What is the degree of the polynomial, y^2+7x^14-10x^2?

The equation in terms of x that represents the given relationship is 114 = (1 + 3x) * (Width)

Let's break down the information given:

Height of the rectangular box = 7 ft

Length of the rectangular box = 1 ft longer than thrice the width (x)

Volume of the rectangular box = 798 ft³

To write an equation that represents the given relationship, we need to relate the length, width, and height to the volume.

The volume of a rectangular box is given by the formula: Volume = Length * Width * Height.

Given that the height is 7 ft, we can substitute this value into the equation.

Volume = (Length) * (Width) * (7)

Now, let's focus on the length. It is described as 1 ft longer than thrice the width.

Length = 1 + (3x)

Substituting this value into the equation, we have:

Volume = (1 + (3x)) * (Width) * (7)

Since the volume is given as 798 ft³, we can set up the equation as follows:

798 = (1 + (3x)) * (Width) * 7

Simplifying further, we get:

798 = 7 * (1 + 3x) * (Width)

Dividing both sides of the equation by 7, we have:

114 = (1 + 3x) * (Width)

Therefore, the equation in terms of x that represents the given relationship is:

114 = (1 + 3x) * (Width)

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Answer:

25 11/28

can i have brainliest now lol

Answer:

\(25\frac{11}{28}feet\)

Step-by-step explanation:

\(3+13\frac{1}{7} + 9\frac{1}{4}\)

\(3+22\frac{11}{28}\)

\(25\frac{11}{28}\)

Answer:

54

Step-by-step explanation:

If a is 3, then we plug in "a" as 3.

3(6a) is 3(6(3))

3 * 6 * 3 = 54

Answer:

1 out of 6

Step-by-step explanation:

Each roll of the die is an independent event. This means that the second roll does not rely on the first roll. The probability of rolling a six is one out of six. The probability of rolling a two is also one out of six. Since the two events are independent of each other, you would take the average of the two probabilities, which since they are both one out of six, the probability of rolling a six and then a two is one out of six.

Answer:

$44.40

Step-by-step explanation:

100%-70%=30%

30/100x148=44.40 (discounted price)

Appreciate to be marked brainliest. Hope this helps!

Answer:

1,061.64

Step-by-step explanation:

Im sorry if this is wrong

The 36th derivative of f(x) = cos(2x) is \(2^{17}\)* cos(2x).

To find the 36th derivative of the function f(x) = cos(2x), we can apply the chain rule repeatedly. The chain rule states that if we have a composite function y = f(g(x)), then its derivative is given by dy/dx = f'(g(x)) * g'(x).

Let's start by finding the first few derivatives of f(x) = cos(2x):

f'(x) = -2sin(2x)

f''(x) = -4cos(2x)

f'''(x) = 8sin(2x)

f''''(x) = 16cos(2x)

We observe a pattern where the derivatives of cos(2x) alternate between sin(2x) and cos(2x), with the signs changing accordingly.

Based on this pattern, we can see that the 36th derivative will be:

f^(36)(x) =\((-1)^{17} * 2^{17} *\) cos(2x)

Simplifying this expression, we have:

f^(36)(x) = \(2^{17} * cos(2x)\)

Therefore, the 36th derivative of f(x) = cos(2x) is\(2^{17\) * cos(2x).

It's important to note that in this case, the number 36 is even, and since the derivatives of cos(2x) follow a repeating pattern every 4 derivatives, the sign (-1) raised to the power of 17 accounts for the change in sign in the 36th derivative.

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A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.

Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting

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Considering the situation described above, what would be the present value of this loan is $1,000.

This is explained below:

Given that the loan interest rate is $85 85/1000 = 8.5

Then the market interest rate is => 8.5 percent

Therefore, given that there is no difference between the market rate and the loan rate, then the loan is expected to be sold at $1,000 which is the face value of the loan.

To prove it, we have the following:

PV of the annuity of $85 during 8 years at an 8.5% market rate

C => 85

Time => 8

Rate => 0.085

C × { [1 - ( 1+ r ) ] ^-time } ÷ rate = PV

85 × [1 - (1 + 0.085)^-8] ÷ 0.085 = PV

PV =. $479.3306

Present value of the maturity date:

Maturity 1000

Time => 8

Rate => 0.085

Maturity ÷ (1+rate)^rate = PV

1000 ÷ (1+0.085)^8 = PV

PV => $520.6694

Therefore, the Total present value

=> PV c $479.3306 + PV m $520.6694

=> Total $1,000.

Hence, in this case, it is concluded that the correct answer is $1,000.

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Answer:

--------------------

The range of the given function has one restriction, its denominator can't be zero, hence:

Therefore the function can get any value but zero:

The matching answer choice is D.

Linear function is f(x) = mx + b.

Reciprocal of a function f(x)  is 1/f(x).

So the reciprocal of linear function has a form of f(x) = 1 / (mx + b).

The only answer choice in same form is D.

Substitute x = - 5/3 into function to get:

This is undefined value, therefore it represents the vertical asymptote.

The function gets close to - ∞ when x → - 5/3 from left and gets close to +∞ when x → - 5/3 from right (see attached graph).

Therefore the correct choice is B.

Answer:

non of these because you are a good friend and look at the house to you nanu you nanu to get the house ☺️ to get well and

$105 is higher than $100, the minimum Payment due on Josiah's credit card is $105.

The minimum payment due on Josiah's credit card 3% of his outstanding balance and compare it to the minimum payment of $100. The higher amount between the two will be the minimum payment.

1. Calculate 3% of $3,500:

3% * $3,500 = 0.03 * $3,500 = $105

2. Compare the calculated amount with the minimum payment of $100:

Minimum payment = max($105, $100)

Since $105 is higher than $100, the minimum payment due on Josiah's credit card is $105.

The credit card company sets a minimum payment to ensure that the cardholder makes regular payments towards their outstanding balance. The minimum payment is usually a percentage of the balance or a fixed amount, whichever is higher. In this case, the minimum payment is calculated as 3% of the outstanding balance or $100, whichever amount is greater.

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Answer: Can u post a question?

Step-by-step explanation:

To determine the function that models the data, we need to analyze the relationship between the cost per photo and the number of photos a customer buys. From the given information, we can observe that the cost per photo varies inversely with the number of photos. This implies that as the number of photos increases, the cost per photo decreases, and vice versa.

To model this relationship, we can use the inverse variation equation, which can be expressed as:

y = k/x

Here, y represents the cost per photo, x represents the number of photos, and k is the constant of variation.

Let's examine the data given in the table to find the value of k:

Number of Photos (x) Cost per Photo (y)

10 10

25 4

50 2

100 1

We can see that as the number of photos increases, the cost per photo decreases. We can use any pair of values from the table to solve for k. Let's choose the pair (50, 2):

2 = k/50

Solving for k:

k = 2 * 50 = 100

Now that we have the value of k, we can write the function that models the data:

y = 100/x

Therefore, the function that models the data is y = 100/x, where y represents the cost per photo and x represents the number of photos a customer buys.

Answer:

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = (x+1)³ - 2 = (x-(-1))³ - 2. Comparing this to f(x) = (x-2)³, we see that replacing x with x+3 in f(x) gives g(x) = (x+3-2)³ = (x+1)³, so this transformation moves the graph of f(x) three units to the left. Then, adding the constant -2 to f(x) translates the graph down 2 units. Finally, adding the constant 2 to the result of the previous step translates the graph up 2 units, so the graph of g(x) is obtained by first translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Function f is translated to the right 2 units, and then up 1 unit to obtain function g.

To see this, note that g(x) = √x - 2 + 1 = f(x-2) + 1. This means that the graph of g(x) is obtained by translating the graph of f(x) to the right 2 units, and then translating it up 1 unit. Therefore, the correct answers are:

Function f is translated to the right 2 units.

Function f is translated up 1 unit.

Step-by-step explanation:

Answer:

The answer D is correct.

Step-by-step explanation:

-x + y = 8 ⇒ ( 1 )

7x + 3y = - 16 ⇒ ( 2 )

y = 8 + x ⇒ ( 3 )

Let us take equation 2 and let us replace y with (8+x).

Let us solve and find the value of x.

7x + 3y = -16

7x + 3 ( 8 + x ) = - 16

7x + 24 + 3x = -16

10x + 24 = -16

10x = -16 - 24

10x = -40

And now let us find the value of y.

For that, let us use equation (3)

Here, we have to replace x with -4 to find the value of y.

y = 8 + x

y = 8 - 4

Now we have to the answers in the form ( x , y )

Let us write.

( x , y ) ⇒ ( -4 , 4 )

Let me know if you have any other questions. :-)

Answer:

The missing side length is 24.98 units

Step-by-step explanation:

Given

The attached right-triangle

Required

The length of the missing length

Let the missing length be x.

Apply Pythagoras theorem

\(Hyp^2 = Opp^2 + Adj^2\)

This gives

\(43^2 = 35^2 + x^2\)

\(1849 = 1225 + x^2\)

Collect like terms

\(x^2 = 1849 - 1225\)

\(x^2 = 624\)

Take square roots of both sides

\(x = \sqrt{624\)

\(x = 24.98\) --- approximated

we have

x=2a-b^2

solve for a

That means -----> isolate the variable a

step 1

adds b^2 both sides

x+b^2=2a

step 2

Divide by 2 both sides

a=(x+b^2)/2

therefore

Answer:

this list

Step-by-step explanation:

1×12000=12000

2×6000=12000

3×4000=12000

4×3000=12000

5×2400=12000

6×2000=12000

8×1500=12000

10 ×1200=12000

12 ×1000=12000

Answer:

Opposite is on the other side to the angle θ

Adjacent is next to the angle θ

Hypotenuse is the long one.

Step-by-step explanation:

Answer:

6.85 is the answer to this.

Step-by-step explanation:

356*24*60=525,600 minutes in a year

Birth rate

3,600,000/525,600 = 6.85

Answer:

6

Step-by-step explanation:

slope is m in the y=mx+b

Answer:

Given that the vertices of quadrilateral PQRS are P(6,3), Q(4,2), R(2,4) and S(4,5) and the quadrilateral is dilated with a scale factor of 2, about the origin.

Now, let's find the new vertices of the dilated image:

Vertex P is dilated by a scale factor of 2, its new coordinates will be (2 × 6, 2 × 3) = (12, 6). Therefore, the new vertex P' is at (12, 6).

Vertex Q is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 2) = (8, 4). Therefore, the new vertex Q' is at (8, 4).

Vertex R is dilated by a scale factor of 2, its new coordinates will be (2 × 2, 2 × 4) = (4, 8). Therefore, the new vertex R' is at (4, 8).

Vertex S is dilated by a scale factor of 2, its new coordinates will be (2 × 4, 2 × 5) = (8, 10). Therefore, the new vertex S' is at (8, 10).

Therefore, the coordinates of the vertices of the final image are P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).So, the correct option is D. P’(12, 6), Q’(8, 4), R’(4, 8), and S’(8, 10).

Step-by-step explanation:

Hope this helps you!! Have a good day/night!!

241,864,704  many different passwords are possible.

The total characters of the password is six in which it is given that first character should start with W, X, Y or Z. So the first character can be filled in 4 ways.

For next five characters it can be any letter of the alphabet or any numeric digit so it will be 26 + 10 = 36.

So second, third, fourth, fifth and sixth space can be taken by 36 characters.

Therefore the total no. of passwords will be 4 * 36 * 36 * 36 * 36 * 36 that is equal to 241,864,704.

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Answer: 12,800

Step-by-step explanation:

           To find 20% of 64,000, we will turn 20% into a decimal and then multiply. In math, the term "of" usually means multiplication.

20% / 100 = 0.2

64,000 * 0.2 = 12,800

                    20% of 64,000 is 12,800.

Answer:

A. 7.50+5.25= 12.75........

Answer:

C.

Step-by-step explanation:

Two bots 7.50 each

Three DVDs 5.25 each

2 x 7.50 = 15

3 x 5.25 = 15.75

15 + 15.75 = 30.75

$30.75

n⁴ - 2n³ - 23n² + 24n + 144 is the standard form of given zeroes.

What is a linear equation in mathematics?

A linear equation is an algebraic equation of the form y=mx+b. m is the slope and b is the y-intercept. The above is sometimes called a "linear equation in two variables" where y and x are variables.

                              A linear equation is an equation that raises a variable to the first power. ax+b = 0 is an example of a 1 variable. x is a variable and a and b are real numbers.  

Roots : -3(mult . 2), 4(mult.2)

the function is given as

     f(n) = (n + 3)² (n - 4)²

         = (n + 3) (n + 3 ) ( n - 4 ) ( n - 4)

        = (n² + 6n + 9) (n² - 8n + 16 )

        = n⁴ - 8n³ + 16n² + 6n³ - 48n² + 96n + 9n² - 72n + 1

collecting like term,

    f(n) = n⁴ - 2n³ - 23n² + 24n + 144

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Answer:

y=-1x-8

Step-by-step explanation: