PLEASE HELP SMART PEOPLE!
This is add/subtract polynomials.
h(x)+g(x)
h(x)=6x^2+4x^4+7x​

Answer:

1

Step-by-step explanation:

Answer:17

Step-by-step explanation:

its just the order of operations aka PEMDAS If you want to know more about the order of operations just look it up. :)

Answer:

1/2

Step-by-step explanation:

Kala spun the spinner 1000 times and got the following results:

- Yellow: 400 times

- Red: 300 times

- Blue: 300 times

1. Calculate the amount of sales tax:

  - The item costs $350 before tax.

  - The sales tax rate is 14%.

  - To find the sales tax amount, multiply the cost of the item by the tax rate:

    Sales tax = $350 * 0.14 = $49.

2. Determine the total cost of the item including tax:

  - Add the sales tax amount to the original cost of the item:

    Total cost = $350 + $49 = $399.

3. Analyze the spinner results:

  - The spinner has 10 equal-sized slices.

  - There are 4 yellow slices, 3 red slices, and 3 blue slices.

  - Kala spun the dial 1000 times.

4. Calculate the frequency of each color:

  - Yellow: Kala got 400 yellow results out of 1000 spins.

  - Red: Kala got 300 red results out of 1000 spins.

  - Blue: Kala got 300 blue results out of 1000 spins.

5. Calculate the probability of landing on each color:

  - Yellow: Probability = Frequency of yellow / Total spins = 400 / 1000 = 0.4.

  - Red: Probability = Frequency of red / Total spins = 300 / 1000 = 0.3.

  - Blue: Probability = Frequency of blue / Total spins = 300 / 1000 = 0.3.

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They include 14 values in the Class 0.330- 0.339.

Frequency is the measure of number of times an event happen.

Values from  smallest to highest are

0.329, 0.330, 0.331, 0.331, 0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338, 0.340, 0.340, 0.341, 0.341, 0.342, 0.342, 0.342, 0.344, 0.344, 0.345, 0.346, 0.349, 0.356, 0.358, 0.366.

The values which fall in the range of 0.330 - 0.339

0.330, 0.331, 0.331, 0.333, 0.333, 0.333, 0.334, 0.334, 0.334, 0.336, 0.337, 0.338, 0.338, 0.338

These are total 14 values

Placing the data in a frequency table ,

the values that will fall into the class 0.330 - 0.339 is the range of number between the class .

They include 14 values in the range.

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Using the least common factor, it is found that:

Item a:

10 - 6 - 15 - 12|2

5 - 3 - 15 - 6|2

5 - 3 - 15 - 3|3

5 - 1 - 5 - 1|5

1 - 1 - 1 - 1

Hence, lcf(10,6,15,2) = 2 x 2 x 3 x 5 = 60.

60 packages should be bought.

Item b:

Goody bags are in packages of 12, hence:

60/12 = 5.

There will be 5 filled goody bags.

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To decrease by 56%, you keep 44% of the number, which is 0.44 as a decimal.

So, the answer is \(84(0.44) \approx \boxed{37.0}\).

Point is the least number of dimensions

Im sure :)

Answer:

The \(66\)th term is \(363\).

Step-by-step explanation:

To find the \(n\)th term, the formula is \(7n - 99\). Since we want to find the \(66\)th term, we can plug \(n\) for \(66\). So our expression is now \(7 \cdot 66 - 99 =\) \(66\)th term. Solving this we have

\(462 - 99 = 66\text{th term}\\363 = 66\text{th term}\\\). Therefore, the \(66\)th term is \(\boxed{363}\).

Answer:

a₆₆ = 363

Step-by-step explanation:

the nth term of an arithmetic sequence is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 92 and d = a₂ - a₁ = - 85 - (- 92) = - 85 + 92 = 7 , then

a₆₆ = - 92 + (65 × 7)

      = - 92 + 455

     = 363

Answer:

131072

Step-by-step explanation:

Answer: The answer is 131072.

Step-by-step explanation:

Using a calculator, we find that \(2^{17}=\boxed{131072}.\)

Answer: Perimeter of a semicircle- πr+2πr

Step-by-step explanation:

πr+2πr = 19.02cm

= (2+π)r = 19.02

= (2+3.14159)r/19.02

r = 3.7

The radius of the semicircle is 3.7 cm.

A semicircle is half of a circle. It is a 2D shape formed when a circle is cut into two equal parts. We can create two semi-circles from any circle.

Given that, the total perimeter of a semicircle is 19.02 cm.

We need to find the radius of the semicircle,

We know that,

Perimeter of a semicircle = πr+2r

πr+2r = 19.02cm

= (2+π)r = 19.02

= (2+3.14)r / 19.02

r = 3.7

Hence, the radius of the semicircle is 3.7 cm.

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9514 1404 393

Answer:

  $794.30

Step-by-step explanation:

The account balance for principal P invested at rate r compounded daily for t years is ...

  A = P(1 +r/365)^(365t)

We have P=$9538, r=0.08, t=1, and we want the value of P-A, the interest earned.

  P-A = P(1 +0.08/365)^365 -1) = $9538(1.08327757 -1) ≈ $794.30

The interest earned in one year is $794.30.

Answer:

72 cm squared

Step-by-step explanation:

3 x 4 x 6 = 72 cm squared

Answer: 72 cm ^2

Step-by-step explanation:

Volume of rectangular prism = length x width x height

Volume = 6 x 4 x3 = 72 cm ^2

Answer:

Step-by-step explanation:

1. Important information: The original balance of the savings account is 400 dollars, x is the number of dollars added, and y is the total balance of the savings account.

2. I need to find: The total balance of the savings account (y).

3. What is the equation: y = 400 + x

4. Is the equation additive or multiplicative: Additive

5. I know my answer is correct because: I can use the equation y = 400 + x to calculate the total balance and then double-check my answer using mental math or by subtracting 400 from the total balance to find the amount added (x).

Answer: $0.29 per oz, or 29 cents per oz.

Step-by-step explanation:

To find a unit rate, divide the numerator AND denominator by the denominator. The rate is $6.99/24.2 ounces. We will divide $6.99 by 24.2, and 24.2 ounces by 24.2. The answer will be $0.288843/1 ounce. If we round, it will be $0.29/1 ounce.

Answer: john answer it correctly

Step-by-step explanation:

6.6.6_=216

Answer: The smallest number of equally sized pieces each fraction bar can be broken into is 24.

Step-by-step explanation:

To model the difference of 5/8 and 1/3 using fraction bars, Oman needs to represent each fraction using the same number of equally sized pieces. The smallest number of equally sized pieces each fraction bar can be broken into is 24.

To see why this is the case, we need to find the least common multiple (LCM) of the denominators of 5/8 and 1/3, which is the smallest number that both denominators can evenly divide into. The denominator of 5/8 is 8 and the denominator of 1/3 is 3. The multiples of 8 are 8, 16, 24, 32, 40, 48, and so on. The multiples of 3 are 3, 6, 9, 12, 15, 18, 21, 24, 27, and so on.

The smallest number that appears in both lists is 24, so we can break each fraction bar into 24 equally sized pieces. To model 5/8, Oman will need to shade in 15 out of the 24 pieces, and to model 1/3, Oman will need to shade in 8 out of the 24 pieces.

Oman can then subtract the shaded portion of the 1/3 fraction bar from the shaded portion of the 5/8 fraction bar to find the difference between the two fractions. The resulting fraction bar will have 7 out of the 24 pieces shaded, which represents the difference of 5/8 - 1/3.

Step-by-step explanation:

The length of the original cube is 5 inches.

The approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

To solve the equation 1/x-1 = |x-2| using three iterations of successive approximation, we will start with an initial guess and refine it using an iterative process.

Given that the equation involves absolute value, we will consider two cases:

Case 1: x - 2 ≥ 0

In this case, |x-2| simplifies to x-2, and the equation becomes 1/(x-1) = x-2.

Case 2: x - 2 < 0

In this case, |x-2| simplifies to -(x-2), and the equation becomes 1/(x-1) = -(x-2).

Now, let's perform the successive approximation:

Iteration 1:

Let's start with an initial guess, x = 2.

Case 1: When x - 2 ≥ 0,

1/(2-1) = 2-2,

1/1 = 0,

which is not true.

Case 2: When x - 2 < 0,

1/(2-1) = -(2-2),

1/1 = 0,

which is not true.

Since our initial guess did not satisfy the equation in either case, we need to choose a different initial guess.

Iteration 2:

Let's try x = 3.

Case 1: When x - 2 ≥ 0,

1/(3-1) = 3-2,

1/2 = 1,

which is not true.

Case 2: When x - 2 < 0,

1/(3-1) = -(3-2),

1/2 = -1,

which is not true.

Again, our guess did not satisfy the equation in either case.

Iteration 3:

Let's try x = 2.5.

Case 1: When x - 2 ≥ 0,

1/(2.5-1) = 2.5-2,

1/1.5 = 0.5,

which is true.

Case 2: When x - 2 < 0,

1/(2.5-1) = -(2.5-2),

1/1.5 = -0.5,

which is not true.

Our guess of x = 2.5 satisfies the equation in Case 1.

Therefore, the approximate solution to the equation 1/x-1 = |x-2| after three iterations of successive approximation is x ≈ 5/2 or x ≈ 2.5.

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It will take 15.03 years for Bentley's money to triple.

For Bentley:

We have

Principal (P) = $670

Interest rate (r) = 6 7/8% = 0.06875 (compounded quarterly)

Time (t) = unknown

Amount after t years (A) = \(P(1 + r/4)^{4t}\)

For Camden:

We have

Principal (P) = $670

Interest rate (r) = 7 3/8% = 0.07375 (compounded annually)

Time (t) = unknown

Amount after t years (A) = \(P(1 + r)^t\)

We have to find t such that 3P_Bentley = Camden.

\(2010 = 2010(1 + r/4)^{4t} / (1 + r)^t\)

Simplifying, we get:

\((1 + r/4)^{4t} / (1 + r)^t = 1/3\)

Taking natural logarithm:

4t ln(1 + r/4) - t ln(1 + r) = ln(1/3)

4 ln(1 + r/4) - ln(1 + r) = ln(1/3) / t

t = (4 ln(3.88356) - 4 ln(16)) / ln(3)

Solving for t, we get:

t = 15.034752564

t = 15.03 years.

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Answer: 2.90 acres.

Step-by-step explanation:

1.45x2 or 1.45 + 1.45  

The mean of the sampling distribution of sample means when 35 random components are tested will be 4.05 years.

From the information, it should be noted that the journalist believes that, in reality, these components have a shorter lifespan than what the company is reporting.

He the tests a random group of 35 of these components and finds a mean lifespan of 4.05 years.

Therefore from the information, we acne see that the. mean lifespan has already been given.

Therefore, the mean lifespan is 4.05 years.

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Answer: $0.576

Step-by-step explanation:

The total amount in prizes is $1800.

For there to be 60% profit, the total cost of the tickets need to be \(1800(1.6)=\$ 2880\).

Thus, each ticket must sell for \(\frac{2880}{5000}=\$ 0.576\)

$0.576 should be charged so there is a 60% profit per ticket.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

The prizes are $1000, $500, $200, and $100.

So, total prize = 1000+ 500+ 200+ 100 = $1800.

The, the price of ticket to break

= 1800 / 5000

= $0.36

Now, the price for 60% ticket = 0.36 (1 + 0.6)

                                                 = 0.36 x 1.6

                                                 = $0.576

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Answer:

this is all on you i cant do thatXD

Step-by-step explanation:

Answer:

The differential equation is \(\frac{dR}{dt} = -kR\)

Step-by-step explanation:

Differential equation for the rate of change in radiation level:

Radiation level is R.

Rate of change indicates that the radiation level R varies in function of time t, which mathematically means that we have:

\(\frac{dR}{dt}\)

After the reactor is shut down, the radiation from the nitrogen-17 decreases in such a way that the rate of change in the radiation level is directly proportional to the radiation level.

Rate of change is k. Decreases means that k is negative. Proportional to the radiation level of R means that -k multiplies R. So the differential equation is:

\(\frac{dR}{dt} = -kR\)

Answer:

x=2.6

Step-by-step explanation:

Solve for x if h(x)=-7x-5 given that h(x)=-33

-33=-7x-5

-33+5=-7x

-18=-7x

-18/-7=x

2.6 =x