

An equation is a formula that expresses the equality of variables.

How to determine age of aunt?

let the age of the aunt is x years.

According to the question the age of Quentin is x/3 years.

The age of Quentin's  sister is x/3*100/120

=5x/18

We have been given the age of Quentin's sister is 15 years.

So, 5x/18=15

=x=54 years

Hence the age of aunt is 54 years old.

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23 is what percent of 92

Answers

23 is 25% of 92

You find this by taking 23/92=.25
23 is 25% of 92

do 23 divided by 92

A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25. How many of each type of frust was sold?

Answers

A store sells 5 oranges and 10 apples.

What is the cost amount?

The cost of an asset to you often serves as its basis. The cost is the sum that you pay for it using money, debt, other goods, or services. Sales tax and other purchase-related costs are included in the price.

Here, we have

Given: A store sells oranges and apples. Oranges cost $1.00 each and apples cost $2.00 each. In the first sale of the day, 15 fruits were sold in total, and the price was $25.

We have to determine how many of each type of fruit were sold.

We, let the oranges be x.

let the apples be y.

x + y = 15...(1)

1x + 2y = 25...(2)

We subtract equation(2) from equation(1), we get

y = 10

Now we put the value of y in equation (1) and we get

x + 10 = 15

x= 5

Hence, a store sells 5 oranges and 10 apples.

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The Problem of the Points. Two players engage in a game. They are equally matched, and the chances of winning a point are the same for each player. The first player to score 10 points wins the $100 stakes. The game is interrupted suddenly when Player A has 7 points and Player B has 5 points. How should the stakes be divided fairly

Answers

Answer:

Player A receives $77.34375 of the sakes

Player B receives $22.65625 of the stakes

Step-by-step explanation:

Given that at the time the game was interrupted, we have;

The number of points player A  has = 7 points

The number of points player B has = 5 points

The amount the first player to score 10 points wins = $100

The number of points remaining for player A to win the game = 3

The number of points remaining for player B to win the game = 5

Therefore, the number of trials remaining for a winner to emerge = 3 + 5 - 1 = 7 trials

We take the probability that Player A wins a point as success

We find the likelihood of Plater A winning by using binomial theory as follows;

\(P(S) = \sum\limits_{j=3}^7 \dbinom{7}{3} \cdot \dfrac{1}{2^7} = \dfrac{35}{128} + \dfrac{35}{128} + \dfrac{21}{128} + \dfrac{7}{128} + \dfrac{1}{128} = \dfrac{99}{128}\)

Therefore, given that the likelihood of Player A winning = 99/128

The stakes should be divided such that Player A gets 99/128 share of the stakes while Player B gets 1 - 99/128 = 29/128 share of the stakes

Therefore, Player A gets (99/128) × $100 = $77.34375

Player B gets (29/128) × $100 =  $22.65625

Could I please get help with this. For ism confused as I have tried multiple times to get the correct answers

Could I please get help with this. For ism confused as I have tried multiple times to get the correct

Answers

item (a):

To find if those figures are congruent, we can just compare the measures of the corresponding sides. Both smaller bases are 1 unit wide, both bigger basis are 2 units wide, therefore, those trapezoids are congruent.

item (b):

To answer this item, let's analyze each transformation individually. Figure A vertices are

\(\lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace\)

and Figure B vertices are

\(\lbrace(5,-2),(2,-2),(2,-4),(3,-4)\rbrace\)

On the first transformation, we have a translation 6 units up, then a rotation counterclockwise of 180º. To do a translation 6 units up, we add 6 to the y-coordinate of each vertice.

\((x,y)\rightarrow(x,y+6)\)

Doing this transformation on figure A, we have

\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(-5,-4+6),(-2,-4+6),(-2,-2+6),(-3,-2+6)\rbrace \\ =\lbrace(-5,2),(-2,2),(-2,4),(-3,4)\rbrace \end{gathered}\)

The rule for a rotation by 180° about the origin is

\((x,y)\rightarrow(-x,-y)\)

Doing this transformation on the image after the translation, we have

\(\lbrace(-5,2),(-2,2),(-2,4),(-3,4)\rbrace\rightarrow\lbrace(5,-2),(2,-2),(2,-4),(3,-4)\rbrace\)

And those are the coordinates of Figure B, thus, a translation 6 units up and then a rotation counterclockwise of 180º around the origin takes Figure A to Figure B.

The second transformation is a translation 8 units up

\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(-5,-4+8),(-2,-4+8),(-2,-2+8),(-3,-2+8)\rbrace \\ \lbrace(-5,4),(-2,4),(-2,6),(-3,6)\rbrace \end{gathered}\)

and then, a reflection over the y-axis. The rule for a reflection over the y-axis is

\((x,y)\rightarrow(-x,y)\)

Doing this transformation on the previous figure, we have

\(\lbrace(-5,4),(-2,4),(-2,6),(-3,6)\rbrace\rightarrow\lbrace(-5,-4),(-2,-4),(-2,-6),(-3,-6)\rbrace\)

The final figure is NOT figure B. This series of transformations doesn't take figure A to figure B.

The third series of transformation are a reflection on the x-axis, and then a translation 7 units to the right.

The rule for a reflection over the x-axis is

\((x,y)\rightarrow(x,-y)\)

Using this transformation on figure A, we have

\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(-5,4),(-2,4),(-2,2),(-3,2)\rbrace \end{gathered}\)

And then, a translation 7 units to the right

\(\begin{gathered} \lbrace(-5,4),(-2,4),(-2,2),(-3,2)\rbrace \\ \rightarrow\lbrace(-5+8,4),(-2+8,4),(-2+8,2),(-3+8,2)\rbrace \\ =\lbrace(3,4),(6,4),(6,2),(5,2)\rbrace \end{gathered}\)

The final figure is NOT figure B. This series of transformations doesn't take figure A to figure B.

And finally, the last transformation is a 90º clockwise rotation, and then translate the figure 6 units to the right.

The rule for a 90º clockwise rotation is

\((x,y)\rightarrow(-y,x)\)

Doing this transformation on figure A, we have

\(\begin{gathered} \lbrace(-5,-4),(-2,-4),(-2,-2),(-3,-2)\rbrace \\ \rightarrow\lbrace(4,-5),(4,-2),(2,-2),(2,-3)\rbrace \end{gathered}\)

Then, a 6 units translation to the right

\(\begin{gathered} \lbrace(4,-5),(4,-2),(2,-2),(2,-3)\rbrace \\ \rightarrow\lbrace(4+6,-5),(4+6,-2),(2+6,-2),(2+6,-3)\rbrace \\ =\lbrace(10,-5),(10,-2),(8,-2),(8,-3)\rbrace \end{gathered}\)

And those are not the coordinates for Figure B.

The only translation from this list that takes Figure A to Figure B is the first option.

"Translate Figure A up 6 units, and then rotate that result counterclowise 180º about the origin"

what is the probability that either event will occur?

what is the probability that either event will occur?

Answers

The probability that either event will occur is P ( C ) = 0.89

Given data ,

Let the probability that either event will occur  be P ( C )

P ( A ) = 20/36

P ( B ) = 12/36

where P ( A or B ) = P ( C )

P ( C ) = P ( A ) + P ( B )

P ( C ) = 32/36

P ( C ) = 0.88888

Hence , the probability is P ( C ) = 0.89

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1 meter is equivalent to how many feet A restaurant keeps eggs in a rack that has 5 layers each layer has 5 row with 5 eggs in each row Are new DNA strands being synthesized in the 5 to 3 direction from their DNA templates? There are 320 sixth grade students at Median Middle School. The school is hosting a field trip and 45% of the students are going. How many students from Median Middle School are going on the field trip? 9. One number is 7 more than twice another number. The sum of the numbers is 22. What is one of the numbers?O-5O 1007O 17 Swahili culture developed largely as a result of Please help me with this homework Which is the net for this rectangular prism, ASAP, please. what do factors 16 and 24 have in common? plz help HELP found the missing number and what type of decay is the equation Jacob is a network technician who works for a publishing company. He is setting up a new hire's access permissions. The new hire, Latisha, is an editor. She needs access to books that have been accepted for publication but are in the review stage. Jacob gives her access to the network drive containing only books in review, but not access to administrative or human resources network drives. What principle is Jacob applying the costs of changing price tags and price listings are known as a. relative-price variability costs. b. menu costs. c. shoeleather costs. Find the inverse of the function. f(x) = [tex]4x^{2} \\[/tex] , x [tex]\leq[/tex] 0 The inverse of g(x) = ___ You have an existing $11,000 car loan which requires you to pay $225 at the beginning of each month for the next 5 years, at which point it will be fully repaid. What annually compounded interest rate are you paying on the loan? AND What dollar amount of interest will you have paid over the term of the loan? Real Rate of Return = (nominal, annual rate of return- annual inflation rate) /(1+ inflation rate ) After-Tax Rate of Return = nominal, annual rate of return (1 Marginal Tax Rate) Real After-Tax Rate of Return =( after-tax rate of return annual inflation rate )/(1+ inflation rate) Rate =9.03% and Interest =$2,500 Rate =8.68% and Interest =$4,966.50 Rate =8.00% and Interest =$2,483.25 Rate =8.70% and Interest =$13,500 a client with symptoms of cushing syndrome is admitted to the hospital for evaluation and treatment. the nurse is creating a plan of care for the client. which is an appropriate nursing diagnosis? a 1.00 l flask is filled with 1.25 g of argon at 25 c. a sample of ethane vapor is added to the same flask at constant volume and temperature until the total pressure is 1.000 atm . Write your answers on the lines below. 5. Explain how the modern discovery of antibiotics required scientists to build on the work of others in the field. 6. In recent years, antibacterial hand soaps have become very popular. Do you think the widespread- use of these soaps is wise? Explain your answer. 7. One problem with using pesticides to control insects on crops is that the insects can develop resistance to the chemicals. How is this similar to the overuse of antibiotics? 8. Give one example of how a group of ancient people used a version of antibiotics. 9. Why do you think there was a rush to mass produce penicillin around the time of World War II? 10. What are probiotics, and how are they used? plsssss help !! what are the steps to convert from atoms, compounds, formula units, ect to moles In winter I get up at night and dress by yellow Andre light in summer quite the other way I have to go to bed by day I have to go to bed and see the birds still hopping on the tree or near the grown up peoples feet still going past me in the street and does it not seem hard to u when all the sky is clear and blue and I should like so much to play to have to go to bed by day? What is the authors problem? 1. He does not like taking naps. 2. He does not like going to bed before sunset3. He does not like waking early 4. He does not like hearing noises Question 5 of 10How are satire and sarcasm different?XO A. Sarcasm implicitly insults someone, while satire explicitly insultsits subject.B. Satire is used to persuade an audience, while sarcasm is used totell a joke.C. Satire is used in writing, while sarcasm is solely used in spokenconversation.D. Sarcasm is meant to incite change, while satire is meant to insultits subjectX Incorrect