A rectangular plot of farmland will be bounded on one side by a river and on the other three sides by a single-strand electric fence. With 1500 m of wire at your disposal, what is the largest area you can enclose, and what are its dimensions

Answer:

o.ooo7

Step-by-step explanation:

The square root of 49/10,000 is 0.0007.

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Answer:

2736

Step-by-step explanation:

Selling price=$342.

New price=?

Therefore,the new price=8(Selling price)

8(342)

$2736.00

Answer:

10-5+3×3

Step-by-step explanation:

that what you get when you first work out the division sign

3 of mixed cereal and 2 of tropical fruit

Data:

Long=17ft

Width=18ft

High=9ft

the volume of a rectangular room with the given measurements is calculated using the formula:

Answer:

Step-by-step explanation:

To find the equation of a line that is perpendicular to a given line and passes through a specific point, we need to follow a few steps:

Find the slope of the provided line.

The point-slope form of a line is given by: y - y1 = m(x - x1), where (x1, y1) represents the given point.

Substituting the values, the equation of the perpendicular line becomes:

y - 5 = (-1/m)(x - 2)

Simplifying the equation further, we can rewrite it in point-slope form:

y - 5 = (-1/m)x + (2/m)

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

Since, We know that;

In brains, we want a balance between excitatory and inhibitory signals to maintain proper neural functioning.

This balance is important because too much excitatory signaling can cause overstimulation and potential harm, while too much inhibitory signaling can lead to neural suppression and lack of responsiveness.

Hence, The proper balance between the two types of signals is necessary for healthy neuronal activity, and maintaining that balance is a key aspect of neural health.

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The number of students that bike to school is 18

The median is described as the middle number of a set of data when the values are arranged in an ascending order from the least to the greatest.

We should also know that the median is one of the measures of central tendency.

From the information given, we have that the data set representing the number of students is;

10, 11, 12 , 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25

Then, we have that the median number is;

Median = 17 + 18/2

add the values

Median = 35/2

Divide the values

Median = 18 students

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Answer:

1 gallon 3.99

reason

2  1/2 gallon= 4.58

one   1 gallon = 3.99

better deal if you get the one gallon

Answer:

1. 7.3

2. 33.3

3. 21.3

4. 31.9

5. 25.6

6. 11.0

7. 42°

8. 64°

9. 13°

10. 51°

Step-by-step explanation:

make sure if you're using a math calculator that it is in degree mode.

SIN, COS, OR TAN. SOH CAH TOA. Sin is Opposite/hypotenus.

Cos is Adjacent(next to it)/hypotenus.

Tan is Opposite/Adjacent.

~~

PROBLEM 1:

So we have 63°, 16 as hypotenus, and x as one of the legs.

1. Figure out whether it is Sin, Cos, or Tan. (It's adj and hyp. of the angle degree (63° listed so it's cos.)

2. Once you set it up, it is Cos 63°= x/16 then flip it around. which makes it 16 COS 63= X.

3. Input it into your calculator as 16cos(63, then it will give you.. 7.263847996

4. Don't forget to round to the nearest tenth, which gives you

x = 7.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 2:

Given: 39°, 27 is opposite of the °, and adj is x. So this is Tan.

1. Set it up, Tan 39° = 27/x can't solve this way so fix it.

2. rewritten as X = 27/tan39

3. round ur answer.

x = 33.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 3:

Given: 49°, adj is 14, hyp is x. So this is Cos.

1. Set up according to CAH, Cos 49=(14/x).

We can't solve it this way since the X is on the bottom. So we have to fix it!

2. Turns into X Cos 49 = 14, which then turns into X= 14/cos49.

3. Put it in your calculator as 14 DIVIDED BY cos 49. ( Put image example)

4. Round.

x= 21.3

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 4:

Given: 15°, 33 hyp, adj x. Which is Cos.

1. Cos 15= x/33 and rewrite.

2. Input as 33 cos(15 into calculator = 31.875...

3. Round to tenth.

x = 31.9

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 5:

Given: 52°, 20 adj of °, and x opp of °. Will use TAN.

1. Tan 52° = x/20

2. 20 Tan(52 into calculator

3. Round

x = 25.6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 6:

Given: 27°, opp of ° is 5, hyp is x. Will use Sin.

1. Write out as I have the last few times, Sin 27 = 5/x rewrite cause x can't be at the bottom.

2. Input into calculator as: 5/sin 27 which equals 11.01...

3. Round.

x = 11.0

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 7:

Given: x°, 6 as hyp, 4 opp. now we have to solve this different since we don't know the degree. Now when we input into the calculator you will press 2nd, then sin/cos/tan so it will be negative this is depending on which one ur solving for.

We will be using SIN, x is still a °.

1. Sin X = 4/6 Rewrite.

2. X= Sin^-1 (4/6)

Make sure ur sin is negative in calculator when doing this.

3. It SHOULD give you 41.81, round.

x = 42°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 8:

Given: x°, 29 opp, 14 adj. TAN.

1. Tan x°= 29/14 or..

2. X = Tan^-1(29/14) solve..

3. gives u 64.23.... round.

x = 64°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 9:

Given: x°, hyp 54, opp 12. SIN

1. Sin x°=(12/54)

2. X= Sin^-1(12/54) solve. (dont put x= into calculator.)

3. Don't Forget to round, answer unrounded: 12.839..

x = 13°

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

PROBLEM 10:

Given: x°, adj 25, hyp 40. COS

1. Cos x°=25/40 rewrite.

2. X= Cos^-1(25/40) Solve.

3. Round.

X= 51°

Answer:

We can be 95% confident that the true proportion of voters who will vote for Roberts is between 48% and 60%.

Observe that \(x=0\), \(y=1\) and \(z=0\) are common to 3 of the 4 given points. This tells us that tetrahedron has faces in the planes \(x=0\), \(y=1\), and \(z=0\).

Find the equation of the last plane that closes off the tetrahedron. This plane passes through the points (6, 1, 0), (0, 1, 2), and (0, 4, 0). Find two vectors that run parallel to this plane.

\(\vec v_1 = \langle6,1,0\rangle - \langle0,1,2\rangle = \langle6,0,-2\rangle\)

\(\vec v_2 = \langle6,1,0\rangle - \langle0,4,0\rangle = \langle6,-3,0\rangle\)

Compute their cross product to get a vector that is perpendicular to the plane.

\(\vec n = \vec v_1 \times \vec v_2 = \langle -6, -12, -18\rangle\)

Then using any of the 3 points it contains, we find the equation of the plane to be e.g.

\(\vec n \cdot \langle x-6,y-1,z-0\rangle = 0 \implies x+2y+3z=8\)

Now we can set up the integration region. \(E\) is the set

\(E = \left\{(x,y,z) \mid 1 \le y \le \dfrac{8 - x - 3z}2 \text{ and } 0 \le z \le \dfrac{6 - x}3 \text{ and } 0 \le x \le 6\right\}\)

so that the integral taken in the prescribed order of variables is

\(\displaystyle \iiint_E f(x,y,z) \, dV = \boxed{\int_0^6 \int_0^{(6-x)/3} \int_1^{(8-x-3z)/2} f(x,y,z) \, dy \, dz \, dx}\)

Answer: 64in cubed

Step-by-step explanation:

4x4x4

Answer:

64

Step-by-step explanation:

Volume of a cube-shaped box = a*a*a

4*4*4=64

the graph of Andrew's distance from home will look like this: Time (x-axis)  0  1  2  3  4  5  6  7  8  9  10 Distance (y-axis)  0  5  10 10 15 20 20 24 28 32  0

Graph is a data structure which is used to represent relationships between objects or data points. It is composed of nodes and edges, where nodes are the objects and edges are the connections between the objects. Graphs are used to represent mathematical equations, networks, and data structures such as trees. They are also used to represent relationships between data points in large datasets. Graphs can be used to represent both directed and undirected relationships, and are commonly used in many fields including computer science, engineering, mathematics, and data science.

From the given information, we can create a graph that shows Andrew's distance from home as he drives to the store, to the bank, and back again. The x-axis will represent time (in minutes), and the y-axis will represent the number of blocks away from home.

At time zero, Andrew is at his home, so the graph will begin with a point at (0, 0). As he travels to the store, the graph will move up 5 blocks for every minute he drives. Therefore, after 2 minutes, he will be 10 blocks away from home, so the graph will be at (2, 10). After he stops at the store for 2 minutes, he will still be 10 blocks away from home, so the graph will stay at (2, 10).

When he leaves the store and drives to the bank, he will move 5 blocks each minute. After 5 minutes, he will be 25 blocks away from home, so the graph will be at (5, 25). After he stops at the bank for 3 minutes, he will still be 25 blocks away from home, so the graph will remain at (5, 25).

Finally, when he drives home, he will move 4 blocks for each minute he drives. After 5 more minutes, he will be back at his home, so the graph will be at (10, 0).

Therefore, the graph of Andrew's distance from home will look like this:

Time (x-axis)  0  1  2  3  4  5  6  7  8  9  10

Distance (y-axis)  0  5  10 10 15 20 20 24 28 32  0

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Answer:

Answer to your question ; f(t) = 55 = 4t

Answer:

0.1056 = 10.56% probability that their average salary is more than $77,500.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean \(\mu\) and standard deviation \(\sigma\), the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \(\mu\) and standard deviation \(s = \frac{\sigma}{\sqrt{n}}\).

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Mean $75,000 and standard deviation $8,000.

This means that \(\mu = 75000, \sigma = 8000\)

Sample of 16

This means that \(n = 16, s = \frac{8000}{\sqrt{16}} = 2000\)

What is the probability that their average salary is more than $77,500?

This is 1 subtracted by the pvalue of Z when X = 77500. So

\(Z = \frac{X - \mu}{\sigma}\)

By the Central Limit Theorem

\(Z = \frac{X - \mu}{s}\)

\(Z = \frac{77500 - 75000}{2000}\)

\(Z = 1.25\)

\(Z = 1.25\) has a pvalue of 0.8944

1 - 0.8944 = 0.1056

0.1056 = 10.56% probability that their average salary is more than $77,500.

Answer:

Step-by-step explanation:

Answer to your questions:

Answer:

x=−2

Step-by-step explanation:

−2x+5−5=9−5

−2x=4

-2x/-2 = 4/-2

x=−2

Answer:

what the question

Step-by-step explanation:

can you help me with my question The surface of the Gilded Age was of great prosperity, while the interior was corrupt; the "gilding" or good exterior of the Gilded Age came from which of the following? A. Rebuilding the nation from the left over money from the War B. The technological advancements of the industrial revolution C. The mass movement of people from the country into the cities D. New monuments and buildings built in honor of the war heroes

Based on the information given, we know that the two triangles have two pairs of congruent angles. This is sufficient to prove that the two triangles are congruent using the AAS (Angle-Angle-Side) postulate. Therefore, the method I would use to prove the two triangles congruent is **AAS**.

Answer:

18.2cm

thank you

i think

Answer:

A list of numbers or objects in a special order. Example: 3, 5, 7, 9, ... is a sequence starting at 3 and increasing by 2 each time.

Step-by-step explanation:

Answer:

The correct answer is -2.

Step-by-step explanation:

"z" = 3+2i, which is (3, 2i) on the graph. You must multiply -2 by 3 and 6, which will give you the plot points for z1, (-6, -4i).

A negative number multiplied into a positive number will result in a negative number.

Therefore, -2 is the correct answer.

Answer:

-2

Step-by-step explanation:

just did it

Answer:

Marty has 768 pints of orange juice.

Step-by-step explanation:

To convert gallons to pints, we need to remember that 1 gallon is equal to 128 fluid ounces, and 1 fluid ounce is equal to 1/8 pint.

Given that Marty has 6 gallons of orange juice, we can calculate the total amount in pints as follows:

6 gallons x 128 fluid ounces/gallon x 1/8 pint/fluid ounce = 768 pints

So, Marty has 768 pints of orange juice.

Answer:

11

Step-by-step explanation:

Substitute 3 for b

23 - 4(3)

Multiply 4(3) = 12

23 - 12

Subtract

23 - 12 = 11

Answer:

\(11\)

Step-by-step explanation:

\(b = 3 \\ \\ 23 - 4b \\ 23 + 4 \times 3 \\ 23 - 12 \\ 11\)

hope this helps you

Have a nice day!

Given:

There are given that the first pool contains 1150 liters of water and the second pool contains 1300 liters of water.

Explanation:

Let P1 represent the first pool and P2 represent the second pool and t is represent the time in minutes.

Then,

From the first pool:

And,

From the second pool:

Now,

Equal both of the equations:

And,

The volume of the water in both of pool is:

Final answer:

Hence, there are 24 minutes will the pools have the same amount of water and the volume of the water will be 1882 liters.

Answer:c) (4,3) and (5.-1)

Step-by-step explanation:

The endpoints of the midsegment connecting side YX and side YZ

(4, 3) and (-3/2, 11/2).

The midpoint of a line segment is given as,

x = (a + c)/2

y = (b + d) / 2

Where (x, y) is the midpoint and (a, b) and (c, d) are the two endpoints.

We have,

X = (7, 4)

Y = (1, 2)

Z = (-4, 9)

The midpoint of YX is (4, 3).

i.e

x = (1 + 7)/2 = 4 and y = (2 + 4)/2 = 3

The midpoint of YZ is (-3/2, 11/2).

i.e

x = (-4 + 1)/2 = -3/2 and y = (9 + 2)/2 = 11/2

Thus,

The endpoints of the midsegments are

(4, 3) and (-3/2, 11/2).

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Answer:

193.8125

Step-by-step explanation:

193.8125

=

193 Remainder 13

193.8125 / simplified as 194

3,101 ÷ 16 = 193.8125

193.8125 reduced

-

194