The sum of two polynomials is 3x2 + 3x + 8. One of the polynomials is
- 2 + 7. What is the other polynomial?
6x? -
x2

Answer:

13.4

Step-by-step explanation:

AB =2DC

So, DC=AB/2

Now, AB/AC=DE/DC

AB/28=13/(AB/2)

AB²=13×28×2

AB=√728

AB=26.98

now, DC=AB/2

=13.4

The length of DC is √182.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .

DE is parallel to AB.

If AB is twice the length of DC, AC = 28, and DE = 13

We have to find the length of DC

DC/AC=DE/AB

x/28=13/2x

Apply cross multiplication

2x²=13×28

2x²=364

Divide both sides by 2

x²=364/2

x²=182

x=√182

Hence, the length of DC is √182.

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The cost of the other 2 panes of glass is $5.70. If this is wrong, I am sorry :( Have a great day!

Answer:

Step-by-step explanation:

Independent variables may be referred to as one or more single or standalone variables which affects the outcome or output variable, which is the dependent or response variable. To determine the cost of sandwich (this will be the response variable), this will be affected or dictated by the independent variables, which includes ; the size of sandwich, the type of bread roll used (hard roll, soft bun, hero, slice bread). Also, the tyoe of sandwich filling which may be (cheese, Ham salad, Ham and cheese, Egg mayonnaise and so on). Therefore, these variables are independent and the combination of each of these predictor variables will dictate the dependent variable, Cost.

Answer:

so let's see buddy....

Step-by-step explanation:

look at that angle having 45, zed (Z) angles are equal, which means the bottom left inside the triangle is also 45°.

now sum of angles in a triangle is 180°...

so we add up all the angles and equal them to 180° but an angle is missing, let's name it Y°.

so...

96°+45°+Y°=180°

101°+Y°=180°

Y°=180°–101°

Y°=79°

to find x, sum of angles in a straight line is 90°

so we subtract 79 from 90

x°= 11

The values of ;

1. Z = 20°

2. A = 45°

3. y = 100°

An angle is a combination of two rays (half-lines) with a common endpoint. There are different types of angles , they are :

angle on a straight line : Angles that are exactly 90°

right angle : angles that are exactly 90°

obtuse angle : angles that are above 90° but less than 180°

acute angle : angles that are less than 90°

The sum of angles In a triangle is 180°

1. Z = 180-(120+40)

= 180 -160

= 20°

2. A + 45 = 90°

A = 90 - 45

A = 45°

3. 80 + Y = 180

Y = 180 - 80

Y = 100°

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Answer:

(a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + C(n, 2)a^(n-2) b^2 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n

The binomial expansion of (2x - 3y)^5 is:

32x^5 - 240x^4y + 720x^3y^2 - 1080x^2y^3 + 810xy^4 - 243y^5

The binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

The given expression is (2x-3y)⁵.

In elementary algebra, the binomial theorem describes the algebraic expansion of powers of a binomial.

(2x)⁵+⁵c₁(2x)⁴(3y)¹+⁵C₂(2x)³(3y)²+⁵C₃(2x)²(3y)³+⁵C₄(2x)(3y)⁴+⁵C₅(3y)⁵

= 32x⁵+5(16x⁴)(3y)+10.(8x³)(9y²)+10(4x²)(27y³)+5(2x)(81y⁴)+243y⁵

= 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵

Therefore, the binomial expansion of the given expression is 32x⁵+240x⁴y+720x³y²+1080x²y³+810xy⁴+243y⁵.

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Answer:

x = -3. Y = 12

Step-by-step explanation:

the answer is D

Answer:

10 pages

Step-by-step explanation:

To find 20% of 50, multiply .20 x 50

.2 × 50 = 10

Answer:

10 pages

Step-by-step explanation:

20% of 50 pages

One way is converting 20% to a decimal 0.2

0.2 x 50 = 10 pages.

The foot be moving away from the wall when the top is 10 feet above the ground is 2.4077

How to solve word problems?

It's actually fairly easy to solve word problems using a tried-and-true step-by-step approach.

The ladder against the wall is a right triangle:

x² + y² = 15²

Top slips down => dy/dt = -2 ft/s. When y = 10 ft.  dx/dt = ?

1) Take the derivative with respect to time:

2x (dx/dt) + 2y (dy/dt) = 0

2) Substitute y = 10, x =sqrt(69) z =15

2(sqrt(69)) (dx/dt) + 2(10) (-2) = 0

dx/dt = 40/2(sqrt(69))

dx/dt = 20/(sqrt(69))

= 20/8.30

=2.4077

Hence, the foot be moving away from the wall when the top is 10 feet above the ground is 2.4077.

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If we call `to_pounds(9, 12)`, it will return 9.75, as 9 pounds and 12 ounces is equivalent to 9.75 pounds.

Here's a method called `to_pounds` that takes in the number of pounds and ounces as integers and returns the total weight in pounds as a decimal.

```python

def to_pounds(pounds, ounces):

   return pounds + (ounces / 16)

```

In the method, we divide the number of ounces by 16 to convert them into decimal representation of pounds. This is because there are 16 ounces in a pound.

We then add this value to the given number of pounds, resulting in the total weight in pounds as a decimal. For example, if we call `to_pounds(9, 12)`, it will return 9.75, as 9 pounds and 12 ounces is equivalent to 9.75 pounds.

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The fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

Ryan grew \($\frac{1}{2}$\) feet in a year.

1. To express the fraction \($\frac{9}{12}$\) as a sum of smaller fractions, we can simplify it by dividing both the numerator and denominator by their greatest common divisor. In this case, the greatest common divisor of \(9\) and \(12\) is \(3\).

So, we can rewrite \($\frac{9}{12}$\) as:

\($\frac{9}{12} = \frac{3 \times 3}{3 \times 4} = \frac{3}{4}$\)

Therefore, the fraction \($\frac{9}{12}$\) can be expressed as the sum of the smaller fraction \($\frac{3}{4}$\).

2. To find how much Ryan grew in a year, we need to calculate the difference between his height this year and his height last year.

Let's convert the mixed fractions to improper fractions for easier computation:

Last year's height: \($4 \frac{3}{4} = \frac{4 \times 4 + 3}{4} = \frac{19}{4}feet\)

This year's height: \($5 \frac{1}{4} = \frac{5 \times 4 + 1}{4} = \frac{21}{4} feet\)

To determine the growth, we subtract last year's height from this year's height:

\($\frac{21}{4} - \frac{19}{4} = \frac{21 - 19}{4} = \frac{2}{4} = \frac{1}{2}feet\)

Therefore, Ryan grew \($\frac{1}{2}$\) feet in a year.

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Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

\( \bf \huge 61.25\)

Step-by-step explanation:

we have,

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

⟼ for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

⟼ $ 61•23

∴ maddy cost $ 61•23 for buys both.

Answer:

a) 148°

b) 35.35 cm squared

Step-by-step explanation:

a)

\(\alpha =2tan(\frac{14}{4} )^{-1} =148\)

b)

\(A=4*14-\frac{\pi 4^{2}*148 }{360} =35.35cm^{2}\)

By applying the simple concept of algebra, the equation showing the number of Kenny's baseball cards (b) is b = 82 + 159. So it can be concluded that the number of Kenny's baseball cards is 241 cards.

The use of algebra in everyday life.

Algebra is a branch of mathematics that uses numbers, symbols, or letters to solve math problems. In everyday life, algebra is often used, starting from simple mathematical operations, to financial planning, calculating time/mileage, and so on.

In the above questions, we can take some notes as follows:

Baseball cards sold (x) = 82 cards.

Remaining baseball cards (y) = 159 cards.

The number of baseball cards owned by Kenny (b):

b = x + y

  = 159 + 82

  = 241 cards

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Answer:

I say its 14 because it says  times more" so u would divide 70 by 5 but im debating between 14 and 65

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

f(x)= 2x^5-3x^3+2x^2+1

Let x=1

f(1)= 2(1)^5-3(1)^3+2(1)^2+1

    = 2*1 -3*1+2(1) +1

     = 2-3+2+1

     2

\( \tt{if \: \: f(x) = 2 {x}^{5} - 3{x}^{3} + 2 {x}^{2} + 1 \: \: then \: \: f(1) = ?}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 {x}^{5} - 3 {x}^{3} + 2 {x}^{2} + 1}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 {(1)}^{5} - 3 {(1)}^{3} + 2 {(1)}^{2} + 1}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 (1) - 3 (1) + 2 (1) + 1}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 - 3 + 2 + 1}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 - 3 +3}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 \: \: \cancel{ \color{red}- 3 +3}}\)

\(\quad \quad \quad \quad \tt{f(x) = 2 }\)

________

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Answer:

Step-by-step explanation:

1. 30$ 2. 5$ 3. 60$ 4. 45$   trust

Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

Particular solution to the given differential equation is dy/dt =\(e^t / (-2dt^2 + y dt)\), the constant d represents any arbitrary constant value,

To find a particular solution to the given differential equation:

dy/dt = \(e^t / (-2dt^2 + y dt)\)

We can use the method of undetermined coefficients. Let's assume the particular solution has the form:

y_p(t) = A ×\(e^{at)\)

where A and a are constants to be determined.

Now, we'll differentiate y_p(t) to find dy_p/dt and substitute it into the differential equation:

dy_p/dt = A * a * \(e^{at}\)

Substituting this into the differential equation, we get:

A * a *\(e^{at}\) = \(e^{t}\) / (-2dt² + A * \(e^{at}\) dt)

Now, let's solve for the values of A and a.

Comparing the terms on both sides, we can equate the coefficients:

A * a = 1 (equation 1)

-2d = A (equation 2)

From equation 2, we can solve for A:

A = -2d

Now, substitute this value of A into equation 1:

-2d * a = 1

Solving for a:

a = -1 / (2d)

Therefore, the particular solution to the given differential equation is:

y_p(t) = (-2d) * \(e^{-t/2d}\)

Note: The constant d represents any arbitrary constant value, and it is included in the particular solution.

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Answer:

Can't solve

Step-by-step explanation:

Theres no image.

no because division is not associative only multiplication.

Answer:

119

Step-by-step explanation:

just times the numbers

Answer:

100 gallons of water would cost $119

Step-by-step explanation:

Multiply 100 by 1.19 and you get 119.

The cost of 100 gallons of water would be $119.

Answer:

m angle A = x = 30 degrees

Step-by-step explanation:

Vertical angles are equal.

So 3x - 60 = x

2x = 60

x = 30

Answer:

Vertical angles are always equal.

So you can set the equation up like this:

5x + 10 = 7x - 12

Subtract 5x from both sides. Then Add 12 to both sides.

22 = 2x

Divide both sides by 2.

11 = x

Step-by-step explanation:

kya tablet side apply the side of the wall has 22 M and 20 m

Answer:

length = 62.41 inches

Step-by-step explanation:

Using pythagoras theorem -

Let

a = hypotenuse

b = height

c = length

a^2 = b^2 +c^2

75^2 = 41.6^2 + c^2

Therefore,

75^2 - 41.6^2 = c^2

5625 - 1730.56 = c^2

389.44 = c^2

square root (389.44) = c

62.40544848 = c

Answer:

62 inches.

Step-by-step explanation:

and finally, take the square root of the number we are left with after subtracting \(B^{2}\) , or 1730.56, from 5625, or \(C^{2}\)

5625 - 1730.56 =3894.44

\(\sqrt{3894.44}\) = 62.405

I will have $2500 at the end of 5 years

Interest Rate is the amount of interest due per period, as a proportion of the amount lent, deposited, or borrowed. It is the percentage of principal charged by the lender for the use of its money.It is also percentage a lender charges on the amount of money borrowed.

Where, The principal is the amount of money loaned.

The formula = Principal * Rate * Time/100

Where Principal = $10000

Rate = 5%

Time = 5 years

Simple Interest = 10000 * 5 * 5/100

Simple Interest = 250000/100

Simple Interest = $2500

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Answer:

25%

Step-by-step explanation:

55 + 12 + 88 + 45 + 9 + 91=300/12=25=25%

Answer:

7

Step-by-step explanation:

Since V is equal to 5, I'm guessing the equation is 2V - 3? You substitute V with 5, in the equation and solve! 5 ⋅ 2 - 3, so 5 times 2 is 10, and then you subtract 3 by 10. Then you get the answer 7!

Answer:

877.1929824561 dollars

Step-by-step explanation:

100000÷114= 877.1929824561 dollars

hope it helps!