multiplying monomials and binomials

7x(x+20)​

Answer:

2n+8

Step-by-step explanation:

Answer:

The function displayed in the table is best described as an Exponential Decay Function.

Step-by-step explanation:

            First, the main difference between a linear and an exponential function is the shape of its graph, as well as the presence of either a constant ratio or a constant rate of change.

            Linear functions are functions with a base function of  \(f(x)=mx+b\), which has a constant rate of change (\(m\)), and the shape of its graph will be a straight line.

            Exponential functions on the other hand use the base function \(f(x)=a^x\), where \(a\) is the constant ratio of the function, and its graph is curved and has a horizontal asymptote that the graph will approach but never touch as it either increases or decreases to positive or negative infinity respectively.

            The function in the problem gives you four points that are on its graph: (-2, 540), (-1, 270), (0, 135), and (1, 67.5). Using these points, you can determine whether it is a linear or exponential function. You can tell that when the x-value increases by 1, the f(x) value is divided by 2, or multiplied by \(\frac{1}{2}\). Since there is a constant ratio instead of a constant rate of change in the function, you would know that the function in the table is an exponential function. Since the function is also constantly decreasing, the function would be best described as an Exponential Decay Function.

Have a great day! Feel free to let me know if you have any more questions :)

\(3-2\left|2-5\left|+3\right\\= -23\)

Answer:

145°

Step-by-step explanation:

because opposite angles r equal

The value is 24 square units is parallel to the face of the right rectangular prism.

We can see that the face of the given rectangular prism shows a width 4 and a height of 6. If we cut the figure at any point along the length 20, such that the cross-section is parallel to the face, the cross-section, which occurs at x length, will always have the same dimensions, which are 4 and 6.

So the area of the cross-section which is parallel to the face of the given rectangular prism is given by:

A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

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A = 6 × 4

A = 24

Thus, the value is 24 square units is parallel to the face of the right rectangular prism.

Answer:

By making a diagram/ drawing putting the two numbers in the empty space. and using 1, 2, 3 ( you get the idea until you get the GCF or LCM.

Step-by-step explanation:

Answer:

The least common multiple 150 is a product of common & odd prime factors between the integers which is divisible by each one an integer of this same group.

Answer:

150

Step-by-step explanation:

25*6=150

10*15=150

30*5=150

Answer:

12

Step-by-step explanation:

2/4 of 24

24÷4=6

6×2

=12

Using monthly payment formula, the Smith Family's total monthly payment is approximately $2,360.99.

To calculate the total monthly payment for the Smith Family, we need to consider the mortgage payment, insurance, property tax, and HOA fees.

1. Mortgage Payment:

The loan amount is the house price minus the down payment:

$350,000 - $70,000 = $280,000.

To calculate the monthly mortgage payment, we need to determine the interest rate and loan term. Since you mentioned it's a 15-year loan, we'll assume an interest rate of 4% (which can vary depending on market conditions and the borrower's credit).

We can use a mortgage calculator formula to calculate the monthly payment:

M = P [i(1 + i)ⁿ] / [(1 + i)ⁿ⁻¹]

Where:

M = Monthly mortgage payment

P = Loan amount

i = Monthly interest rate

n = Number of months

The monthly interest rate is the annual interest rate divided by 12, and the loan term is 15 years, which is 180 months.

i = 4% / 12 = 0.00333 (monthly interest rate)

n = 180 (loan term in months)

Plugging in the values into the formula:

M = $280,000 [0.00333(1 + 0.00333)¹⁸⁰] / [(1 + 0.00333)¹⁸⁰⁻¹]

Using a calculator, the monthly mortgage payment comes out to be approximately $2,014.99.

2. Insurance:

The monthly insurance payment is given as $66.

3. Property Tax:

The monthly property tax payment is given as $230.

4. HOA Fees:

The HOA fees are stated as $600 per year. To convert this to a monthly payment, we divide by 12 (months in a year): $600 / 12 = $50 per month.

Now, let's add up all these expenses:

Mortgage payment: $2,014.99

Insurance: $66

Property tax: $230

HOA fees: $50

Total monthly payment = Mortgage payment + Insurance + Property tax + HOA fees

Total monthly payment = $2,014.99 + $66 + $230 + $50

Total monthly payment = $2,360.99

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The volume of the solid generated by revolving the region bounded by the graphs of the equations y = 1/sqrt(3x + 4), y = 0, x = 0, and x = 3 about the x-axis is (8π/3).

To find the volume of the solid generated by revolving the region bounded by the given curves, we can use the method of cylindrical shells.

First, let's sketch the region to visualize it. The graph of y = 1/sqrt(3x + 4) is a curve that approaches the x-axis as x increases. The region is bounded by the x-axis, the vertical lines x = 0 and x = 3, and the curve y = 1/sqrt(3x + 4).

To find the volume, we integrate the cross-sectional area of the cylindrical shells as we rotate them about the x-axis. The radius of each shell is given by the distance between the x-axis and the curve y = 1/sqrt(3x + 4), which is 1/sqrt(3x + 4). The height of each shell is the difference between the two vertical lines x = 0 and x = 3, which is 3.

The volume of each shell is given by the formula V = 2πrhΔx, where r is the radius, h is the height, and Δx is the infinitesimal width of each shell. Integrating this expression over the interval [0, 3] gives us the total volume:

V = ∫[0, 3] 2π(1/sqrt(3x + 4))(3) dx

To evaluate this integral, we can make the substitution u = 3x + 4. This gives us du = 3dx, or dx = du/3. The integral becomes:

V = ∫[4, 13] (2π/3)(1/sqrt(u)) du

Now, we can simplify and evaluate the integral:

V = (2π/3) ∫[4, 13] u^(-1/2) du

  = (2π/3) [2u^(1/2)]|[4, 13]

  = (2π/3) [2√13 - 2√4]

  = (2π/3) (2√13 - 4)

  = (4π/3) (√13 - 2)

Therefore, the volume of the solid generated by revolving the given region about the x-axis is (8π/3).


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Answer:

x > − 6

Step-by-step explanation:

BigDecimal gives you control over how values are rounded. By default option(d) all calculations are exact and rounding occurs.

BigDecimal is a Java class that provides a way to perform exact calculations on decimal numbers with a high degree of precision and control over rounding. Unlike primitive data types, such as double and float, which are prone to rounding errors due to their binary representation, BigDecimal stores numbers using a base-10 representation, allowing for more precise calculations.

Additionally, it allows the programmer to specify rounding rules, such as rounding up or down to a certain number of decimal places, ensuring that the results of calculations are accurate and consistent. This makes BigDecimal a useful tool for applications that require precise numerical calculations, such as financial and scientific applications.

Therefore, the correct option is (d) all calculations are exact and rounding occurs

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Answer:

(10, 4, -3)

Step-by-step explanation:

z = -3

y + z = 1

y - 3 = 1

y = 4

x + y - z = 17

x + 4 - -3 = 17

x + 4 + 3 = 17

x + 7 = 17

x = 10

(10, 4, -3)

Answer:

(10,4,-3)  

Step-by-step explanation:

(x,y,z)

z= -3 given

y+z = 1 (equation 2)

y-3 =1

y=4 (solve 2 after substation)

eq #1 : x + 4 - (-3) = 17

x+4+ 3 = 17

x+ 7 = 17

x=10

(10,4,-3)  

I just have that 100 miles for Company B gets them to $130, matching the daily price for Company A, but I don't know the amount of matching miles for the same price.

I know this might not help at all.

Answer:

x > -3

Step-by-step explanation:

10(3x + 2) > 7(2x − 4)

30x + 20 > 14x - 28

16x + 20 > -28

16x > -48

x > -3

So, the answer is x > -3

The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively

From the question, we have the following parameters that can be used in our computation:

The graph

The above graph is an exponential function

The rule of an function is that

The domain is the set of all real values

In this case, the domain is (-∝, ∝)

For the range, we have

Range = (0, ∝)

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Answer:

1=12 inches

2=42 inches

3= 315 feet

4= it looks like he’s less than 1/4th of a mile away from big ben

5=?

6=?

Step-by-step explanation:

thats all i could help with

Answer:

\(\frac{3}{4}\)  tablespoons per cup

Step-by-step explanation:

[1] Create an equation:

\(\frac{\frac{1}{2}salt }{\frac{2}{3}cup }=\frac{x. tabelspoons}{1 cup}\)

[2] Cross multiply

\(\frac{1}{2}salt=\frac{2}{3}x.tablespoons\)

[3] Divide both sides by \(\frac{2}{3}\)

\(\frac{3}{4}\) = x tablespoons

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

     ★ Also please leave the rating you think I deserve (It helps other users as well as myself)

- Heather

the diagonals of a parallelogram bisect each other

2x=x+2

x=2

Hence the value of x is 2.

In Euclidean geometry, a parallelogram is a simple (non-self-intersecting) quadrilateral with two pairs of parallel sides. Opposite or opposite sides of a parallelogram have equal lengths, and opposite angles of a parallelogram are equal. The congruence of opposite and opposite angles is a direct consequence of the Euclidean parallel postulate, the Euclidean parallelism The condition cannot be proved without resorting to the line postulate or one of its equivalent formulations.

A parallelogram with base b and height h can be divided into trapezoids and right triangles and converted into rectangles as shown in the left figure. This means that the area of ​​a parallelogram is equal to the area of ​​a rectangle with the same base and height.

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Answer:

Step-by-step explanation:

Cluster means group of dots.  Put a circle around those groups of dots that are close to each other.  

Outlier means the dot that is not near cluster.  Circle that 1 dot for outlier

Answer: 20, 16, 45

Step-by-step explanation:

I'm not sure if we can use the number 20 but anyways here it is!

Factors:A factor is simply a number that is multiplied to get a product. Factoring a number means taking the number apart to find its factors.Factors are either composite numbers or prime numbers. A prime number has only two factors, one and itself, so it cannot be divided evenly by any other numbers.

I hope this helps!!

Answer:

lol why is this posted in mathematics

Answer:

1/10

Step-by-step explanation:

P(blue picked) = 8/20 = 2/5

P(green picked with replacement) = 5/20 = 1/4

P(blue, then green) = (2/5)(1/4) = 1/10

The change of basis matrix from B to C is given by P = [-1, 1, 1; 1, 1, 0; 1, 0, 1], and the change of basis matrix from C to B is given by Q = [1, 0, 0; 1, 1, 0; 0, 1, 1].

In your case, we have the vector space V = R2[x] (the set of all polynomials of degree at most 2), and we are given two bases: B = {1, x, x²} and C = {1 + x, x + x², x² + 1}. The change of basis matrix allows us to transform vectors from one basis to another.

To find the change of basis matrix from B to C, we need to express the basis vectors of B in terms of the basis C. Let's denote the change of basis matrix from B to C as P.

To find the first column of P, we need to express the first basis vector of B, which is 1, in terms of the basis C. We can write:

1 = a(1 + x) + b(x + x²) + c(x² + 1),

where a, b, and c are coefficients to be determined. Expanding the right side and matching the coefficients of corresponding powers of x, we get:

1 = (a + b + c) + (a + b)x + (b + c)x².

This gives us a system of equations:

a + b + c = 1,

a + b = 0,

b + c = 0.

Solving this system, we find a = -1, b = 1, and c = 1. Therefore, the first column of P is given by [-1, 1, 1].

Similarly, we can find the second and third columns of P by expressing x and x² in terms of the basis C. The second column is [1, 1, 0] and the third column is [1, 0, 1].

Thus, the change of basis matrix from B to C, P, is:

P = [-1, 1, 1;

1, 1, 0;

1, 0, 1],

where each semicolon represents a new row.

To find the change of basis matrix from C to B, we need to express the basis vectors of C in terms of the basis B. Let's denote the change of basis matrix from C to B as Q.

To find the first column of Q, we need to express the first basis vector of C, which is 1 + x, in terms of the basis B. We can write:

1 + x = a(1) + b(x) + c(x²),

where a, b, and c are coefficients to be determined. Matching the coefficients of corresponding powers of x, we get:

1 = a,

1 = b,

0 = c.

Therefore, the first column of Q is [1, 1, 0].

Similarly, we can find the second and third columns of Q by expressing x + x² and x² + 1 in terms of the basis B. The second column is [0, 1, 1] and the third column is [0, 0, 1].

Thus, the change of basis matrix from C to B, Q, is:

Q = [1, 0, 0;

1, 1, 0;

0, 1, 1],

Regenerate re

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To decrease the width of the confidence interval, the researcher can take the following steps:

1. Decrease the confidence level: The confidence interval width is inversely proportional to the confidence level. By decreasing the confidence level, the researcher can have a narrower interval. However, it is important to note that decreasing the confidence level also increases the chance of the interval not capturing the true population mean.

2. Increase the sample size: The sample size affects the precision of the estimate. Increasing the sample size reduces the standard error, which leads to a narrower confidence interval. This is because a larger sample provides more information about the population.

Therefore, the researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a narrower interval, providing a more precise estimate of the mean fat content of hen's eggs.

The researcher can decrease the width of the confidence interval by either decreasing the confidence level or increasing the sample size. Both approaches will result in a more precise estimate of the mean fat content of hen's eggs.

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Given,

\( - 2.75p = - 19.25\)

\(p = \frac{ - 19.25}{ - 2.75} \)

\(p = \frac{19.25}{2.75} \)

\(p = 7\)

In the given problem, we calculated the price of a bond with a $1,000 face value, a $50 annual coupon, and six years to maturity when the interest rate is 4%. The price of the bond was found to be $1,160.79.

The calculation of the price of the bond can be done using the following formula:

Price = (Annual Coupon Payment / Interest Rate) x (1 - 1 / (1 + Interest Rate) ^ Years to Maturity) + Face Value / (1 + Interest Rate) ^ Years to Maturity.

The annual coupon payment is $50, the interest rate is 4% or 0.040 and the face value is $1,000. Therefore, the price of the bond is given as:Price = ($50 / 0.040) x (1 - 1 / (1 + 0.040) ^ 6) + $1,000 / (1 + 0.040) ^ 6Price = ($1,250) x (1 - 1 / 1.281) + $747.26Price = $1,160.79.

Therefore, the price of the bond is $1,160.79. The bond offers an annual coupon of $50 and has a face value of $1,000. It has six years to maturity and the interest rate is 4%.

Using the bond pricing formula, we can calculate that the price of the bond is $1,160.79.

In finance, a bond is a type of debt security in which the issuer owes the holders a debt and is obliged to pay interest or repay the principal at a later date, known as maturity.

A bond can be issued by a company, municipality, or government entity as a means of raising capital. The price of a bond is determined by several factors, including its face value, coupon rate, and interest rate.

In the given problem, we are asked to calculate the price of a bond with a $1,000 face value, a $50 annual coupon, and six years to maturity when the interest rate is 4%.

Using the bond pricing formula, we found that the price of the bond is $1,160.79.

This means that if an investor were to buy the bond for this price, they would receive the annual coupon payments of $50 for the next six years and then receive the face value of $1,000 at maturity.

In conclusion, the price of a bond can be calculated using the bond pricing formula. The price of a bond depends on several factors, including its face value, coupon rate, and interest rate. In the given problem, we calculated the price of a bond with a $1,000 face value, a $50 annual coupon, and six years to maturity when the interest rate is 4%. The price of the bond was found to be $1,160.79.

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In 1260 different ways these trees can be planted in a row.

The selection of objects for their arrangement in a particular order is known as permutation. In permutation, the arrangement order of the selected items is also considered. Permutation can be known as an ordered combination. The selection of items from a collection where the order of the selection is neglected is known as a combination. The formula for permutations is

                                  ⇒ P(n,r) = n! / (n-r)!

Permutations are classified into three types- permutations of n different objects, permutations with repetition and permutations of multiple sets.

When we have 'n' different objects where \(P_{1}, P_{2}\) and \(P_{3}\) among 'n' objects are similar, then the permutations of multiple sets can be given by the formula,

                                  ⇒  \(P = n! / p_{1}! . p_{2}! .....p_{k}!\)       → 1

   where,        n = total number of objects

                      \(p_{1} , p_{2}, .....p_{k}\) = objects in each individual sets

From the given problem,     n = 3(apple) + 4(orange) + 2(fig)

                                              n = 9

                                  \(p_{1}\) = 3, \(p_{2}\) = 4 and \(p_{3}\) = 2

                                  ⇒   P =  9! / 3! . 4! . 2!

                                            =  362880 / 6 . 24 . 2

                                            =  362880 / 288

                                            =  1260

Therefore, we can plant trees in 1260 ways.

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