Please help me I just look at the photo I am so confused

Please Help Me I Just Look At The Photo I Am So Confused

Answers

Answer 1

Answer:

Step-by-step explanation:

1:Pl 2:Th 3:Th 4:P 5:P 6:Pl 7:Pl 8:Th 9:Th 10:Th 11:Pl 12:P  

There you go, the numbers go down. So Iowa is 1 and so on, I don't know if they are all right but I did my best.


Related Questions

I lowkey need help like immediately

Answers

The answers to all the parts are given below.

What is a expression? What is a mathematical equation? What do you mean by domain and range of a function?A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have a function h = -16t² + 1800, that gives the height of the person at time [t] seconds.

[A] -

For [x] = 1000ft, we can write -

1000 = -16t² + 1800

16t² = 800

t² = (800/16)

t² = 50

t = 7.07 seconds

[B] -

For [x] = 950ft, we can write -

950 = -16t² + 1800

16t² = 850

t² = 53.125

t² = √(53.125)

t = 7.29 seconds

[C] -

The domain of the function will be -

0 ≤ x ≤ 10

[D] -

The range of the function will be -

0 ≤ h ≤ 1800

Therefore, the answers to all the parts are given above.

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Write the statement "the sum of a number and 10.7 is at most −3.2" as an inequality.

100 PTS HURRY

−3.2 + b > 10.7

−3.2 + b < 10.7

b + 10.7 ≥ −3.2

b + 10.7 ≤ −3.2

Answers

The given statement can be written in terms of inequality as b + 10.7 ≤ 3.2. The correct option is (d).

What is linear inequality?

Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.

Unlike a linear equation it can have a range of values inside an interval.

The given statement can be written in terms of inequality as follows,

The statement is, "the sum of a number and 10.7 is at most −3.2".

Suppose the number be b.

The following expression can be written,

b + 10.7 ≤ 3.2

Hence, the required inequality expression for the given problem is b + 10.7 ≤ 3.2.

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What expression is an equivalent expression of 12x+10+4y

Answers

The expression that is an equivalent expression of 12x+10+4y is D 2(6x + 5 + 2y).

How to illustrate the expression?

In Mathematics, expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.

In this case, the expression that is an equivalent expression of 12x+10+4y is 2(6x + 5 + 2y). The correct option is D.

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Which expression is an equivalent expression of 12x + 10 + 4y?

A.) 2(6x + 2y + 6)

B.) 3(4x + y + 10)

C.) 2(6x + 4y + 8)

D.) 2(6x + 5 + 2y)

determine the equation of the line of the line of best fit from the data in the table on the right. x 4 5 6 7 10 y = 14 14 17 19 26

Answers

The equation for the line of best fit from the given data, will be y = 2.12 x + 4.42.

How to find the line of best fit ?

The line of best fit would be the line that has an equal number of points above it, as the number of points beneath it.

Going by this definition, two points that would be on the line are (6, 17) and ( 7, 19 ).

The slope of this line would be:

= ( Y2 - Y1 ) / ( X 2 - X1)

= ( 19 - 17 ) / (7 - 6 )

= 2.12

The y intercept would be:

y = mx + c

19 = 2.12 (7 ) + c

c = 4.42

The equation of the  line of best fit is then :
y = 2.12 x + 4.42

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Write the standard form of the quadratic function whose graph is a parabola with the given vertex and that passes through the given point. (Let x be the independent variable and y be the dependent variable.)
Vertex: (2, 3); point: (0, 2)

Answers

[tex]~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{"a"~is~negative}{op ens~\cap}\qquad \stackrel{"a"~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=2\\ k=3 \end{cases}\implies y=a(x-2)^2 +3\hspace{5em}\textit{we also know that} \begin{cases} x=0\\ y=2 \end{cases} \\\\\\ 2=a(0-2)^2 + 3\implies -1=a(-2)^2\implies -1=4a\implies \cfrac{-1}{4}=a \\\\\\ ~\hfill {\Large \begin{array}{llll} y=-\cfrac{1}{4}(x-2)^2 + 3 \end{array}} ~\hfill[/tex]

Which of the following is true?

Triangle B C D. The exterior angle at B is labeled 1 and the interior angle is labeled 2. Angle C has measure 70 degrees. The exterior angle at D has measure 130 degrees.
A. m∠BCD − m∠DBC = 10°
B. m∠BCD − m∠DBC = 20°
C. m∠BCD − m∠DBC = 60°
D. m∠BCD − m∠DBC = 80°

Answers

Answer:

answer :J LOOK THE DIAGRAM CAREFULLY AND UNDERSTAND

Answer:

A <c - <b = 10

Step-by-step explanation:

Two Truths & One Lie: Which of the 3 statements below is a lie? Explain how you made your decision.
x=2 y=5 z=7

Answers

Answer:

The 3rd statement is a lie and other two are truth.

Step-by-step explanation:

when two same numbers with power are divided their respective powers are subtracted.

1.

[tex] {b}^{a } \div {b}^{c} = {b}^{a - c} [/tex]

Using this formula for

[tex] {b}^{9} \div {b}^{y} = {b}^{4} [/tex]

[tex] {b}^{9 - 5} = {b}^{4} [/tex]

Here RHS =LHS

so the equation is true

2.

[tex] {b}^{z} \div {b}^{x} = {b}^{5} [/tex]

[tex] {b}^{7 - 2} = {b}^{2} [/tex]

Here RHS=LHS,

so the equation is true

3.

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

[tex] {b}^{8 - 2} = {b}^{8}[/tex]

Here RHS is not equal to LHS

so the equation is false

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Let F be any nonconstant vector field of the form F = f (x) i + g (y) j + h (z) k and let G be any nonconservative vector field of the form G = f (y, z) i + g (x, z)j + h (x, y) k. Indicate whether the following statements are true or false by placing ''T'' or ''F'' to the left of the statement. 1. G is incompressible 2. F is irrotational 3. G is irrotational 4. F is incompressible

Answers

1. G is incompressible- True

2. F is irrotational- True

3. G is irrotational- False

4. F is incompressible- False

Divergence and Curl In Mathematics, divergence is a differential operator, which is applied to the 3D vector-valued function. Similarly, the curl is a vector operator which defines the infinitesimal circulation of a vector field in the 3D Euclidean space .

So if we calculate for F:

F has a divergence potentially

divF = df/dx + dg/fy + dh/dz

But curl(F )= 0(all cross derivatives df/dy df/dz, dg/dx etc = 0)

For G

G has zero divergence.

divG = df/dx + dg/fy + dh/dz = 0 + 0 + 0 = 0

But it may have a curl.

curl(G) = df/dy may be non-zero

df/dz, dg/dx etc may all be non-zero

Now, we also know that if the divergence is zero, the vector field is incompressible and if the curl is zero, the vector field is irrotational, that is,  

div = 0 = incompressible and

curl = 0= irrotational  

Thus,

1. G is incompressible- True

2. F is irrotational- True

3. G is irrotational- False

4. F is incompressible- False

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4x - 8y = -4
-2x + 8y = -2
Solve by elimination

Answers

Answer:

X=1 Y=0

Step-by-step explanation:

Multiply the second equation (-2x + 8y = -2) by 2 in order to get -4x+16y=-4.
Using this equation, you can eliminate the x

4x - 8y = -4
-4x+16y=-4.
=
8y=0
y = 0

Now, knowing that y=0, plug y into the second equation:

-2x+8(0)=-2
simplify
-2x=-2
lastly, divide both sides by -2
x=1

Create a slope intercept equation with given information (3,1) m =0

Answers

Answer:

y = x - 2

Step-by-step explanation:

Since m = 0, what we have so far is y=x+b

We have a point, which is (3,1)

Substitute the x and y with the x and y values in the coordinate point to solve for b (y-intercept).

1=3+b

1-3=3+b-3                  undo the 3 by subtracting

-2 = b

y = x + -2                   simplify

y = x - 2

The size of a population is modeled by the function P that satisfies the logistic differential equation dP/dt=(1/10)P - (1/5000)P^2 , where t is measured in months and P (0) = 50. What is the size of the population at the moment when the population is growing most rapidly? A. 50 B. 250 C.500 D. 2500

Answers

The correct answer is A.

500 is the size of the population at the moment of maximum growth.

Given data:

To find the size of the population at the moment when the population is growing most rapidly, we need to determine the maximum value of the derivative dP/dt.

Given the logistic differential equation [tex]\frac{dP}{dt} = (\frac{1}{10})P - (\frac{1}{5000})P^2[/tex], find the derivative by taking the derivative of each term separately:

[tex]\frac{dP}{dt} = (\frac{1}{10})P - (\frac{1}{5000})P^2[/tex]

To find the critical points where the derivative is zero or undefined, set dP/dt equal to zero:

[tex](\frac{1}{10})P - (\frac{1}{5000})P^2=0[/tex]

Simplifying:

[tex](\frac{1}{10})P= (\frac{1}{5000})P^2[/tex]

[tex]10P^2=5000P[/tex]

Dividing both sides by P and rearranging:

[tex]10P(P-500)=0[/tex]

This equation has two solutions: P = 0 and P = 500.

To determine which solution corresponds to the moment when the population is growing most rapidly, examine the second derivative. Taking the second derivative of the logistic differential equation, we have:

[tex]\frac{d^2P}{dt^2} = \frac{1}{10} - \frac{2}{5000}P[/tex]

Evaluating the second derivative at P = 0 and P = 500, we get:

[tex]\frac{d^2P}{dt^2}_{P=0} = \frac{1}{10} - \frac{2}{5000}(0)[/tex]

[tex]\frac{d^2P}{dt^2}_{P=0}= \frac{1}{10} > 0[/tex]

[tex]\frac{d^2P}{dt^2}_{P=500} = \frac{1}{10} - \frac{2}{5000}(500)[/tex]

[tex]\frac{d^2P}{dt^2}_{P=0}= -\frac{1}{10} < 0[/tex]

Since the second derivative is positive at P = 0 and negative at P = 500, the moment when the population is growing most rapidly occurs at P = 500.

Hence, the size of the population at the moment when the population is growing most rapidly is 500.

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What is the total surface area of the rectangular prism?

Answers

Answer:

256 feet.

Step-by-step explanation:

The equation for the surface area of a rectangular prism is lw x lh x hw. That means it would be 12x4, 12x5, and 4x5. In total that is 256.

4-1 3/5 write as a mix number in simplest form

Answers

Answer:

Step-by-step explanation:

17/5

Answer:

2 and 2/5

Step-by-step explanation:

W 5. Suppose that 40% of the cars in a certain town are white A person stands at an intersection waiting white car. Let X= the number of cars that must drive by until a white one drives by. What is the exp value of X?​

Answers

The no. of cars that must drive by until a white one drives by is 40.

What is a binomial distribution in probability?

In an experiment with two possible outcomes, the likelihood of exactly x successes on n repeated trials is known as the binomial probability (commonly called a binomial experiment). The binomial probability is

[tex]^nC_xp^Xq^{n-x}[/tex].

We know the expected value of a binomial distribution E(x) = np.

Given, Suppose that 40% of the cars in a certain town are white.

Therefore 50% of cars in the town are not which.

Let, The no. of cards in the town be 'n'.

So, p = 40/n and q = 60/n

Therefore from the formula E(x) = np we get,

E(x) = n×40/n

E(x) = 40.

So, The expected value of X is 40.

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Answer: We expect 2.5 cars to

The expected value of X is 2.5.

Step-by-step explanation:

In this case, it is a geometric distribution because we do not have a fixed number of trials.

We use the formula of a geometric distribution to find the mean (the expected value) such that mu_x = 1/p.

In this case:

mu_x=1/0.4 = 2.5

In this case, we do not round up or down even if we cannot have half a car because we want the expected value (mean).

Yosef drove 11,190 miles last year. His truck's fuel efficiency averages 19 mpg, and the average cost of gas last year was $2.15 per gallon. Determine Yosef's average weekly fuel cost.
$32.12
$24.35
$28.55
$30.05

Answers

Yosef's average weekly fuel cost is $24.35.

How to find the the average weekly fuel cost?

Yosef drove 11,190 miles last year.  His truck's fuel efficiency averages 19 mpg, and the average cost of gas last year was $2.15 per gallon.

Yosef average weekly fuel cost can be computed as follows:

Yosef used 11190 / 19 = 588.95 gallons to drive 11190 miles.

Therefore, the average cost of gas last year was 2.15 dollars per gallon.

Therefore, Yosef's average weekly fuel cost would be as follows:

Yosef's average weekly fuel cost = 2.15 x 588.95 ÷ 52 = $1266.23684211 ÷ 52

Yosef's average weekly fuel cost = 24.350708502

Yosef's average weekly fuel cost = $24.35

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A store bought a sofa wholesale for 200 and marked it up 15% when the sofa did int sell they reduced the price 15% show why the current price is not 200

Answers

Answer:

The current price of sofa is $195.50.

Step by Step explanation:Cost price of the sofa for the store = $200

Now, the store marked it up 15%.

So, marked price of sofa = $200 + 15% of $200

=200 + 30

=$230

Now, it is given that the sofa could not sell at this price. So, the store reduces its price by 15% now.

So, current price of sofa = $230 - 15% of $230

= 230 - 34.5

=$195.5

So, the current price of the sofa is $195.50.

PLEASE HELP AGAIN I STILL NEED TO GET THESE DONE

Answers

Answer:

........................

Solve for x: −8 < x − 1 < 5

−7 < x < 6

7 < x < 6

−7 > x > 6

7 > x > 6

Answers

Answer:

- 7 < x < 6

Step-by-step explanation:

- 8 < x - 1 < 5 ( add 1 to each interval )

- 7 < x < 6

Maria is making an apple pie. She needs 1/4 cup of sugar for each pie Maria has 2 1/2 cups of sugar how many pies can she make

Answers

The number of cups she can make is 2 cups

How to determine the number of cups she can make

From the question, we have the following parameters that can be used in our computation:

Cups of sugar needed = 1/4

Cups of sugar available  = 1/2

Assume there exist a proportional relationship between the cups

The number of cups she needs can be calculated using the following equation

number of cups = (1/2)/(1/4)

Evaluate the quotient

number of cups = 2

Hence, the cups is 2 cups

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A water tank initially contained 65 liters of water. It is being drained at a constant rate of 2.5 liters per minute.
How many liters of water are in the tank after 109 seconds? Round answers to the nearest whole liter.

Answers

(p-124) / 9 min many liters of water are in the tank after 109 seconds.

for 4 min =  65 + (6.5x4) = 91 lit

for  109 sec = 65 + (9x 109/60) = 81.35 lit

for m min = 65 + (9m) lit

how long time

for 151 lit = (151 - 124)/9 = 3 min

for 191.5 lit = (191.5-124) /9 = 67.5/9 = 7.5 min means 7 min 30 sec

for 270.25 lit = (270.25 - 124)/9 = 146.25/9 = 16.25 means 16 min 15 sec

for p lit = (p-124) / 9 min

What is liters ?

The water must be measured and expressed in the same unit for all of the containers. The litre is the name of that common unit for measuring liquid. Liquids are measured in litres, millilitres, centilitres, kiloliters, etc., including water, milk, gasoline, and oil.

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What % of 780 shirts is 46​

Answers

Answer:

i think the answer will be 6%

Answer:

below

Step-by-step explanation:

46 / 780  * 100% = 5.9 %

A water tank initially contained 57 liters of water. It is being drained at a constant rate of 2.5 liters per minute.
How many minutes have passed m when the tank contains 35 liters? Round go the nearest tenth

Answers

Answer:

8.8 minutes

Step-by-step explanation:

first we figure out how many liters are being lost

57 - 35 = 22

then divide that by 2.5

22 / 2.5 = 8.8

8.8 minutes

It takes a bus 1 hour and 30 minutes to travel 42 miles.

Calculate the average speed of the bus in mph.
If your answer is a decimal, give it to 1 d.p.

Answers

28 mph is  the average speed of the bus in mph.

What is speed?

The speed of a change in an object's location in any direction. The distance traveled relative to the time it took to travel that distance is how fast something is moving.

                                 Meters per second (m/s), kilometers per hour (km/h), and miles per hour (mph) are the most popular speed units (mph). The distance an object covers in a given amount of time is its speed. Speed = distance x time is the speed formula. The meter per second, also known as the m/s or ms-1, is the SI unit of velocity.

time = (1+ 1/2)hr = 3/2 hr = 1.5 hr

distance = 42 miles

average speed = total distance/total time

42/1.5 = 28 mph

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Write the equation x^2 - 10x + 17 = 0 in the form (x+p)^2 = q (50 points!)

Answers

Answer: (x-5)²=8

Step-by-step explanation:

x²-10x+17=0

x²-2(x)(5)+5²-5²+17=0

(x²-2(x)(5)+5²)-25+17=0

(x-5)²-8=0

(x-5)²-8+8=0+8

(x-5)²=8

Answer:

(x - 5)² = 8

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

Given

Expression  x² - 10x +17.

Convert this to vertex form by completing the square.

Recall identity (a ± b)² = a² ± 2ab + b² and apply as given below:

x² - 10x + 17  =

x² - 2*5*x + 5² - 5² + 17  =

(x - 5)² - 25 + 17 = (x - 5)² - 8

(x - 5)² = 8

The top-selling Red and Voss tire is rated 60000 miles, which means nothing. In fact, the distance the tires can run until wear-out is a normally distributed random variable with a mean of 70000 miles and a standard deviation of 7000 miles.

Answers

A) The probability that the tyre wears out before 60000 miles is 0.4221

B) The probability that the tyre lasts more than 83000 miles is 0.49534

The distance the tyres can run until wear-out is a normally distributed, the formula for normal distribution is expressed as

z = (x - u)/s

Where

x = the distance the tyres can run until wear-out

u = mean distance

s = standard deviation

From the information given,

u = 70000 miles

s = 7000 miles

A) We want to find the Probability that the tyre wears out before 60000 miles. It is expressed as

P(x lesser than 60000)

For x = 60000,

z = (60000 - 70000)/7000 = - 1.42

Looking at the normal distribution table, the corresponding z score is 0.4221

B)We want to find the probability that the tyre lasts more than 83000 miles. It is expressed as

P(x greater than 83000) = 1 - P(x lesser than or equal to 83000)

For x = 83000,

z = (83000 - 70000)/5000 = 2.6

Looking at the normal distribution table, the corresponding z score is 0.49534

P(x greater than 83000)

= 1 - 0.49534  = 0.50466

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Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection.L1: x = 5-12t, y = 3+9t, z = 1-3tL2: x = 3+8s, y = -6s, z = 7+2s

Answers

The given lines L1 ⇒ x = 5-12t, y = 3+9t, z = 1-3t and L2 ⇒ x = 3+8s, y = -6s, z = 7+2s  are parallel lines .

In the question ,

it is given that ,

the two lines are :

L1 ⇒ x = 5-12t, y = 3+9t, z = 1-3t

L2 ⇒ x = 3+8s, y = -6s, z = 7+2s

If the lines are intersecting then :

5 - 12t = 3 + 8s

8s + 12t = 2

4s + 6t = 1 ;   .....equation(1)

and 3 + 9t = -6s

3t + 2s + 1 = 0

multiplying both sides by 2 ,

we get ,

6t + 4s + 2 = 0  ....equation(2)

Solving equation(1) and equation(2) , we get

3 ≠ 0 .

So , the lines are not intersecting .

For lines to be parallel , the cross product of their directions must be 0 .

So , [tex]\left|\begin{array}{ccc}i&j&k\\-12&9&-3\\8&-6&2\end{array}\right|[/tex]

On simplifying further ,

we get ,

⇒ 0i - 0j + 0k

= 0

So , the cross product is 0 ,  lines will be parallel .

Therefore , the lines L1 and L2 are parallel .

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7. Solve the proportion.
2/3=a/15
8. Solve the proportion.
4/7=44/m

Answers

Answer:

a=10

m=28

Step-by-step explanation:

2/3= 0.666666666666666

a/15=??????

try all numbers divided by 15 untill you found 0.666666666666666 which is =10/15

4/7=0.571428571428571

44/m=???????

do the same as the first one

it will be 44/28=0.571428571428571

An initial balance of $4,000 grows at a rate of 12.3% compounded quarterly. What is the balance after 5 years?

Answers

Answer:

7330.36

Step-by-step explanation:

A = P (1+i)^n

n  = 4×5 = 20

i = 0.03075

12.3% / 4 = 3.075  × 1/100

= 0.03075

A = 4000 ( 1+ 0.03075 ) ^20

= 7330.36

Elvia has a bag of snack mix that contains 5 cereal pieces, 4 peanuts, 5 pretzels, and 1 bagel chip. Suppose that she is equally likely to pick any individual object from the bag. What is the probability that Elvia will randomly pull a pretzel from the bag?

Answers

Answer: 33%

Step-by-step explanation: a third of the items in the bag are pretzels.

One of the legs of a right triangle measures 2 cm and the other leg measures 7 cm. Find the measure of the hypotenuse. If necessary, round to the nearest tenth.

Answers

Answer:

Hypotenuse = 7.3 cm

Step-by-step explanation:

We can find the hypotenuse using the Pythagorean Theorem, which is:

[tex]a^2+b^2=c^2[/tex], where a and b are the legs of the right triangle and c is the hypotenuse.

By plugging in 2 and 7 for a and b, we have:

[tex]2^2+7^2=c^2\\4+49=c^2\\53=c^2\\7.2801=7.3=c[/tex]

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psychologist jean piaget identified four stages of cognitive development. which of the following is the correct sequence? I need help on question 10 and 11! Pls also put an explanation how you got the answer so I can learn A baby giraffe meaure 6 feet tall when it i born and grow an average of 1/2 foot each month. What i the relationhip between x, the number of month, and y, the height of the giraffe? 3. provide an equation for converting gain g in db to a linear scale. for example, a 6db gain translates to a factor of 2, so y[n] Which sentence is the claim? (1 point)ResponsesAny kid in our neighborhood can play pick-up football, and we treat each other as equals and form great friendships.Any kid in our neighborhood can play pick-up football, and we treat each other as equals and form great friendships.According to The Sports Journal, many professional athletes say that they grew up playing sports this way and learned a lot by playing with a diverse group of kids.According to , The Sports Journal, , many professional athletes say that they grew up playing sports this way and learned a lot by playing with a diverse group of kids.Also, studies show that athletes become more flexible and nimble when they play on a team with kids of other ages.Also, studies show that athletes become more flexible and nimble when they play on a team with kids of other ages.Sports teams should not be based on age. whats 1 1/5+2 fractions the width of a rectangle is 5 feet longer than four times its length, and its area is 26 . if you use l to represent the length of the rectangle, then an expression representing the width is w = ___ The length of the rectangle is feet. feet and the width is ___ the concept of inheritance which suggested that the determinants of hereditary traits are transmitted in discrete units from one generation to the next is called inheritance. how does halina grow from pretending to accepting her? What policy change reduced the size of the Han armies in AD 31? all else being equal, the further the t statistic falls from 0, either in the positive or negative direction, the more likely it is that the difference between two population averages is statistically significant. t or f Which activities are associated with Catherine the Great?Choose all answers that are correct.A. expanded the Russian empireB. improved the education systemC. freed the serfsD. encouraged greater diversity in Russian architecture according to a cloudy history of time, honeywell, ibm, and xerox the dominant companies in what industry in 1975? ___ is stored in a fossil fuel, and released in the form of kinetic energy when burned ? Who did George Washington learn from during the French and Indian War? research into public opinion and public policy has shown that a. every citizen has an equally strong influence over politics and public policy decisions. b. nonvoters have a disproportionate influence over politics and public policy decisions. c. more affluent and more educated citizens have a disproportionate influence over politics and public policy decisions. d. less affluent and less educated citizens have a disproportionate influence over politics and public policy decisions. Is "some people get quite stressful about travelling" a correct sentence Mr. Vincent, the psychology teacher, invited his students stay after school to participate in a study on learning styles so that he could better understand how to teach them. 25 of his students participated.Is this a random sample of the teacher's students? write the importance orruce or law can anyone help its 7th grade math