Image attached please solve!

[tex]~~~~~7e^{xy} +2x^2 -4y^2 =13\\\\\\\implies \dfrac{d}{dx}\left(7e^{xy} +2x^2 -4y^2\right) =\dfrac d{dx} (13)\\\\\\\implies 7\left[e^{xy} \dfrac{d}{dx} ( xy)\right] +2 \cdot 2x -4\cdot 2y \dfrac{dy}{dx} = 0\\\\\\\implies 7e^{xy} \left( x \dfrac{dy}{dx} +y\right) +4x -8y \dfrac{dy}{dx} =0\\\\\\\implies 7xe^{xy}\dfrac{dy}{dx} + 7ye^{xy} +4x -8y\dfrac{dy}{dx} = 0\\\\\\\implies \left(7xe^{xy} -8y \right) \dfrac{dy}{dx}=-7ye^{xy} -4x\\\\\\[/tex]

[tex]\implies \dfrac{dy}{dx} = \dfrac{-7ye^{xy} -4x}{7xe^{xy} -8y }[/tex]

Answer:

56

Step-by-step explanation:

All You Need To Do Is Count intill You Reach That Point

Answer:

The work is straight forward once you know the formular

Answer:

Step-by-step explanation:

Beth's position over time is constant, which makes the problem a lot easier. You are asked for the rate of position versus time, so begin by doing that. Since the rate is constant, clearly from the table, you can take any two data points and take their ratio. Her rate would be 11 feet every 5 seconds, or equivalently 2.2 feet every second. To graph the data, put position on the x-axis and time on the y-axis. The slope will be 2.2 at every point along her bike ride.

Moving on to the third part. If Amy traveled at a rate of 75 feet every 30 seconds, then she would be traveling 2.5 feet every second. Amy's rate is larger than Beth's rate. Since the rate corresponds to the slope of the postion vs. time graph, Amy's graph will have a steeper incline since the slope is 2.5

Answer:

answer = 3(a +b)

Step-by-step explanation:

[tex] log(2) = a \: log(3) = b \: \: \\ log(216) = log(2 \times 2 \times 2 \times 3 \times 3 \times 3) \\ = log( {2}^{3} \times {3}^{3} ) \\ = log(2^{3} ) + log( {3}^{3} ) \\ = 3 log(2) + 3 log(3) \\ = 3(a) + 3(b) \\ = 3(a + b) \\ \\ log(216) = 3(a + b)[/tex]

Answer:

Step-by-step explanation:

This is a permutation of 6 out of 8

Use formula

Find the number of starting positions

Answer:

Step-by-step explanation:

Vertically opposite angles are congruent.

-2x - 6 = 40

Add 6 to both sides

-2x = 40 + 6

-2x = 46

Divde both sides by (-2)

x = 46/(-2)

x = -23

Answer:

60%

Step-by-step explanation:

If you look through the data, it is clear that 46, 59, 63, 68, 72, 76, 78, 85, and 89 are all less than 90. There are 9 elements total that are less than 90.

For percentages, you take the number you have and divide by the total. Since we know that there are 15 students, we can do 9 / 15. This gives us 0.6 which is 60%

Answer:

No.

Step-by-step explanation:

A arithmetic sequence is a sequence of numbers that go up by the same value each time. We can clearly see that this set of numbers does not go up by the same value each time, therefore ruling it out as an arithmetic sequence. This sequence is a geometric sequence in case you're wondering.

x = 10

hope it helps...!!!

The square root of 25 is 5. It is the positive solution of the equation x2 = 25. The number 25 is a perfect square.

...

Square Root of 25 in radical form: √25.

Answer:

25

Step-by-step explanation:

We take both medians and subtract.

53-28=25

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot. The weight of the tabletop, in pounds, is 1032.

The volume of the rectangular tabletop is the product of the length, breadth, and height of the given tabletop.

Volume of rectangular tabletop= (length x width x height)

The tabletop will have a length of eight feet, a width of three feet, and a thickness of one inch.

Volume of rectangular tabletop= (length x width x height)

                                                 = [tex]8 \times 3 \times 1\\\\24[/tex]

A rectangular tabletop will be made of maple wood that weighs 43 pounds per cubic foot.

The weight of the tabletop, in pounds = 43 x 24

                                                              = 1032 pounds

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By taking a subtraction, we will see that the change that Kate receives is $1.08

The change will be given by the difference between what Kate has, and the cost of all the items she buys.

She has $20.00, and the costs are: $6.99, $3.98, and $7.95.

Then the change will be:

C = $20.00 - $6.99 -  $3.98 - $7.95 = $1.08

We conclude that the change is $1.08

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Answer:

1,398

Step-by-step explanation:

i think this is it cause this is very close. Have a nice day.

One way we can organize a linear equation is in standard form:

[tex]Ax+By=C[/tex]

Another way we can organize a linear equation is in point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

We're given:

We only need the point-slope form equation to find the stand form of the equation for this line. All we have to do is rearrange the numbers to get them in the right places.

[tex]y+7=-\dfrac{5}{2}(x-10)[/tex]

⇒ First, multiply both sides by 2 to get rid of the fraction:

[tex]2y+14=-5(x-10)[/tex]

⇒ Now, open up the parentheses:

[tex]2y+14=-5x+50[/tex]

⇒ Move -5x to the other side:

[tex]5x+2y+14=50[/tex]

⇒ Move 14 to the other side:

[tex]5x+2y=50-14[/tex]

⇒ Combine like terms:

[tex]5x+2y=36[/tex]

[tex]5x+2y=36[/tex]

Answer:

it's got to be 3........

Answer:

-2x^2 -2x + 4

Step-by-step explanation:

Distributive prop.

(-2x-4)(x-1)

-2x^2 + 2x - 4x + 4

-2x^2 -2x + 4

Answer:

2

Step-by-step explanation:

since you have 84/42, and you are supposed to convert the improper fraction to a mixed number, the easiest place to start is to divide the two numbers and find the remainder. In this case, however, there is no remainder, as 84 divided by 42 is exactly 2. Therefore, the most simplified fraction would be 2 (although it does not look like a fraction the most simplified form of the fraction is 2/1 --> which is just 2). Hope this helps!

Anna has traveled 20 miles in the taxi.

An equation is a relationship between the variables and constants representing how they are related to each other. It includes equal to "=" sign.

The total amount paid is $48. So, the right side of the equation will be 48.

The cost of 1 mile is $2.25 so, the cost of x miles will be 2.25x.

Determine the total cost in terms of x.

Total cost = Fixed Cost+ Variable cost

= 3+2.25x

Determine the equation and solve it.

3+2.25x=48

2.25x=45

x=20

Thus, the taxi has traveled 20 miles.

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Answer:

B. The value of C is 1

Step-by-step explanation:

Given:

[tex]\displaystyle \large{y=2x+C}\\\displaystyle \large{y^2=8x}[/tex]

To find:

A line being a tangent to curve means both equations are equal but there has to be only one interception between both graphs.

Therefore, substitute y = 2x+C in y² = 8x:

[tex]\displaystyle \large{(2x+C)^2 =8x}[/tex]

Expand the expression (2x+C)² using perfect square:

[tex]\displaystyle \large{4x^2+4xC+C^2=8x}[/tex]

Simplify the equation:

[tex]\displaystyle \large{4x^2+4xC-8x+C^2=0}\\\displaystyle \large{4x^2+(4C-8)x+C^2=0}[/tex]

The discriminant says:

For this, we choose b²-4ac = 0 since tangents only have one intersection.

[tex]\displaystyle \large{b^2-4ac = (4C-8)^2-4(4)C^2 = 0}\\\displaystyle \large{16C^2-64C+64-16C^2=0}\\\displaystyle \large{-64C+64=0}[/tex]

Solve the equation for C:

[tex]\displaystyle \large{-64C=-64}\\\displaystyle \large{C=1}[/tex]

Therefore, the value of C is 1

Answer:

The side is approx 2.78cm

Step-by-step explanation:

There is an area formula for regular polygons that uses the apothem:

A = 1/2•a•s•n

a is the apothem.

s is the side length.

n is the number of sides.

The area, A is given and also the apothem is given, as well as the number of sides.

The shape in your problem is a hexagon, so it has 6 sides.

A = 1/2 asn

20 = 1/2(2.4)s(6)

Multiply.

20 = 7.2s

Divide.

20/7.2 = s

2.78 = s

s = 2.78

Step-by-step explanation:

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Here we go ~

[tex]\qquad \tt \dashrightarrow \: {x}^{2} - 16x = 0[/tex]

[tex]\qquad \tt \dashrightarrow \: x(x - 16) = 0[/tex]

Now, there are two possibilities ~

[tex]\qquad \tt \dashrightarrow \:x = 0[/tex]

or

[tex]\qquad \tt \dashrightarrow \:x - 16 = 0[/tex]

[tex]\qquad \tt \dashrightarrow \:x = 16[/tex]

Answer:

odd

Step-by-step explanation:

take example of 2^3 +3^3 it's odd

now others try yourself

If we were getting 60% discount early and then again we are receiving 20% discount for using credit card then it means that we are getting 80% discount.

Discount means the amount which is deducted by sellers from the amount to be payable by buyers.

Let the total price to be paid by us to store is $100.

Discount received because on purchase on sale day=100*60%

=60

Discount received due to use of credit card=100*20%

=20

Total discount received from store=60+20

=80

Percentage=80/100*100

=80%

Hence the total discount received by us from store is 80%.

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the answer is B.  6 cubic in

Answer:

a is 39

b is 57

Step-by-step explanation:

you were given two different expressions to substitute.

the first one is p = 8 and d = 1/7

so we substitute into 5p - 7d

that is 5(8) - 7(1/7)

we get 40 - 1

which if we go ahead to evaluate we get 39

The second one p = 3 and d = -6

so we get 5(3) - 7(-6)

we get 15 - (-42)

if we go ahead to evaluate we get 15 + 42

two negative meeting each other gives you positive.

then it going too be 57

Answer:

-32 < 15

Step-by-step explanation:

Whenever in the negatives, it's always less than zero. Because 15 is positive, it would be greater than -32.