What is the length of side EF in the triangle? Please give a step by step explanation, I'm having lots of trouble finding the solution. Thank you!

Answer:X>-2

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don’t contain the variable.

Answer: = 4x − 5x − 1 Hope this helped

Step-by-step explanation:

Answer:

-10 gal/h

Step-by-step explanation:

   Rate of change for the number of gallons of fuel remaining and the number of hours the truck has driven is (-10) gallons per hour.

 Option (2) will be be the answer.

  Average rate of change of a function is given by the expression,

Average rate of change = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table given,

Two points are (0, 200) and (2.5, 175),

Average rate of change = [tex]\frac{175-200}{2.5-0}[/tex]

                                        = [tex]-\frac{25}{2.5}[/tex]

                                        = -10 gallons per hour

  Therefore, average rate of change for the given table will be Option 2. (-10) gallons per hour.                  

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Answer:

50 was the bill thanks so much for improving my knowledge

Answer:

-3g + 3

Step-by-step explanation:

-9g + 6g + 3

combine like terms

-3g + 3

Hope this Helps!!!

Answer:

-3g + 3

Step-by-step explanation:

This would be the answer because if we add 6g to -9g then we would have -3g since 3  and 3 are not like terms then we can just add them like this -3g+3

Given:

A line segment is between the points (1,-2) and (-2,10).​

To find:

The gradient of the given line segment.

Solution:

We know that gradient of the given line segment means slope of the line segment.

The line segment between the points (1,-2) and (-2,10).​ So, slope of the line segment is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{10-(-2)}{-2-1}[/tex]

[tex]m=\dfrac{10+2}{-3}[/tex]

[tex]m=\dfrac{12}{-3}[/tex]

[tex]m=-4[/tex]

Therefore, the gradient of the given line segment is -4.

Answer:

Step-by-step explanation:

hope it helps

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Answer:

Find the exact value of tan 45º = 1/1 = 1.

Find the exact value of cos 30º = √3/2.

Find the exact value of csc 60º = 2√(3)/3

Step-by-step explanation:

math

Answer:

divide

Step-by-step explanation:

divide

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

Answer:

its A.multiply

Step-by-step explanation:

if you cannot divide than you cannot multiply

Answer:

Meredith runs 90 meters in 1 min

Step-by-step explanation:

The information says that she runs at a rate of 90 meters per minute.

90 meters in 1 min

180 meters in 2 min

Answer:

Jamarcus is the better shooter

Step-by-step explanation:

Jamarcus is better because he needs 10 more shots to reach 25 while tyrell needs 18 More shots to make 50

Answer:

Tyrell

Step-by-step explanation

Well this is simple you take Jamarcus shots made and divide it into the total shots which is 15/25=0.6 or 60%. So Jamarcus made 60% of the shots attempted. Tyrell made 32 out of 50 shots so that will be 32/50=0.64 or 64%. Since 64%>60% Tyrell is the better shooter

Answer:

 [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Step-by-step explanation:

Explanation

Given function f(r) = r² log r  ....(i)

Apply derivatives formula

              [tex]\frac{d}{dx} UV = U^{l} V + V^{l} U[/tex]

             [tex]\frac{d}{dx}x^{n} = nx^{n-1}[/tex]

            [tex]\frac{d}{dx}log x = \frac{1}{x}[/tex]

Differentiating equation (i) with respective to 'r' , we get

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )\frac{d}{dr} (\frac{1}{r } )+ log(\frac{1}{r} ) 2 r[/tex]

                [tex]\frac{df}{dr} = r^{2} (\frac{1}{\frac{1}{r} } )(\frac{-1}{r^{2} } )+ log(\frac{1}{r} ) 2 r[/tex]

Final answer:-                

               [tex]\frac{df}{dr} = (-r) + log(\frac{1}{r} )( 2 r)[/tex]

Answer:

Farmer Bill sold 120 lb of potatoes

Step-by-step explanation:

Suppose farmer Bill had x lb of potatoes. He sold a quarter to the first person. A quarter is written as (1/4)x. After that, Bill had x-(1/4)x = (3/4)x.

Then he sold 4/9 of what was left to the second person, thus it was left 1-4/9=5/9 of the remaining potatoes. Multiplying both factors:

[tex]\frac{5}{9}*\frac{3}{4}x=\frac{5}{12}x[/tex]

This is the remaining portion of the potatoes.

Finally, he sold 4/5 of it and the last 10 lb. This means 1 - 4/5 = 1/5 of the remaining is equivalent to 10 lb:

[tex]\frac{1}{5}*\frac{5}{12}x=\frac{1}{12}x[/tex]

Thus:

[tex]\frac{1}{12}x=10[/tex]

x = 120 lb

Farmer Bill sold 120 lb of potatoes

The Farmer will sold 120 lb of potatoes.

Let us consider that farmer have x lb of potatoes.

He sold a quarter to the first person, that is  [tex]\frac{x}{4}[/tex]

Potatoes left,[tex]=x-\frac{x}{4} =\frac{3x}{4}[/tex]

4/9 of what was left to the second person,

 Potatoes sell to second person is, [tex]\frac{3x}{4} *\frac{4}{9} =\frac{x}{3}[/tex]

the third buyer bought 4/5 of what was left

       that is,          [tex]\frac{4}{5}*(\frac{3x}{4} -\frac{x}{3} ) =\frac{x}{3}[/tex]

Potatoes left [tex]=\frac{5x}{12} -\frac{x}{3} =\frac{x}{12}[/tex]

Since, Potatoes left = 10 lb

So,   [tex]\frac{x}{12} =10\\\\x=12*10=120[/tex]

Thus, The Farmer will sold 120 lb of potatoes.

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Answer:

s inversely proportional 1/t

s=0.3, t=8

s=k/t

0.3=k/8

k=0.3×8

k=2.4

find s when t=0.4

s=2.4/0.4

s=6.0 or 6

Answer:

x = 1

y = 2

Step-by-step explanation:

x=1 and y=2.

step 1 ,

2^2x*3^y=36

3^y= 36/2^2x ———- equal 1

step 2,

put the value of 3^y in 2^x*3^y = 18 (equal 1)

WHEN BASES ARE SAME POWERS ARE SUBTRACTED IN CASE OF DIVISION.

Therefore, 2^x-2^2x= 1/2

2^-x= 1/2

(1/2)^x = 1/2

COMPARING THE POWERS BECAUSE THE BASE IS SAME.

x=1.

Now, putting the value of x=1 in 2^x*3^y = 18

y=2.

Answer:

$4,900,000

Step-by-step explanation:

29,400,000 / 6 = 4,900,000

each school will receive 4.9 million

29.4million divided by 6=4.9 million

Answer:

y=2x-2

I hope this helps:

Answer:

no, three one way tickets are cheaper by 0.40 cents

Step-by-step explanation:

A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?

My explanation; 1.60+1.60= 3.20+1.60=4.80. so three one way trips will equal out to be 4.80, while a day pass is 5.20.

Answer:

7/2

Step-by-step explanation:

Step 1

Multiply the denominator by the whole number

2 × 3 = 6

Step 2

Add the answer from Step 1 to the numerator

6 + 1 = 7

Step 3

Write answer from Step 2 over the denominator

7/2

the improper fraction form of 3 1/2 is 7/2.

To convert the mixed number 3 1/2 to an improper fraction, we first multiply the whole number (3) by the denominator (2) and add the numerator (1). This gives us 3 * 2 + 1 = 7 as the new numerator. The denominator remains the same, which is 2. So, the improper fraction form of 3 1/2 is 7/2.

In this fraction, the numerator (7) represents the total number of parts we have, while the denominator (2) represents the size of each part. Therefore, 3 1/2 is equivalent to the improper fraction 7/2.

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Answer:

oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.

Answer:

The common difference d is d = -3

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Step-by-step explanation:

We need to find the common difference and the recursive formula.

a. 22, 19, 16, 13, …

First we will find common difference

The formula of arithmetic sequence is: [tex]a_n=a_1+(n-1)d[/tex]

where a_n is nth term, a_1 is 1st term and d is the difference

Looking at the sequence we get: a_1=22, a_2=19

Using these values we can find d, the common difference

[tex]a_n=a_1+(n-1)d\\put\:n=2, a_2=19, a_1=22\\19=22+(2-1)d\\19=22+d\\d=19-22\\d=-3[/tex]

So, the common difference d is d = -3

Now, we will find the recursive formula:

The recursive formula is of type: [tex]a_n=a_{n-1}+d[/tex]

We have found common difference d = -3

So, the recursive formula will be:

[tex]a_n=a_{n-1}+d\\a_n=a_{n-1}+(-3)\\a_n=a_{n-1}-3[/tex]

The recursive formula is: [tex]\mathbf{a_n=a_{n-1}-3}[/tex]

Answer:

The length of the rectangle is 31.

Step-by-step explanation:

We have that the length (L) and width (W) are:

[tex] L = 3x + 7 [/tex]

[tex] W = 2x [/tex]

The perimeter of the rectangle is given by:

[tex] P = 2W + 2L [/tex]

[tex] 94 = 2(2x + 3x + 7) [/tex]

[tex] 94 = 10x + 14 [/tex]

[tex] x = 8 [/tex]

Now, we can calculate the length of the rectangle:

[tex] L = 3x + 7 = 3*8 + 7 = 31 [/tex]        

Therefore, the length of the rectangle is 31 units.

I hope it helps you!                

Answer:

x²/4 + y²/16 = 1

Step-by-step explanation:

Foci on the y axis: major axis parallel to y axis

x²/b² + y²/a² = 1

x²/4 + y²/16 = 1

The required equation of an ellipse is given by x²/4 + y²/16 = 1

Given that,
Length of the major axis: 4 Length of the minor axis: 2 Foci are on the y-axis with center (0,0)​, the equation of the ellipse is to be determined.0

Ellipse is defined as the cross-section of the cone when cutting it with a plane parallel to its base.

Here,
Standard equation of the ellipse with origin as the center,
x²/a² + y²/b² = 1
where a and b are the minor and major axis of the ellipse.
From the given, we have a = 2 and b = 4
So the equation of the ellipse,
x²/4 + y²/16 = 1

Thus, the required equation of an ellipse is given by x²/4 + y²/16 = 1.

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Answer: C I think

Step-by-step explanation:

The scale factor of the drawing is 200.

The first step to take when looking for the scale factor of a drawing is to ensure both measurements are on the same unit.

Given a scale for a drawing to be:  1 mm: 20 cm

1 cm = 10 m

Therefore:

20 cm = 200 mm

Scale factor = 200/1 = 200.

Therefore, the scale factor of the drawing is 200.

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