(6x + 1)(5x + 8) help please

In linear equation, $869,776  will her total payment for the home be .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

You have to use the number in the intersection of the row for 5.25% interest and the column for 20 years.

The number is $6.74.

That means that, for every $1,000 borrowed for 20 years at 5.25% interest you will pay $6.74 every month.

2. Amount borrowed

You will make a 22% down payment:

Thus the amount borrowed is $426,000 - $93,720 = $332,280

3. Monthly payment

Multiply the monthly payment per 1,000 by the amount borrowed divided by 1,000:

4. Total monthly payments:

Multiply the number of payments by the monthly payment.

Number of payments = 20 years × 12 payments /year = 240 payments.

5. Total payment for the home.

The total payment for the home will be the down payment plus the amount paid to the bank:

$322,280 + $537,496 = $869,776

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Answer:

$51.

Step-by-step explanation:

15% of $60 is $9, so the difference of the jacket price and the discount she gets from the credit card is $51.

Answer:

1) 59

2) 31

3) 59

4) 31

5) 31

6) 59

7) 118

8) 62

9) 62

10) 118

11) 31

Step-by-step explanation:

The angle marked 59 degrees is congruent to angles 1, 3, and 6. The angle marked 59 + angle 11 is 90 degrees because the shape is a rectangle, so 90-59=31. Angle 11 is congruent to angles 2, 4, and 5. Now that we know that the triangle on the left has two angles of 59 degrees and that the angle measures of a triangle add to 180, 59+59=118 and 180-118=62, so angle 9 is 62 degrees. Angles 8 and 9 are vertical angles and therefore are congruent. To find angles 10 and 7, we can use the same method: angles 4 and 5 are both 31 degrees, 31+31=62, so we subtract 62 from 180 to get 118. Angles 7 and 10 are also vertical angles, so they are both 118 degrees. I hope this helps!

Answer:

45.86 ft²

Step-by-step explanation:

Circumference of a circle = 2 * pi * r

Circumference = 24

24 = 2 * 3.14 * r

24 = 6.28r

r = 24 / 6.28

r = 3.8216 ft

Approximate area of garden :

Area of circle :

pi * r^2

Area = 3.14 * 3.8216^2

Area = 45.8585273984

Area = 45.86 ft²

The probability that the student chosen will be a boy who watched tennis yesterday is 1/8.

Given that 56 students were asked if they watched tennis yesterday, 20 of the students are boys, 17 girls watched tennis yesterday and 32 students did not watch tennis yesterday and out of all these one students is to be chosen at random.

We have to find the probability that the student chosen will be a boy who watched tennis yesterday.

Total number of students is 56.

The total number of girls is 56-20=36

Girls who didn't watch tennis is 36-17=19

Number of the boys who did not watch the game is 32-19=13

Number of boys watching a tennis match is 20-13=7

Now, we will find the probability that the student chosen will be a boy who watched tennis yesterday.

Probability=Number of boys watching a tennis match/Total number of students
Probability=7/56

Probability=1/8

Hence, the probability that the student chosen will be a boy who watched tennis yesterday when 56 students were asked if they watched tennis yesterday is 1/8.

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A rock that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge is a(n)  ventifact:

A rock refers to the solid portion of the earth crust which contains minerals. There are three types of rocks; The sedimentary rock: They are formed from dead plants, dead animals, sand etc.

The metamorphic rock: They are formed from previously existing rocks. The igneous rock: They are formed from the solidification of the molten magma.

Hence, ventifact are rock  that has been significantly reshaped on multiple surfaces by windborne particles and sometimes has a sharp edge.

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Answer:

Line 4

It is right

By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

Experimental uncertainties refer to the errors or variations that may occur in the process of conducting an experiment. There are several sources of experimental uncertainties that can affect the accuracy of the data, specifically:

1. Instrument uncertainties: These uncertainties arise from the limitations of the instruments used in the experiment. For example, if a measuring device has a limited resolution or if it is not properly calibrated, it can lead to inaccuracies in the measurements.

2. Operator uncertainties: These uncertainties arise from the variations in the way different people conduct the experiment. For example, if different people are measuring the same quantity, they may have different techniques, which can lead to variations in the measurements.

3. Environmental uncertainties: These uncertainties arise from the variations in the environment in which the experiment is conducted. For example, if the temperature or pressure of the environment changes during the experiment, it can affect the measurements.

Each of these sources of experimental uncertainties can affect the accuracy of the data by introducing errors or variations in the measurements. By identifying and minimizing these uncertainties, it is possible to improve the accuracy of the data and obtain more reliable results.

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The minimum surface area of the plastic wrapper would be 16191 square millimeters.

To calculate the minimum surface area of the plastic wrapper for a roll of quarters, the dimensions of the cylinder that can hold 40 quarters first needs to be calculated.

The diameter of each quarter is 23.8 mm:

r = 23.8 / 2 = 11.9 mm

The thickness of each quarter is 1.6 mm, so the height of the cylinder, h:

h = 40 × 1.6 mm = 64 mm

The minimum surface area of a cylinder is:

Therefore, the minimum surface area of the plastic wrapper is approximately 16191 square millimeters.

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Answer:

x^2 + 14x + 40.

Step-by-step explanation:

(x+4) (x+10)

= x(x + 10) + 4(x + 10)     ( By the Distributive Law)

= x^2 + 10x + 4x + 40

= x^2 + 14x + 40.

Answer:

x^2+14x+40

Step-by-step explanation:

xx+x*10+4x+4*10= xx+10x+4x+4*10

Then simplify

x^2+14x+40

I hope this helps!

The line passing through the points (-1, -11) and (4, 4) can be represented by the equation y = 3x - 8 in slope-intercept form.

To find the equation, we first calculate the slope using the formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the coordinates (-1, -11) and (4, 4), we get:

slope = (4 - (-11)) / (4 - (-1))

= 15 / 5

= 3

Next, we choose one of the given points, (-1, -11), and substitute it into the slope-intercept form (y = mx + b), along with the slope value:

-11 = 3(-1) + b

Simplifying the equation:

-11 = -3 + b

b = -11 + 3

b = -8

Finally, substituting the value of the y-intercept (b) into the slope-intercept form, we obtain the equation of the line passing through the given points as y = 3x - 8.

The line passing through the points (-2, 12) and (1, -3) can be represented by the equation y = -5x + 2 in slope-intercept form.

Explanation: Similarly, we calculate the slope using the given points:

slope = (y2 - y1) / (x2 - x1)

Substituting the coordinates (-2, 12) and (1, -3):

slope = (-3 - 12) / (1 - (-2))

= -15 / 3

= -5

Choosing one of the points, let's say (-2, 12), we substitute it into the slope-intercept form (y = mx + b):

12 = -5(-2) + b

Simplifying:

12 = 10 + b

b = 12 - 10

b = 2

Finally, substituting the y-intercept (b) into the slope-intercept form, we obtain the equation of the line passing through the given points as y = -5x + 2.

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The angle that satisfies the necessary requirements is  1041° - 2(360°) = 321°. Coterminal angles are those with the same terminal point in the standard position.

To understand, follow the 2 basic steps:

Step 1: Find the specified angle.

Step 2: Finding a coterminal angle.

Tally up or tally down a multiple of 360.

θ = 1041°

Every multiple of 360 degrees added or subtracted results in an angle that is coterminal with the provided angle.

Hence, 1041° - 2(360°) = 321° is an angle that satisfies the necessary requirements.

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Answer:

0.9375

Step-by-step explanation:

A fraction would probably be 15/16

Answer:

0

Step-by-step explanation:

2(n - 1) + 4n = 2 ( 3n - 1 )

2n - 2 + 4n = 6n - 2

6n - 2 = 6n - 2

6n - 6n = -2 + 2

0 = 0

The problem is a long division problem.

The first step is done, which is "Divide 1st term of the dividend by the first term of the divisor to get the first term of the quotient"

The second step is done too, and it is to take the term found in step 1 and multiply it times the divisor, then put the result under the dividend.

The next step is to subtract this line from the line above, it is to subtract 8x^2-28x from 8x^2+6x, which obtains 0+34x.

The next step is to bring down -5 and form the new dividend 34x-5

The convolution integral y(t) = x(t) * h(t) for the given pair of signals x(t) and h(t) can be computed as follows:

y(t) = ∫[x(τ) * h(t - τ)] dτ

1) x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1)

The convolution integral becomes:

y(t) = ∫[δ(τ) * δ(t - τ - 2) * (τ - 1)] dτ

To evaluate this integral, we consider the properties of the Dirac delta function. When the argument of the Dirac delta function is not zero, the integral evaluates to zero. Therefore, the integral simplifies to:

y(t) = δ(t - 2) * (t - 1)

The convolution result y(t) is equal to the shifted impulse response h(t - 2) scaled by the factor of (t - 1). This means that the output y(t) will be a shifted and scaled version of the impulse response h(t) at t = 2, delayed by 1 unit.

In summary, for x(t) = δ(t) and h(t) = δ(t - 2) * (t - 1), the convolution integral y(t) = x(t) * h(t) simplifies to y(t) = δ(t - 2) * (t - 1).

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False, Solver does not always find the best possible solution among all feasible options when solving a linear optimization model with the Simplex LP Method.

The Simplex LP Method is an iterative algorithm used to solve linear programming problems. While the Simplex algorithm is guaranteed to converge to an optimal solution if one exists, it does not necessarily find the best possible solution among all feasible options.

The Simplex LP Method works by moving from one vertex of the feasible region to another, improving the objective function value at each step until it reaches an optimal solution. However, the feasible region of a linear programming problem can be non-convex, which means there may be multiple local optima. The Simplex algorithm may get stuck at a local optimum and fail to find the global optimum.

In addition, the Simplex algorithm can be sensitive to the initial basis and the choice of pivot rule. Different choices can lead to different optimal solutions. It is possible for the Simplex algorithm to find a locally optimal solution that is not the best possible solution among all feasible options.

Therefore, it is not accurate to say that Solver always finds the best possible solution when using the Simplex LP Method. The result obtained from the Solver should be carefully examined and verified to ensure its optimality.

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The statement is true. If a matrix B can be expressed as B = PDP^T, where P is an invertible matrix and D is a diagonal matrix, then B is a symmetric matrix.

This can be proven as follows:
First, let's take the transpose of B:

B^T = (PDP^T)^T = (P^T)^TD^T P^T

Since D is a diagonal matrix, its transpose is equal to itself:

D^T = D

Therefore, we can substitute D^T with D in the above equation:

B^T = PDP^T = B

Since B is equal to its transpose, it is a symmetric matrix.

In other words, if a matrix B can be diagonalized by an orthogonal matrix P, which means that P^T=P^-1, then B is a symmetric matrix. This is because orthogonal matrices preserve the dot product and the symmetry of a matrix. The diagonal matrix D represents the eigenvalues of B, which can be either positive, negative, or zero. Therefore, if all the eigenvalues of B are non-negative, then B is positive definite, and if they are non-positive, then B is negative definite. If some eigenvalues are positive and some are negative, then B is indefinite.

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Answer:

Zoe is wrong because she added all the dimensions instead of multiplying all the dimensions

Step-by-step explanation:

to find the volume of a rectangular prism the formula is: Multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

here this probally will help

Answer:

5, 3

Step-by-step explanation:

Answer:

\(m=\frac{4}{5}\)

General Formulas and Concepts:

Pre-Alg

Alg I

Step-by-step explanation:

Step 1: Define

Identify points from the graph.

Point (5, 1)

Point (0, -3)

Step 2: Find slope m

Answer:

The slope is:  4/5      

Step-by-step explanation:

To find the graph, find 2 points on the line.

In this case they are (5, 1) and (0, -3)

Using the slope formula:

(y2 - y1)   /  (x2 - x 1)

We get  -4 / -5    which is equal to 4/5

Answer: \(R = \dfrac{E}{I}\)

Given Ohm's formula:

\(E = IR\)

divide both sides by I

\(\dfrac{E}{I} = \dfrac{IR}{I}\)

simplify

\(\dfrac{E}{I} = R\)

Answer:

R = E/I

Step-by-step explanation:

Ohm's Law :- E = IR .

We need to solve for R ,

==> E = IR

Divide both the sides by I ,

==> E/I = IR/I

simplify,

==> E/I = R

Hence the required answer is R = E/I

Answer:

A pint of veggies is approximately $1.75

Step-by-step explanation:

(7 × 2.85) + 5v = 28.70. 19.95 + 5v = 28.70. 5v = 28.70 - 19.95. 5v = 8.75. v = 8.75/5. v = 1.75

Hope this helps!!

Answer:

C

Step-by-step explanation:

The limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 can be found using L'Hôpital's rule.

Using L'Hôpital's rule, we differentiate the numerator and denominator with respect to x:

Numerator: (e^x - (-e^(-x)))' = (e^x + e^(-x))

Denominator: (e^x - x - 1)'

Taking the limit as x approaches 0 of the derivatives, we get:

lim x→0 (e^x + e^(-x))/(e^x - 1)

Now, substituting x = 0 into the expression, we get:

(e^0 + e^(-0))/(e^0 - 1) = (1 + 1)/(1 - 1) = 2/0

The result is an indeterminate form of 2/0, which indicates that L'Hôpital's rule can be applied again.

Differentiating the numerator and denominator once more, we get:

Numerator: (e^x + e^(-x))' = (e^x - e^(-x))

Denominator: (e^x - 1)'

Taking the limit as x approaches 0 of the derivatives, we have:

lim x→0 (e^x - e^(-x))/(e^x) = (1 - 1)/(1) = 0/1 = 0

Therefore, the limit of (e^x - e^(-x) - 2x)/(e^x - x - 1) as x approaches 0 is 0.

In summary, applying L'Hôpital's rule twice, we find that the limit of the given expression as x approaches 0 is 0.

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Answer:

k=8

Step-by-step explanation:

yes

Answer:

Adult=$6, Student-$6 (I got $6 for both)

Step-by-step explanation:

One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

A mole is a unit of measurement in chemistry that expresses the amount of a substance. It is defined as the number of entities (such as atoms, ions, or molecules) in a sample of the substance. The number of entities in one mole of a substance is known as Avogadro's number.

Avogadro's number is a fundamental constant of physics and chemistry, defined as the number of atoms, ions or molecules in one mole of substance. It is approximately 6.022 x 10^23 and is used in many calculations in chemistry and physics, such as the number of atoms in a sample of an element, the number of ions in a salt, or the number of molecules in a gas sample. The constant is named after Amedeo Avogadro, an Italian scientist who first proposed the concept in 1811.

One mole of a substance is equal to Avogadro's number, which is approximately 6.022 x 10^23.

The mole of H2 (hydrogen gas) is the number of H2 molecules in a sample of hydrogen gas. One mole of H2 contains 6.022 x 10^23 H2 molecules. This can be used to calculate the number of H2 molecules in a given volume or mass of hydrogen gas.

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Answer:

2x - 7

Step-by-step explanation:

The correct statements are,

⇒ Vertical reflection and translation.

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

We have to given that;

Triangles STU and S'T'U' are congruent.

Now, We know that;

Reflection is a type of transformation that flip a shape in mirror line, so that each point is the same distance from the mirror line as its reflected point.

And,  The translated shapes (or the image) appear to be the same size as the original shape, indicating that they are congruent. They've simply shifted in one or more directions.

Hence, The correct statement to Triangles STU and S'T'U' are congruent are,

⇒ Vertical reflection and translation.

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