A map has the scale 2 centimeters = 1 kilometer. on a map, the area of a forest preserve is 3.8 square centimeters. what is the area of the actual forest preserve

Answers

Answer 1

we know that
the scale is 2 cm/1 km
on a map, the area of a forest preserve is 3.8 cm²
assuming it has a square shape
the length side of the square is √3.8 cm
so
if 2 cm on a map-----------------> is a 1 km in the actual
√3.8 cm------------------------> x
x=√3.8/2 km

the area of the actual forest preserve is
(√3.8/2)*(√3.8/2)----> 3.8/4---> 0.95 km²

the answer is
0.95 km²

Answer 2

Final answer:

To find the actual area of the forest preserve, the map area of 3.8 cm² is multiplied by the scale ratio squared (0.25 km²/cm²), resulting in an actual area of 0.95 km².

Explanation:

The area of the actual forest preserve can be calculated by using the scale given, which is 2 centimeters = 1 kilometer. First, we need to convert the area on the map into the actual area using this scale. Since the scale is linear and the area is measured in square units, we need to square the scale ratio to convert the area on the map to the actual area.

To do this conversion we consider that the scale of 2 cm : 1 km means that every 1 cm on the map is equivalent to 0.5 km (since 2 cm is 1 km). Therefore, for the area, we get the following ratio: (1 cm² = 0.5 km) × (1 cm² = 0.5 km), which simplifies to 1 cm² = 0.25 km². Now, we can find the actual area of the forest preserve by multiplying the 3.8 cm² area on the map by the value of each square centimeter in real-life units, which is 0.25 km².

Actual area = Map area × Scale ratio squared
= 3.8 cm² × 0.25 km²/cm²
= 0.95 km².

Therefore, the forest preserve has an actual area of 0.95 square kilometers.

Related Questions

Hey can you please help me out on my question posted picture

Answers

There are 3 outcomes in each game.

For 1st game, there can be either win (W), lose(L) or Tie (T).
For each of these outcome, there can be 3 possible outcomes in 2nd game i.e. either W, L or T

So, the tree diagram will have 3 branches, each further dividing into 3 more branches(nodes)

Thus option C gives the correct tree diagram.

hey can you please help me posted picture of question

Answers

The correct answer is the Option C, which is:

C. G(x)=(x-2)^3

The explanation is shown below:

1. You have the the red graph has the equation F(x)=x^3
2. If you shifted two units to the right, you must add -2 to the function x^3, as below:

G(x)=(x-2)^3

3. If you want to verify this is correct, you need to give values to the variable x and plot each point.
4. You will see that the correct answer is the option mentioned above.

Hey can you please help me posted picture of question

Answers

Vertically compressed means multiplying the function by a number between -1 and 1

From the given options only option C contains such an expression in which x² is multiplied with a number between -1 and 1.

Thus,

G(x) = 3/4 x²

So, the correct answer is option C

Two graphs are shown below:

graph A shows scatter points 1, 1 and 2, 2 and 3, 3 and 4, 4 and 5, 5graph A shows scatter points 1, 4 and 2, 4 and 3, 4 and 4, 4 and 5, 4

Which scatter plot shows a positive correlation between x and y?

Only graph A
Only graph B
Both graph A and graph B
Neither graph A nor graph B

Answers

The answer would be graph A because positive correlation is when the X and Y axis advance together.

The correct answer is graph A

What is the angular velocity of a 6–foot pendulum that takes 3 seconds to complete an arc of 14.13 feet? Use 3.14 for π.

Answers

The angular velocity is the linear speed divided by the radius.
ω = d/(t*r) = (14.13 ft)/((3 s)*(6 ft))
ω = 0.785 radians/second
There are 180/π degrees per radian, so the angular velocity can also be written as ...
ω = 45 degrees/second

A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats cost $45 each and regular seats cost $34 each. All of the theaters 75?preffered seats were sold out that evening. How many tickets were sold?

Answers

Let
P = Number of ticket for preferred seats costing $45 per seat
R = Number of regular seats costing $34 per seat.

Total revenue = P*45 + R*34 =8,917

45P + 34R = 8917

But, number of preferred seats is 75 or P=75 seats
Then,
45*75 +34R = 8917
3375 +34R = 8917
34R = 5542
R = 5542/34 = 163

Total number of seats = P+R = 75+163 = 238 seats. If each seat is sold for one ticket, then 238 tickets wee sold.

On February 1, the electricity meter reading for the Smith residence was 19,423 kilowatt hours. On March 1, the meter read 20,288 kilowatt hours. On April 1, the meter read 21,163 kilowatt hours. a. How many kilowatt hours of electricity did the Smiths use during February? b. How many kilowatt hours did they use during March?

Answers

a. How many kilowatt hours of electricity did the Smiths use during February?

Kilowatt hours of electricity the Smiths used during February:
Meter read on March 1 - meter read on February 1 =
20,288 kilowatt hours - 19,423 kilowatt hours =
865 kilowatt hours
Answer: The Smiths used 865 kilowatt hours of electricity during February

b. How many kilowatt hours did they use during March?

Kilowatt hours of electricity the Smiths used during March:
Meter read on April 1 - meter read on March 1 =
21,163 kilowatt hours - 20,288 kilowatt hours =
875 kilowatt hours
Answer: The Smiths used 875 kilowatt hours of electricity during March

What is the distance d across the lake?

Answers

Answer-

The distance d across the lake is 90ft.

Solution-

In the picture,

ΔABC ≈ ΔCDE

Because,

∠ACB = ∠DCE (∵ vertical opposite angles)∠B = ∠D = 90°∠ACB = ∠CED (∵ as other two angles are same and sum of those two angles when subtracted from 180° will result the same)

So, from similarity properties

[tex]\Rightarrow \dfrac{AB}{DE}=\dfrac{BC}{DC}[/tex]

[tex]\Rightarrow \dfrac{120}{20}=\dfrac{d}{15}[/tex]

[tex]\Rightarrow d=\dfrac{120\times 15}{20}=90[/tex]

Find the length of JK and the measure of M

Answers

Comment
You have two different situations, but both of them are solved the same way.

Step One
Solve for the 2 equal sides.
21x - 9 = 3x + 27 Add 9 to both sides.
21x = 3x + 27 + 9
21x = 3x + 36 Subtract 3x from both sides.
21x - 3x = 36
18x = 36 Divide by 18
x = 36/18
x = 2

That's not quite the answer

Step Two
Find JK
JK = 21x - 9
JK = 21*2 - 9
JK = 42 - 9
JK = 33 <<<<<<< Answer

Step Three
Solve for y
5y + 11 = 12y - 10 Subtract 5y from both sides.
11 = 12y - 5y - 10
11 = 7y - 10 Add 10 to both sides.
11 + 10 = 7y
21 = 7y Divide by 7
21/7 = y
3 = y

Step Four
Solve for M
M = 12y - 10
M = 12*3 - 10
M = 36 - 10
M = 26 <<<<< Answer

JK = 33
M = 74

Hope this Helped!

;D
Brainliest??

Question# 12, find the slope

Answers

From the graph we can see that the line is passing through following two points:

(0,1) and (-4, -2)

Slope = m = (-2 - 1)/(-4 -0 ) = -3/-4 = 3/4

So the slope of given line is 3/4

Thus the correct answer is option B

The slope is given by:
m = (y2-y1) / (x2-x1)
We choose the ordered pairs:
(x1, y1) = (0, 1)
(x2, y2) = (4, 4)
Substituting values we have:
m = (4-1) / (4-0)
m = (3) / (4)
m = 3/4
Answer:
The slope for this case is given by:
m = 3/4
option 2

Please help!!! I very much need help, thank you!

Answers

The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the sides.
BC² = AB² + AC²
BC² = 4² +4² = 32
BC = √32 = 4√2
BC = 4*1.41 = 5.64

The length of segment BC is 5.64 m.

hey can you please help me posted picture of question

Answers

The inverse of the inverse function will give us back the original function.

So the inverse of the inverse function x² -2 will be √(x+2), which i s thus our original function.

So, the answer to this question is option A.

A way to validate the answer is take the composition of the original function and its inverse, the will give the result equal to x

find 1/9 as many as 3 divided by 5

Answers

Final answer:

To find 1/9 as many as 3/5, you multiply 3/5 by 1/9 to get 3/45, which simplifies to 1/15.

Explanation:

To solve the student's question, we need to find what is 1/9 as many as 3/5. This involves multiplying the fraction 3/5 by the fraction 1/9. Here is the step-by-step calculation:

Multiply the numerator of the first fraction (3) by the numerator of the second fraction (1) to get the numerator of the answer.Multiply the denominator of the first fraction (5) by the denominator of the second fraction (9) to get the denominator of the answer.Combine these to get the answer in fractional form.

The calculation will look like this: (3/5) × (1/9) = 3/45 = 1/15.

Thus, 1/9 as many as 3/5 is 1/15.

hey can you please help me posted picture of question

Answers

Correct answer is option D.

The solution is listed below

[tex]F(x)=4x+7 \\ \\ y=4x+7 \\ \\ y-7=4x \\ \\ \frac{y-7}{4}=x \\ \\ x= \frac{y-7}{4} \\ \\ f-^{1}(y) = \frac{y-7}{4} \\ \\ f-^{1}(x) = \frac{x-7}{4} \\ \\ [/tex]

Quadrilateral has angles 45 degrees, 150 degrees, 65 degrees, and N degrees

Answers

n=100
other angles=260
all interior angles of a quadrilateral add up to 360

Brad has 3 pairs of pants, 7 tee shirts, and 2 pairs of sneakers. How many different outfit combinations can he wear

Answers

HE CAN WEAR 42 DIFFERENT COMBOS

Answer:

Step-by-step explanation:

In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x2 to the number of x-intercepts in the graph of g(x) = -x2 -5. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Answers

Part (1):
To get the x-intercepts, we will need to equate the equation to zero and solve for x.
For the parent function, we have:
x² = 0
x = 0
Therefore, the function intersects the x-axis at one point which is the origin.

For the image function we have:
-x² - 5 = 0
x² = -5
x = √-5 which does not exist in real numbers
This means that the image function does not intersect the x-axis at all.

Based on the above, the parent function has one x-intercept while the image one doesn't have any x-intercepts.

Part (2):
I have attached the image containing the two functions , the parent one as well as the image.
As we can note, two changes occurred to the parent function in order to form the image:
1- The parabola was flipped to be pointing downwards instead of pointing upwards
2- The vertex was translated 5 units downwards to be at (0,-5) instead of (0,0)

x^2 only touches the x axis when x=0 and it increases without bound on either side of 0.

-x^2-5 never touches the x axis reaching a maximum at (0,-5) and decreasing without bound on either side of 0

g(x) is f(x) inverted and moved down five units...

Fill in the missing statements and reasons in the proof.
Given: PQRS is a parallelogram.
Prove: PR and QS bisect each other at T.

Answers

Answer:

We have to complete the proof.

PQRS is a parallelogram 1. Given

2. [tex]\overline{PQ}\:is\:parallel\:to\:\overline{RS}[/tex] Definition of a parallelogram

m∠1 ≅ m∠3 4. Alternate interior angles are equal or

m∠2 ≅ m∠4 congruent.

[tex]\overline{PQ}\:\cong\:\overline{RS}[/tex] Opposite sides of a parallelogram are congruent

ΔPQT ≅ ΔRST 5. Triangle are congruent by Angle-Side-

Angle congruent rule

[tex]\overline{PT}\:\cong\:\overline{RT}[/tex] 6. Corresponding parts of Congruent triangles

[tex]\overline{QT}\:\cong\:\overline{ST}[/tex]

7. PR and QS bisect each other at T Definition of a bisector

To prove that PR and QS bisect each other at T in a parallelogram PQRS, we can show that PR and QS intersect at T and divide each other into equal segments.

To prove that PR and QS bisect each other at T, we can use the fact that PQRS is a parallelogram.

We can start by showing that PR and QS intersect at a point, say T. Since PQRS is a parallelogram, its opposite sides are congruent. Therefore, PR is congruent to QS.

Next, we can show that PR and QS divide each other into equal segments. We can do this by proving that triangle PTR is congruent to triangle STQ using the side-angle-side (SAS) congruence criteria.

Learn more about parallelogram here:

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Consider f and c below. f(x, y) = (3 + 4xy2)i + 4x2yj, c is the arc of the hyperbola y = 1/x from (1, 1) to 3, 1 3 (a) find a function f such that f = ∇f. f(x, y) = (b) use part (a) to evaluate c f · dr along the given curve
c.

Answers

We want to find a scalar function [tex]f(x,y)[/tex] such that [tex]\nabla f(x,y)=\mathbf f(x,y)=\dfrac{\partial f}{\partial x}\,\mathbf i+\dfrac{\partial f}{\partial y}\,\mathbf j[/tex].
So we need to have
[tex]\dfrac{\partial f}{\partial x}=3+4xy^2[/tex]
Integrating both sides with respect to [tex]x[/tex] gives
[tex]f(x,y)=3x+2x^2y^2+g(y)[/tex]
Differentiating with respect to [tex]y[/tex] gives
[tex]\dfrac{\partial f}{\partial y}=4x^2y+\dfrac{\mathrm dg}{\mathrm dy}=4x^2y[/tex][tex]\implies\dfrac{\mathrm dg}{\mathrm dy}=0[/tex][tex]\implies g(y)=C[/tex]
So we find that
[tex]f(x,y)=3x+2x^2y^2+C[/tex]
By the fundamental theorem of calculus, we then know the line integral depends only on the values of [tex]f(x,y)[/tex] at the endpoints of the path. Therefore

[tex]\displaystyle\int_{\mathcal C}\mathbf f\cdot\mathrm d\mathbf r=f\left(3,\frac13\right)-f(1,1)=11-5=6[/tex]

Final answer:

Find the function f whose gradient is equal to the vector function f, then evaluate the line integral of f along the given hyperbolic arc from (1,1) to (3,1/3). This involves calculus and the concept of vector fields.

Explanation:

This problem involves calculus, specifically the concept of vector fields and line integrals. First, we are asked to find a function f(x, y) such that its gradient is equal to a given vector function f(x, y). To find this scalar function, we need to perform the integral of each component of the vector function f in terms of x and y.

Then we need to evaluate the line integral of the vector function f along a curve c, which is given as an arc of the hyperbola y = 1/x. The definite integral from point (1,1) to point (3,1/3) should be calculated. This integral represents the work done by the field f along the curve c.

Keep in mind that when you perform a line integral, you are adding up the contributions of a field (in this case, the vector field f) along a path (here, the hyperbola). Therefore, the path must be parameterized, and the limits of integration should be the parameter values that correspond to the points (1, 1) and (3, 1/3).

Learn more about Line Integral here:

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find the midpoint of the line segment with the given endpoint (7,4) (9,-1)

Answers

Midpoint = [tex]( \frac{X2-X1}{2} , \frac{Y2-Y1}{2} )[/tex]

So plug into that.

You get (9 - 7)/2 , (- 1 - 4)/2

Which gives you 2/2 , - 5/2

This simplifies to the ordered pair (2, - 5/2)

Answer:

(8, 1.5)

Step-by-step explanation:

From a group of 3 men and 4 women, a delegation of 2 is selected. let x be the random variable that represents the number of women selected. write the probability distribution and find the expected number of women in the delegation?

Answers

Let random variable x be the delegated number of men.
x values are 0, 1, 2, 3
The corresponding probabilities are:
P(x=0)= 3C2/7C2=3/21
P(X=1)=3C1*4C1/7C2=12/21
P(X=2)=3C2/7C2=3/21
P(X=3)=3C2/7C2=3/21

Hence the expected value will be:
E(x)=[0*3+1*12+2*3+3*3]/21
E(x)=27/21=1.29

What is the ratio (fraction) of minivans to all vehicles on the forecourt?
A)1/120
B)1/20
C)1/6
D)1/4

Answers

there is a total of 120 and 20 minivans so
20/120
1/6
I hope this helps

do u do keystone

? im just wondering i do

a number cube is labeled 1 to 6 Find each probability write each answer as a fraction , a decimal, and percent P(2)

Answers

P(1) = 1/6 = 0.166666 = 16.7%
P(2) = 1/6 = 0.166666 = 16.7%
P(3) = 1/6 = 0.166666 = 16.7%
P(4) = 1/6 = 0.166666 = 16.7%
P(5) = the same as the 4 above.
P(6) = the same thing as those numbered P(1) to P(4)

You might wonder how I got the %

any decimal expressed as a percent means multiply the decimal by 100.

0.1666666 * 100 = 16.66666 % which I rounded to 16.7%

In which type of investment do you lend your money to a government agency or a corporation for a fixed period of time and earn interest?
a) bonds
b) stocks
c) mutual funds

Answers

Answer: a. Bonds

Step-by-step explanation:

Bond is a kind of money investment issued by private corporations or government banks.

Buying a bond is like issuing a loan to the issuer. The issuer will pay back the face value of the issued loan along with interest money. It is issued for a fixed period of time.

Answer:

a) bonds

Step-by-step explanation:

was right

Which answer shows a correct order to solve this story problem? Maurine had to pay $2.52 tax on her purchases. She bought 3 books for $12.99 each, 2 pens for $0.69 each, and a magazine for $2.99. How much did Maureen spend? A. Step 1: Add the price of a book and a pen. Step 2: Multiply by 3 and then by 2. Step 3: Add $2.99 to that result. Step 4: Add the tax to the total of the purchases. B. Step 1: Calculate the total price of the 2 pens. Step 2: Add $2.99 to that total. Step 3: Calculate the total price of the 3 books. Step 4: Add the tax to the price of the 3 books C. Step 1: Calculate the total price of the 3 books. Step 2: Calculate the total price of the 2 pens. Step 3: Add $2.99 to the total of the cost of the books and pens. Step 4: Add the tax to the total of the purchases. D. Step 1: Add $2.99 to the amount of the tax. Step 2: Calculate the total price of the 2 pens. Step 3: Calculate the total price of the 3 books. Step 4: Add the prices of the pens to the price of the books.

Answers

The usual choice would be
C. Step 1: find the price of the books; Step 2: find the price of the pens; Step 3: add the prices of the books, pens, and magazine; Step 4: add the tax.

_____
You can, of course, find and add the constituent prices in any order. Generally, you need to know that subtotal in order to figure the tax, which is then added to that subtotal. If you've ever done any shopping at a store where bills are added manually, or if you pay attention to any cash register receipt, you know this is the process.

1/2
of the children within the city limits have a dog,
1/3
have a cat, and
1/6
have a dog and a cat. What fraction of those who have a dog also have a cat?

Answers

It is 1/6 because it says that in the problem that "1/6 people have a dog and a cat" and it is asking "What fraction of those who have a dog also have a cat?" It says the answer in the problem

Answer: The fraction of the children who have a dog also have a cat is [tex]\dfrac{1}{3}.[/tex]

Step-by-step explanation: Given that [tex]\frac{1}{2}[/tex] of the children within the city limits have a dog, [tex]\frac{1}{3}[/tex] have a cat, and [tex]\frac{1}{6}[/tex] have a dog and a cat.

We are to find the fraction of those children who have a dog also have a cat.

Let, S denote the sample space of the given experiment.

Then, n(S) = 1.

Let, event A and event B represents the fractions of children having a dog and a cat respectively.

Then, according to the given information, we have

[tex]n(A)=\dfrac{1}{2},~~~n(B)=\dfrac{1}{3},~~~n(A\cap B)=\dfrac{1}{6}.[/tex]

The fraction of children who have a dog also have a cat is given by the conditional probability of event B given A.

That is, he required probability is

[tex]P(B/A)=\dfrac{P(B\cap A)}{P(A)}=\dfrac{\frac{1}{6}}{\frac{1}{2}}=\dfrac{1}{3}.[/tex]

Thus, the fraction of the children who have a dog also have a cat is [tex]\dfrac{1}{3}.[/tex]

what is the value of x sin x + 11 degrees equals cos 2x + 22 degrees enter your answer in the Box

Answers

In geometry, if the angles have the same values of sine and cosine, it implies that the angles are complementary which further means that the sum of their measures should be 90°. With the given expressions for the angles above,

(x + 11) + (2x + 22) = 90

Simplifying,

3x + 33 = 90

Further simplification,
3x = 90 - 33 = 57

The value of x from the equation is 19.

Answer: x = 19

Answer:

it is 19

Step-by-step explanation:

I just took this test and got 100 :)

Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compound quarterly

Answers

Answer:

A = $35,198.32

Step-by-step explanation:

Use the formula to calculate compound interest:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can combine the formulas into:

[tex]A = P(1+\frac{r}{c})^{tc}[/tex]

"c" is the compounding periods in a year. (quarterly = 4)

We know:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

Substitute the information in the formula.

[tex]A = P(1+\frac{r}{c})^{tc}[/tex]

[tex]A = 8000(1+\frac{0.1}{4})^{15*4}[/tex] Solve "i" and "n"

[tex]A = 8000(1+0.025)^{60}[/tex] Solve inside the brackets

[tex]A = 8000(1.025)^{60}[/tex] Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

Final answer:

Anisha will have approximately $25,266.57 after 15 years of compound interest at a rate of 10% compounded quarterly on her initial investment of $8,000.

Explanation:

Anisha invested $8,000 in an account that earns 10% interest compounded quarterly. To calculate the amount of money she will have in 15 years, we can use the formula for compound interest:

Amount = Principal * (1 + (Rate / Frequency))^(Frequency * Time)

Amount = $8,000 * (1 + (0.10 / 4))^(4 * 15)

Amount = $8,000 * (1 + 0.025)^60

Amount = $8,000 * (1.025)^60

Using a calculator, we find that the amount of money Anisha will have after 15 years is approximately $25,266.57

A line passes through the ordered pairs (4,1) and (2,8). What is the slope? Please help due today

Answers

[tex]\bf \begin{array}{ccccccccc} &&x_1&&y_1&&x_2&&y_2\\ % (a,b) &&(~ 4 &,& 1~) % (c,d) &&(~ 2 &,& 8~) \end{array} \\\\\\ % slope = m slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{8-1}{2-4}\implies \cfrac{7}{-2}\implies -\cfrac{7}{2}[/tex]

A lunch in a fancy restaurant is three times as expensive as a lunch in a cafeeria. The lunch in the fancy restaurant costs 36. In five day workweek Mary eats at the fancy restaurant once and in the cafeteria the rest of the days. How much does she spend on lunches in that week

Answers

In this item, we first solve for the cost of eating in a cafeteria. From the given it is stated that the cost of eating in a fancy restaurant is 3 times the cost of eating in cafeteria. Mathematically,

3x = 36

where x is the cost of eating in cafeteria.

The value of x from the equation is 12.

In a five-day workweek, she eats at the fancy restaurant once and four times in cafeteria. To determine the total cost,

T = 4(12) + 36

T = 84

Thus, the answer to this item is 84.

let:

f = fancy restaurant price
c = cafeteria price

f = 3c

f = 36
c = 36/3 = 12

36 + 12*4 = 84

she spends 84 on lunches for a fiveday workweek

Other Questions

I really need help with these questions:Use basic identities to find the simplified expression-1. (cos^2 x + sin^2 x) / (cot^2 x - csc^2 x)2. cosine ^2 / sine ^2 + csc sin Explanations would be greatly appreciated Which is least expensive per oz rounded to the nearest cent: 20 oz for $1.79 or 2 lb 2 oz for $2.59?A.) 20 ozB.) 2 lb 2 ozC.) Neither In Animal Farm, how do the animals now feel about their social order and their farm? Which calculation will always give a result greater than 1 What basic ideas did most of the protestant reformers share? A footbridge is in the shape of an arc of a circle. the bridge is 10 ft tall and 27 ft long, horizontally. what is the radius of the circle that contains the bridge? round your answer to the nearest tenth. When you have good ________, you are able to flex, extend, and rotate your spine. core endurance muscular flexibility muscular control core strength if you were trying to reduce the cost of college which of the following strategies is likely to save the most money A half cylinder lies on its side. What is the exact volume of the half cylinder?150 in3300 in3450 in3600 in3 Which two sentences in this excerpt from Sir Walter Scott's Ivanhoe indicate that the novel is a work of historical fiction? Law vs theory compare and contrast please really need help !!! Which substance traps pathogens and prevents them from entering the deeper tissue of the body? tears Calculate the number of moles of magnesium, chlorine, and oxygen atoms in 7.80 moles of magnesium perchlorate, Mg(ClO4)2. How did the creation of super pacs influence u.s. election campaigns beginning in 2010? Find the wavelength of a wave traveling at 3.26 e6 m/s with a period of 0.0125 s. Middle and late childhood is often characterized by illness and disease, particularly when compared to adulthood. True False The narrator suffers from catalepsy, a physical condition in which the individual cannot move or speak for hours or, in extreme cases, for months. According to the narrators explanation, what are some of the ways that one can tell a cataleptic is still living? Edgar Allan Poes The Premature Burial, average of 1.99 3.29 2.45 What is speed?A. Distance (miles or meters)B. Time (hours or seconds)C. Time per distance (hours per mile or seconds per meter)D. Distance per time (miles per hour or meters per second) Neither of Josie's parents play a musical instrument. Josie thinks that she won't be able to play an instrument because her parents can't. Is she right? Why or why not?