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Ierofanga [76]
3 years ago
11

Which characteristics do the functions have in common?

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

Range, Maximum, and y-intercept

Step-by-step explanation:

Range is the y-values of the function. Each of these functions has a range of (-inf, 10].

The maximum is the largest y-value that is part of the range, which is 10 for both functions.

y-intercept is where the function crosses the y-axis which is 10 for both functions.

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Select the statement that describes this expression: 1/2 x (734 − 246).
Furkat [3]

Answer:

The value of given expression is 244.

Step-by-step explanation:

The given expression is \dfrac{1}{2}\times (734 - 246).

We need to simply the above expression.

First of all, we will subtract 246 from 734. By doing so, we get 488.

Now, we can divide 488 by 2.

As a result we get 244.

So, the value of given expression is 244.

6 0
3 years ago
These are the first sentences in the short story, "The Gift of the Magi," by O. Henry:
Aleonysh [2.5K]

I think the answer to this is: 25q + 10d + 5n + 60 = 87

The story says that you have 1 dollar and 87 cents; 60 cents of which is pennies. So, if you’re using an equation involving quarters, dimes and nickels, the total equation should equal to 87 cents (since that dollar bill could not be broken down to cents). 

5 0
2 years ago
Read 2 more answers
PLEEEEEEEEEASE HEEEEEEEEELP
morpeh [17]

Answer:

distance island dock to Dock A = 4.99 km

distance island dock to Dock K = 6.35 km

Step-by-step explanation:

Always make a scetch to visualize the situation.

You need to construct two triangle both with a streight angle, so you can use Pythagoras to calculate the unknown distances between the island dock L, and each of the other two docks A an K.

I chose to introduce an extra letter, the letter C. In total you have the letters A K L and the letter C.

The letter C has a streight angle of 90° between ACL and it has the same streight angle of 90° with KCL. It is crucial that you see that the distance of LC is exactly the same in triangle LAC and that LC has exactly the same distance in the other triangleLKC.

The distance between AK = 2.3 km.

I define the distance between K and point C as 2.3 + x, because the distance x is unknown.

KC = 2.3 + x

Further more, when you make a picture, you can see that the distance between A and point C = x.

From such a picture, it would show clearly, that K is further away in respect to L then point A. From the picture it would be clear that the angle of LKC is smaller then the angle of LAC, so LKC = 45° and LAC = 64°.

Because angle LKC = 45° and we choose C to have an angle of 90°, the TRIANGLE LKC must be a special triangle... In any triangle, the sum of the three angles together, must add up to 180° .

If that is true, then we have 45 + 90 + 45 (because that adds up to 180). Now that means triangle LKC must have two equal sides (because of the same angels of 45° ).

So we know the distance KC = LC and we already defined KC = 2.3 + x.

Now we know enough to solve the problem.

AK = 2.3 km

angle of LKC = 45°

angle of LAC = 64°

AC = x

KC = 2.3 + x

LC = KC

LC = 2.3 + x

Try to calculate the distance x by using tan. After that you can use Pythagoras to find the other distances.

tan(LKC) = ( LC ) / ( KC )

tan(LKC) = ( x+2.3 ) / ( x+2.3 )

That is not helpful. Let's try the other triangle...

tan(LAC) = LC / AC

tan(LAC) = ( x+2.3 ) / x

tan(64) = ( x+2.3 ) / x

Solve the equation which means you try to find the value for x.

x * tan(64) = ( x+2.3 )

tan(64) * x -x = 2.3

tan(64) * x - 1* x = 2.3

Try to get x outside of the braquets...

x* ( tan(64) - 1 ) = 2.3

x* (2.0503038415793 - 1 ) = 2.3

1.0503038415793 * x = 2.3

x = 2.3 / 1.0503038415793

x = 2.19

Now use Pythagoras a² + b² = c² in triangle LAC to find distance LA.

LA² = AC² + LC²

AC = x = 2.19

LC = 2.3 + x = 4.39

LA² = 2.19² + 4.39²

LA = SQRT( 4.79 + 20.16 )

LA = SQRT( 24.95 )

LA = 4.99 km

Now use Pythagoras a² + b² = c² in triangle LKC to find distance LK.

LK² = KC² + LC²

KC = 2.3 + x = 4.39

LC = 2.3 + x = 4.39

LK² = 4.39² + 4.39²

LK = SQRT( 20.16 + 20.16 )

LK = SQRT( 40.32 )

LK = 6.35 km

7 0
3 years ago
Solve a,b,c,d and e.​
Westkost [7]

Answer:

Step-by-step explanation:

a)

 428721

Place of 2's 10s and 10,000s

Therefore its value is 20 and 20,000

Product of the place value = 20 x 20,000 = 4,00,000

b)

37,20,861

Place of 7 is 1,00,000

Therefore the place value is 7,00,000

c)

Greatest 7 digit number is 99,99,999

Adding 1 to it = 99,99,999 + 1 = 1,00,00,000

d)

85642 = 80000 + 5000 + 600 + 40 +2

e)

round off 85642  to nearest thousand = 86,000

7 0
2 years ago
Follow up question how do you do it when it's e^4?
lesya [120]
Ln 54.598... = 4 because ln = log e
5 0
2 years ago
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