The Smiths are sending out a batch of holiday cards. Emily signed 2/5 of the cards. Then Josh signed 1/9 of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed?

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

Each element of X is given precisely one element of Y by the function from a set X to a set Y. The sets X and Y are collectively referred to as the function's domain and codomain, respectively. Initially, functions represented the idealised relationship between two changing quantities.

We have given function as ,

f(x) = 1/√(x-4)

We have to find f(x) - f(5)/x-5

f(x) = f(5)/x-5 = 1/√(5-4)/(x-5)

= 1/√(5-4)/(x-5)

= (x-5)/√(5-4)

= (x-5)

Therefore, The function at the given value of the independent variable, f(x) = 1/√(x-4)f(x) - f(5) / x - 5 is (x-5).

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If the length of the rectangle be (3x+2) units and width (4x+10)units then the area of the rectangle be \($x=-\frac{2}{3}, x=-\frac{5}{2}$$\).

The region enclosed by an object's shape is referred to as the area. The area of the shape is the area that the figure or any other two-dimensional geometric shape occupies in a plane.

A rectangle's sides determine its area. In essence, the length and breadth of the rectangle multiplied together gives the area of the rectangle.

Let the length of the rectangle be (3x + 2) units and width of the rectangle be (4x + 10)units.

Area of rectangle = length × breadth

= (3x +2) × (4x +10)

simplifying the above equation, we get

= (3x) × (4x +10) + 2(4x +10)

= 12x² + 30x +8x +20

12x² + 38x + 20 = 0

simplifying the above equation, we get

By using quadratic equation, then

\($x_{1,2}=\frac{-38 \pm \sqrt{38^2-4 \cdot 12 \cdot 20}}{2 \cdot 12}$$\)

simplifying the above equation, we get

\($$\begin{gathered}x_{1,2}=\frac{-38 \pm 22}{2 \cdot 12}\end{gathered}$$\)

Separate the solutions, we get

\($$\begin{aligned}& x_1=\frac{-38+22}{2 \cdot 12}, x_2=\frac{-38-22}{2 \cdot 12} \\& x=\frac{-38+22}{2 \cdot 12}:-\frac{2}{3} \\& x=\frac{-38-22}{2 \cdot 12}:-\frac{5}{2}\end{aligned}$$\)

The solutions to the quadratic equation are:

\($x=-\frac{2}{3}, x=-\frac{5}{2}$$\)

The complete question is:

Find the area of rectangle with length (3x+2) units and width (4x+10)units.

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Answer:

 5 8 as decimal is: 0.625

Step-by-step explanation:

What is 5/8 as a decimal?

To write 5/8 as a decimal you have to divide numerator by the denominator of the fraction.

We divide now 5 by 8 what we write down as 5/8 and we get 0.625

And finally we have:

5/8 as a decimal equals 0.625

The limit of the function As x → - ∞, f(x) → 2.

The limit of a function is the value the function tends to as the independent variable tends to a given value.

Given the graph of the function above, to find the limit of the function As x → -∞, f(x) →? We proceed as follows

Looking at the graph, we see that f(x) has a horizontal asymptote at y = 2. Now, we see that As x → -∞, f(x) approaches 2.

So, As x → - ∞, f(x) → 2.

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Answer:

19/8

Step-by-step explanation:

2 3/8 can be converted to an improper fraction by multiplying the whole number (2) by the denominator of the fraction (8), then adding the numerator (3), and placing the result over the denominator:

2 3/8 = (2 x 8 + 3) / 8 = 19/8

So, 2 3/8 is equivalent to the improper fraction 19/8.

Hope this helps!

Answer:

Step-by-step explanation:

Step 1: Simplify each side, if needed.

Step 2: Use Add./Sub. Properties to move the variable term to one side and all other terms to the other side.

Step 3: Use Mult./Div. ...

Step 4: Check your answer.

Answer:

Dear user,

Answer to your query is provided below

Option A is correct

Step-by-step explanation:

3(2m-1)-n

6m-3-n

Answer:

$47.7

Step-by-step explanation:

You first have to find how much of 53 is 10%:  53/10 = 5.3  53-5.3= 47.7

find the numbers conjugate

continue by making the product between both of them

according to this a=5 and b=0

Answer:

7, -14, 7

Step-by-step explanation:

The 1st unknown element is (7)(1)=7.

The 2nd unknown element is (7)(-2) = -14.

The 3rd unknown element is (7)(1) = 7.

C

Step-by-step explanation:

=>2x+27=x

=>2x-x=27

=>x=27

The angles that we have in the image here are:

When two angles are measured, they sum up to 180. They are said to be supplementary angles.

On the question, we have two angles that are 90 degrees on a straight line. Hence they are supplementary.

This is an angle that is at 90 degrees. We have to two right angles on the diagram that we have here.

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For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

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hope it helps..................

Answer:

Draw a dashed line to represent the graph of 5x + 10y = 1500 and shade the portion below the line for positive values of x and y.

Step-by-step explanation:

This is the answer I can confirm that this is true rather than,"WhAt TyPe Of MaThEmAtIcS iS tHis?"

Answer:

I think the answer is 8

Step-by-step explanation:

t h e   a n s w e r   i s    8   b c    f o r    e v e r y  1  b o o k   i t s   8$

40   d i v i d e d    b y    5   i s  8

 h o p e   t h i s   h e l p s :)

General form of a quadratic equation: \(ax^2+bx+c\)

  ⇒ since the equation: \(-x^2-2x+8\)

     ⇒ so:

To calculate the x-coordinate of the vertex

  ⇒use x = \(-\frac{b}{2a}\)   <--- this is a property that helps you find the vertex of the

                                 quadratic

      x = \(-\frac{(-2)}{2*(-1)} =-1\)

Since x = -1:

    ⇒ we can plug in this x-value into the original equation to find the y-

         value

          \(y =-(-1)^2-2(-1)+8=-1+2+8=9\)

So the coordinate of the vertex: (-1,9)

Hope that helps!

Answer:21 obviously it’s actually (19) don’t tell anyone

Step-by-step explanation:

Answer: 120 beads

Step-by-step explanation:

480 divided by four is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

(so many typos in question so I do not know the names.)

Answer: 120

Step-by-step explanation:

480/4 is equal to 120. Joe has 120 while Anna has 360. Mr Taylor gave each person 120 beads.

Answer:

It should be 40%

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I think it is A because that measures the height of the triangle

Answer:

Option A shows the height of the triangle

Hope this helps!

9514 1404 393

Answer:

  46 24/25 in

Step-by-step explanation:

Opposite pairs of sides are the same length, so the total length needed is ...

  2(8 4/5 +14 17/25) = 2(8 20/25 +14 17/25) = 2(22 37/25) = 2(23 12/25)

  = 46 24/25 . . . inches

Answer: 40 centimeters of tape

Step-by-step explanation:

36/9 = 4

4 centimeters of tape for each student project

4*10=40

Answer:

What does that mean??

Step-by-step explanation:

The total area of the garden is 52 ft².

First we need to calculate the area of the current garden and the area of the rectangular piece that will be added, and then add them together.

The current garden has an area of 20 square feet.

To find the area of the rectangular piece that will be added, we can use the formula for the area of a rectangle:

Area = length x width

The length of the rectangle is the distance between the points (-18, 13) and (-14, 13), which is 4 units. The width of the rectangle is the distance between the points (-18, 13) and (-18, 5), which is 8 units.

Therefore, the area of the rectangular piece that will be added is:

Area = 4 x 8 = 32 square feet

The total area of the garden is the sum of the areas of the current garden and the rectangular piece that will be added:

Total area = 20 + 32 = 52 square feet

Therefore, the total area of the garden is 52 ft².

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