I know there is a lot but help me if you can.

The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.

The point-slope form of a linear equation is given by:

y - y1 = m(x - x1)

where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.

Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:

y - 3 = 1(x - (-1))

Simplifying:

y - 3 = x + 1

Now, we can rewrite the equation in the standard form:

y = x + 4

Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.

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Answer:

if m is supposed to be the equals (=) sign then x = 25

Step-by-step explanation:

45 = (2x-5)

+5         +5

50 = (2x)

÷2     ÷2

25 = x

Answer: 70

Step-by-step explanation:

Using lexicographic ordering of 4-sets, the two correct inequalities are {2,1,4,5}<{1,16,67,4} {1,5,7,8}<{1,6,67,8}

Lexicographic ordering, also known as a dictionary or alphabetical order, is a method of comparing sequences of elements. In this case, we are comparing 4-sets. When comparing two sets, we start by comparing the first elements of each set. If they are equal, we proceed to compare the second element, and so on until we find a pair of elements that are different. The set with the smaller element at that position is considered smaller in lexicographic order.

1. In the first inequality, {2,1,4,5}<{1,16,67,4}, we can see that the first element of the first set (2) is greater than the first element of the second set (1). Therefore, the second set is smaller in lexicographic order, making the inequality correct.

2. In the second inequality, {1,5,7,8}<{1,6,67,8}, the first elements are equal (1). So, we proceed to compare the second elements. The second element of the first set (5) is smaller than the second element of the second set (6), so the first set is smaller in lexicographic order, making the inequality correct.

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The polynomial to fill in the blank is -2x - 4

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

(x+2)x =x2-4

Express properly

So, we have

(x+2)x = x² - 4

Represent the blank with a variable, y

This gives

(x+2)x + y = x² - 4

When the brackets are opened, we have

x² + 2x + y = x² - 4

Evaluate the like terms

2x + y = - 4

Lastly, we have

y = -2x - 4

Hence, the polynomial is -2x - 4

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The functions are defined as follows:

1) y = x² - 3x.

2) y = x³ - 6x² + 8x.

3) y = x² - 4x + 4.

4) y = x³ - 6x² + 9x.

We are given the roots for each function, hence the factor theorem is used to define the functions.

The function is defined as a product of it's linear factors, if x = a is a root, then x - a is a linear factor of the function.

For item 1, the top left graph, the function has roots at x = 0 and at x = 3, both crossing the graph, meaning that they have odd multiplicity of 1, hence the function is given as follows:

y = x(x - 3).

y = x² - 3x.

For item 2, the bottom left graph, the function has roots at x = 0, x = 2 and at x = 4, all crossing the graph, meaning that they have odd multiplicity of 1, hence the function is given as follows:

y = x(x - 2)(x - 4).

y = x(x² - 6x + 8)

y = x³ - 6x² + 8x.

For item 3, the top right graph, the function has a root of multiplicity 2 at x = 2, as the graph only touches the x-axis, hence the function is defined as follows:

y = (x - 2)².

y = x² - 4x + 4.

For item 4, the bottom right graph, the function has a root of multiplicity one at x = 0 and a root of multiplicity 2 at x = 3, hence:

y = x(x - 3)²

y = x(x² - 6x + 9)

y = x³ - 6x² + 9x.

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Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

15x = 15x

or

0 = 0

Step-by-step explanation:

21(x + 1) - 6x = 15x + 21

21x + 21 -6x = 15x + 21

21x - 6x = 15x

15x = 15x

or

0 = 0

this equation is always true

Answer:

C

Step-by-step explanation:

For these types of problems, its important that we focus on the base as well as the lengths of the base and any other given lengths.

Here, the net has a base that forms a square with side lengths of 8mm.

So automatically, we can eliminate choices a and d as both have a base that is a triangle rather than a square.

We've also noticed that the base has a length of 8mm

If we look at B and C closely, we can tell that B has base lengths of 10mm while C has base lengths of 8mm.

So C is the correct answer choice.

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a. Apples:  Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons: Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes: The amount of grapes that Lily has is not given

What is arithmetic sequence?

An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.

To make her fruit bowl, Lily needs 2½ times the amount of each fruit she currently has.

a. Apples:

2½ × 4 cups = 10 cups

Therefore, Lily needs 10 cups of apples for her fruit bowl.

b. Watermelons:

2½ × 5-½ cups = (2 × 5 + 1/2) × 5/2 cups = 13-3/4 cups

Therefore, Lily needs 13-3/4 cups of watermelons for her fruit bowl.

c. Grapes:

The amount of grapes that Lily has is not given, so we cannot calculate how much she needs for her fruit bowl.

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1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is: ∠A = 39.6°

3) The length of side x is: x = 39.5 mm

The six trigonometric ratios of a right angle triangle are:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

tan x = opposite/adjacent

cot x = 1/tan x

sec x = 1/cos x

cosec x = 1/sin x

1) The three main trigonometric ratios of the given triangle are:

sin B = 5/9.43

cos B = 8/9.43

tan B = 5/8

2) The measure of angle A is gotten from:

∠A = cos⁻¹ (47/61)

∠A = 39.6°

3) The length of side x using trigonometric ratios is:

21/x = tan 28

x = 21/tan 28

x = 39.5 mm

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The value of e based on the information and the diagram given will be C. 61 degrees.

In Euclidean geometry, an angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.

Angles formed by two rays lie in the plane that contains the rays. Angles are also formed by the intersection of two planes. These are called dihedral angles

It should be noted that since e is on a straight line with 119 degrees, (we know that straight lines are 180 degrees in total), so it’ll be 180 - 119 = 61.

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Considering the definition of exponential function, the value of the car is 11,287.25 dollars.

An exponential function is one in which the independent variable x appears in the exponent and has a constant a as its base. Its expression is:

f(x)= aˣ

Being a a positive real, a > 0, and different from 1, a ≠ 1.

When 0 < a < 1, then the exponential function is a decreasing function and when a > 1, it is an increasing function.

In this case, the value of that car depreciates based on the function f(t)=12,000×\(0.96^{t}\) where t is measured in years after purchase.

After 3/2 years, the value of the car is calculated as:

f(3/2)=12,000×\(0.96^{3/2}\)

Solving:

f(3/2)= 11,287.25

Finally, the value of the car is 11,287.25 dollars.

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The number in an expanded form is 700,000 + 182 + 0.009

The number is given as:

seven hundred thousand one hundred eighty-two and nine thousandths

Next, we split the numbers:

seven hundred thousand = 700,000

one hundred eighty-two = 182

and nine thousandths = 0.009

Next, we add the numbers

700,000 + 182 + 0.009

Hence, the number in an expanded form is 700,000 + 182 + 0.009

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The solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

To solve the expression for r, we must isolate r, as a function of the other variables.

The expression is modeled by:

\(m = \frac{3x}{\pi r^2h}\)

Then, isolating r:

\(mr^2 = \frac{3x}{2\pi}\)

\(r^2 = \frac{3x}{2m\pi}\)

\(r = \sqrt{\frac{3x}{2m\pi}}\)

Thus, the solution of the expression for r is given by:

\(r = \sqrt{\frac{3x}{2m\pi}}\)

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To maximize the volume, of the rectangular prism, the carton should have dimensions of approximately 10.74 inches (length), 10.74 inches (width), and 5.37 inches (height).

Assuming the height of the rectangular prism is h inches.

According to the given information, the length and width of the prism will be twice the height, which means the length is 2h inches and the width is also 2h inches.

The total surface area of the rectangular prism is given by the formula:

Surface Area = 2lw + 2lh + 2wh

Substituting the values, we have:

576 = 2(2h)(2h) + 2(2h)(h) + 2(2h)(h)

576 = 8h² + 4h² + 4h²

576 = 16h² + 4h²

576 = 20²

h² = 576/20

h² = 28.8

h = √28.8

h = 5.37

The height of the prism is approximately 5.37 inches.

The length and width will be twice the height, so the length is approximately 2 * 5.37 = 10.74 inches, and the width is also approximately 2 * 5.37 = 10.74 inches.

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Answer:

e) 1.56%

f) 15.62%

h) 0.879%

g) 11.72%

Step-by-step explanation:

What we will do is solve point by point.

e)  A fair coin lands Heads 6 times in a row?

We have the following:

Total number of possible outcomes = 2 ^ 6 = 64

Number of favorable outcomes = 1

Required probability = 1/64 = 1.56%

f) A fair coin lands Heads 4 times out of 5 flips

We have the following:

Total number of possible outcomes = 2 ^ 5 = 32

Number of favorable outcomes = 5C4

nCr = n! / (r! * (n-r)!)

5C4 = 5! / (4! * (5-4)!) = 5

Required probability = 5/32 = 15.62%

g) he bit string has exactly two 1s, given that the string begins with a 1 if you pick a bit string from the set of all bit strings of length ten?

We have the following:

Total number of possible outcomes = 2 ^ 10 = 1024

Number of ways in which a position excluding the start of the string can be chosen is 9C1

Total number of favorable outcomes = 9C1

9C1 = 9! / (1! * (9-1)!) = 9

Required probability = 9/1024  = 0.879%

h)The bit string has the sum of its digits equal to seven if you pick a bit string from the set of all bit strings of length ten?

We have the following:

Total number of possible outcomes = 2 ^ 10 = 1024

For the sum of the digits to be 7 there has to be 7 ones.

Number of ways in which 7 position can be chosen is 10C7.

Total number of favorable outcomes = 10C7

10C7 = 10! / (7! * (10-7)!) = 120

Required probability = 120/1024 = 11.72%

Answer: 4

Step-by-step explanation:

A correct conclusion based on the passage below is the veterinarian opened the office on the weekend to accommodate the Smiths. Option D. This is further explained below.

Generally, Veterinarian is simply defined as a doctor who specializes in the treatment of animals.

In conclusion, Following the logic of the preceding paragraph, it is reasonable to assume that the veterinarian extended his weekend hours in order to accommodate the Smiths.

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The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.

The inverse statement is false.

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Answer:

12

Step-by-step explanation:

84 divided by 7 because the formula for a triangle is  b x h divided by 2 = area

7 x 12 = 84 divided by 2 = 42

Step-by-step explanation:

8 tenths

is the answer of your question

Hope this helps

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The range of the domain 0. 1, 2, 3, 4, and 5 would be 5.

When the sample maximum and minimum are subtracted, the range of a collection of data is the difference between the greatest and lowest values. It uses the same units as the data to express itself.

The lowest and largest numbers in the set of data are subtracted to determine the range. Here, the numbers are 0 and 5. Thus, after subtraction, you get 5.

The range will be calculated as:-

Range = 5 - 0

Range = 5

Hence, the range will be 5.

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Answer:

1111010101

Step-by-step explanation:

(1101101)2 x (1001)2 I used binary calculator.

Answer:

\(6x^4y^8\sqrt{5x}\)

Step-by-step explanation:

\(\textsf{When $x > 0$ and $y > 0$, we want to find the expression that is equivalent to}\) \(\sqrt{180x^9y^{16}}.\)

\(\textsf{First, apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{180}\sqrt{x^9}\sqrt{y^{16}}\)

\(\textsf{Rewrite $x^9$ as $x^{8+1}$:}\)

\(\sqrt{180}\sqrt{x^{(8+1)}}\sqrt{y^{16}}\)

\(\textsf{Apply the exponent rule:} \quad a^{b+c}=a^b \cdot a^c\)

\(\sqrt{180}\sqrt{x^{8}\cdot x^1}\sqrt{y^{16}}\)

\(\sqrt{180}\sqrt{x^{8}}\sqrt{x}\sqrt{y^{16}}\)

\(\textsf{Apply\:the\:radical\:rule:\:}\sqrt[n]{a^m}=a^{\frac{m}{n}},\:\quad a\geq 0\)

\(\sqrt{180}\;x^{\frac{8}{2}}\sqrt{x}\;y^{\frac{16}{2}}\)

\(\sqrt{180}\;x^4\sqrt{x}\;y^8\)

\(\sqrt{180}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Rewrite $180$ as $(6^2 \cdot 5)$:}\)

\(\sqrt{6^2 \cdot 5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}\)

\(\sqrt{6^2} \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a^2}=a, \quad a \geq 0\)

\(6 \sqrt{5}\sqrt{x}\;x^4\;y^8\)

\(\textsf{Apply the radical rule:} \quad \sqrt{a}\sqrt{b}=\sqrt{ab}\)

\(6 \sqrt{5x}\;x^4\;y^8\)

\(\textsf{Rearrange:}\)

\(6x^4y^8\sqrt{5x}\)

\(\textsf{Therefore, when $x > 0$ and $y > 0$, the expression that is equivalent to}\)

\(\sqrt{180x^9y^{16}}\;\textsf{is}\;\;\boxed{6x^4y^8\sqrt{5x}}\:.\)

The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.

The correct answer choice is option B.

Malcolm's gift card = $50.

Cost Malcolm's car wash per visit = $7

Martha's gift card = $180

Cost Martha's car wash per visit = Difference between gift card balance of first and second visit

= $180 - $160

= $20

How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7

= $13

Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13

The complete question is attached in the diagram.

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Answer:

My age is 13

My brother's age is x+3= 13+3 = 16

My sister's age is x-2=13-2=11

My mother's age is 3(x+3)-1=3(13+3)-1=47

Answer:

70.2 degrees

Step-by-step explanation:

\(\arccos \left(\frac{19}{56}\right)=1.22463\ = \quad \begin{pmatrix}\mathrm{Degrees:}&70.17^{\circ \:}\end{pmatrix}\)

Insurance is a financial service that allows a: C. consumer to share liability with a company.

In Economics, an insurance company can be defined as a business organization (company or firm) that is established to collect premium from all of the insured for losses which may or may not occur, so they can easily use this cash to compensate or indemnify for losses (liabilities) incurred by those having high risk.

In this context, we can reasonably infer and logically deduce that an insurance simply refers to a financial service that is designed and developed to avail a consumer an opportunity or ability to share his or her liabilities with a business organization (company or firm).

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Answer:

C - consumer to share liability with a company.

Step-by-step explanation:

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