The point-slope form of a line that has a slope of
of 1
and passes through the point (3, 0) is shown.
y-0 = 2(x - 3)
What is the equation in slope-intercept form?
O y=-x-3
1
12
» Intro

Answer:

The answer is x=18/5

Step-by-step explanation:

how let us try it

-(-2–5x)+(−2)=18

2+5x-2=18

5x=18

x=18/5

Answer:

The perimeter of Elie's vegetable garden is 34 meters.

Step-by-step explanation:

The formula for area is: a=w*l.

A = area

W = width

L = length

If the length is 9 meters, then we know two of the values, the area, and the length. Substitute.

72=w*9

You can divide both sides by 9 to get the width, which is 8 meters.

To find perimeter, we add l+w+l+w, or 2l+2w. Substitute for our values:

2(9)+2(8)=34

The perimeter of Elie's vegetable garden is 34 meters.

Answer:

x = 48°

Step-by-step explanation:

x + x + 84° = 180°

2x = 180° - 84°

2x = 96°

x = 96°/2

x = 48°

Answer:

84+2a=180

2a=180-84

= 96

2a=96/2

=48

So, each angles are 48 degrees.

If my answer is wrong, please inbox me! ≧ω≦

The volume of the rectangular prism is 3359232 cubic centimeters

The length of the cube is given as:

Length, l = 12 cm

The volume of a cube is:

\(V = l^3\)

So, we have:

\(V = 12^3\)

Evaluate

V = 1728

The volume of 1944 cubes is then calculated as:

Volume = 1728 * 1944

Evaluate

Volume = 3359232

Hence, the volume of the rectangular prism is 3359232 cubic centimeters

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There are exactly 1,944 of the 12 cm, or 0.5 foot cubes inside a rectangular prism.  What is the volume of the rectangular prism in cubic centimeters?

Answer:

33.5%

Step-by-step explanation:

The general form of an exponential equation showing decay is;

A = I(1-r)^t

The percentage part is 1-r

Equate this to what we have in the question

1-r = 0.665

r = 1-0.665

r = 0.335

This in percentage is 33.5%

Answer:

Step-by-step explanation:

The X intercept is 1 and the y-intercept is 1 aswell.

Answer:

x intercept: 1

y intercept: 1

Step-by-step explanation:

also, where u wrote quad: IIII, four in roman numerals in IV not IIII

The interquartile range (IQR) of the data in the box plot is 2 to 6.

The interquartile range (IQR) is a statistical measure that represents the range between the first quartile (Q1) and the third quartile (Q3) in a dataset. It provides information about the spread or dispersion of the middle fifty percent of the values in the dataset.

To calculate the IQR, you subtract the first quartile from the third quartile using the formula: IQR = Q3 - Q1. This gives you a measure of the range where the bulk of the values lie.

In some cases, when calculating the IQR for a set of odd numbers, statisticians include the median in both quartiles to divide the dataset into two halves. For example, if we have the numbers 1, 2, 5, 6, 7, 9, 12, 15, 18, 19, 27, some statisticians would break it into two halves, including the median (9) in both halves:

(1, 2, 5, 6, 7, 9), (9, 12, 15, 18, 19, 27)

This allows us to have two halves with an even set of numbers, and then we can follow the steps mentioned earlier to find the IQR.

Let's take an example to find the interquartile range for the Grade Point Average (GPA) using Minitab. Consider the following dataset:

Grade Point Average (GPA): 1(3.2), 1(3.1), 2(3.5), 2(2.0), 3(1.9), 3(4.0), 3(3.9), 4(3.8), 4(2.9), 5(3.9), 5(3.2), 5(3.3), 6(3.4), 6(2.6), 6(2.5), 7(2.0), 7(1.5), 8(4.0), 8(2.0).

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The pair of parent functions that are inverses of each other are the exponential function and the natural logarithm function.

The exponential function is represented by the equation y = a^x, where 'a' is a positive constant. It is a one-to-one function that maps real numbers from the x-axis to positive values on the y-axis.

The natural logarithm function, on the other hand, is the inverse of the exponential function and is represented by the equation y = ln(x). The natural logarithm function is defined only for positive values of x.

When we apply the exponential function to a number x and then apply the natural logarithm function to the result, we get back the original number x.

Similarly, if we apply the natural logarithm function to a number x and then apply the exponential function to the result, we also obtain the original number x. This property of reversing the effect of each other makes the exponential function and the natural logarithm function a pair of inverse functions. They are symmetric about the line y = x, meaning that the graph of one function can be obtained by reflecting the other function across this line.

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Answer:

16 -x= 15

Step-by-step explanation:

Let the sumber be x.

When 16 is decreased by a number, that number is subtracted from 16. The result after the subtraction (the number that appears on the right-hand side of the equal sign) would then be 5.

This can be represented by the equation:

16 -x= 15

To solve for x, we bring all the constants to one side of the equation:

-x= 15 -16

-x= -1

Divide both sides by -1:

x= 1

Answer:

X = 24

Step-by-step explanation:

2x + x + 12 + 96 = 180

combine like terms

3x + 108 = 180

subtract 108

3x = 72

divide by 3

x = 24

Hope this helps. Pls give brainliest.

Answer:

The middle term is negative but should be positive

Step-by-step explanation:

Let's walk through doing it:

\(-3x^2(4x^2 - 5x + 7)\\= -12x^4 + 15x^6 - 21x^2\)

The solution to the initial-value problem is: y = 9/(9 - nπ), where n is an integer.

To solve the initial-value problem, we need to find the function y(x) that satisfies the given differential equation 1 + y²(dy/dx) = 3(1 + y*sin(x)), with the initial condition y(0) = 1.

Let's solve it step by step:

Rearrange the equation to isolate dy/dx:

1 + y²(dy/dx) = 3(1 + ysin(x))

dy/dx = (3(1 + ysin(x)) - 1)/(y²)

Separate variables by multiplying both sides by dx and dividing by (3(1 + ysin(x)) - 1):

dy/(y²) = (dx)/(3(1 + ysin(x)) - 1)

Integrate both sides:

∫(dy/(y²)) = ∫(dx/(3(1 + y*sin(x)) - 1))

The integral of dy/(y²) is -1/y.

The integral of dx/(3(1 + ysin(x)) - 1) is arctan((3ycos(x) - 2)/(1 - 3y*sin(x)))/3.

Therefore, we have:

-1/y = arctan((3ycos(x) - 2)/(1 - 3ysin(x)))/3 + C, where C is the constant of integration.

Solve for y:

Multiply both sides by -y:

1 = -yarctan((3ycos(x) - 2)/(1 - 3ysin(x)))/3 - Cy

Add Cy to both sides:

1 + Cy = -yarctan((3ycos(x) - 2)/(1 - 3y*sin(x)))/3

Multiply both sides by -3:

-3 - 3Cy = yarctan((3ycos(x) - 2)/(1 - 3ysin(x)))

Divide both sides by y:

(-3 - 3Cy)/y = arctan((3ycos(x) - 2)/(1 - 3y*sin(x)))

Take the tangent of both sides to eliminate the arctan:

tan((-3 - 3Cy)/y) = (3ycos(x) - 2)/(1 - 3y*sin(x))

Simplify the left side:

tan((-3 - 3C*y)/y) = tan(-3/y - 3C)

Since the tangent function has a period of π, we can ignore the constant π in tan(-3/y - 3C). Therefore, we have:

-3/y - 3C = nπ, where n is an integer.

Rearrange the equation:

3/y = -nπ - 3C

Solve for y:

y = 3/(-nπ - 3C)

Now, we use the initial condition y(0) = 1 to find the value of the constant C:

y(0) = 3/(-nπ - 3C) = 1

Solve for C:

-nπ - 3C = 3/1

-nπ - 3C = 3

3C = -nπ - 3

C = (-nπ - 3)/3

Therefore, the solution to the initial-value problem is:

y = 3/(-nπ - 3((-nπ - 3)/3))

Simplifying further:

y = 3/(-nπ + nπ + 9)/3

y = 9/(9 - nπ)

where n is an integer.

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Answer:

9

Step-by-step explanation:

Total initially in bookstore = 45

Sold 13copies, remaining copies = 45-13= 32

Sold 23 copies again, remaining copies = 32-23 = 9

Copies left = 9

The given expression (1/2)*5*(a -2b - 3) - (3a + 4) + 2b can be simplified to -(1/2)a - 3b + 23/2, thus, the correct option is the last one.

Here we want to simplify the following expression:

(1/2)*5*(a -2b - 3) - (3a + 4) + 2b

First, expand the first product, then we will get:

(5/2)*a - 5b + 15/2 - 3a + 4 + 2b

Now we need to group like terms, we will get:

a*(5/2 - 3) + b*(-5 + 2) + (15/2 + 4)

-(1/2)a - 3b + 23/2

Then we can see that the correct simplification is the one in the last option.

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Answer:

Step-by-step explanation:

4+2=6

6/2=3

Answer:Faelyn should realize that her work shows that the polynomial is prime.

Explanation:

The only difference between her factors in Step 2 is that the 4 in the first group is negative, while the 4 in the second group is positive.

Rearranging the polynomial to factor it will not change the end result.

Factoring out a negative will make not only one, but both terms, in one of the binomials the opposite sign; this will not make the factors the same.

Factoring only 2x out of the first group will result in having (3x³+4x); this is not the same either.

She should realize that when this happens, her polynomial is prime.

(Don’t ask how I got the answer...- ;-;)

-Eli and Rory

*rory: even though I thought of everything. :I

The correct way of factoring 6x⁴ - 8x² + 3x² + 4 is (6x⁴ - 8x²) + (3x² + 4).

The GCF of two or more than two numbers is the highest number that divides the given two numbers completely.

We also know that distributive property states a(b + c) = ab + ac.

Given, Faelyn grouped the terms and factored the GCF of

6x⁴ - 8x² + 3x² + 4.

Next step she did is,

(6x⁴ - 8x²) + (3x² + 4).

She should have combined the terms like,'

= (6x⁴ + 3x²) + (- 8x² + 4).

As 6, 3 and 8, 4 has GCF together.

= 3x²(2x² + 1) - 4(2x² - 1).

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Answer:

The internship pays $7.5 an hour.

Step-by-step explanation:

From the information given, the equation would indicate that the amount the student earns per hour at the intership for two plus seven would be equal to 22:

2x+7=22

Now, you can solve for x:

2x=22-7

2x=15

x=15/2

x=7.5

According to this, the answer is that the internship pays $7.5 an hour.

Answer:

1. 6084

2. 9261

3. -1

4. 995/364

5. -1/625

Step-by-step explanation:

The distance of 40 lb will be 5ft, according to the question.

What do you mean by distance?

Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

According to the given question,

We have the given information:

The fulcrum be located from the 40 lb.

The weight of bar is 9ft long.

Now, we will calculate the distance,

40x = 50(x-1)

40x = 50x - 50

40x - 50x = -50

-10x = -50

x = 5

Therefore, the required answer is 5ft.

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For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

In the are of math and geometry, a coordinate system is known to be a kind of a system which is known to often uses a lot of numbers or only one to show the  position of any given points.

Note that to be able to design the part to their taste and with the right coordinates, For Eric and Bianca to be able to draw a model of a city park in the coordinate, they can follow the description in the image attached.

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Answer:

Vertex Q has an x-coordinate of 7. To form quadrilateral QRST, vertex T must be 3 units down from vertex Q. Vertex T should be at (7,3) .

Bianca is correct.

Step-by-step explanation:

Hope this helps.

Answer:

here/

Step-by-step explanation:

charges a cost per pound plus a fixed fee to ship a package. the total cost, f(x) ... f(x)=4.99x+5.75. which part of the function represents the fixed fee? 2 ... the cost of items purchased and y represents the total cost of shipping.

2 answers

·

13 votes:

the fixed fee is the part of $5.75

There are default tab stops every one inch on the horizontal ruler is true statement.

In word processing software, there are usually default tab stops set every one inch (or 2.54 cm) on the horizontal ruler. These tab stops are the default positions at which the insertion point will stop when the tab key is pressed.

The purpose of these tab stops is to make it easier to align text in columns or tables. By default, there are left-aligned, centered, right-aligned, decimal-aligned, and bar-aligned tab stops. Users can also add custom tab stops at specific positions on the ruler to suit their formatting needs.

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The asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\) is f(n) ∈ Θ(g(n)). Therefore, the growth rates of f(n) and g(n) are primarily determined by the cubic terms, and they grow at the same rate within a constant factor.

To determine the asymptotic notation relationship between the functions \(f(n) = n^3 (8 + 2 cos 2n)\) and \(g(n) = n^2 + 2n^3 + 3n\), we need to compare their growth rates as n approaches infinity.

Θ (Theta) Notation: f(n) ∈ Θ(g(n)) means that f(n) grows at the same rate as g(n) within a constant factor. In other words, there exists positive constants c1 and c2 such that c1 * g(n) ≤ f(n) ≤ c2 * g(n) for sufficiently large n.

o (Little-o) Notation: f(n) ∈ o(g(n)) means that f(n) grows strictly slower than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) < c * g(n) for all n > n0.

ω (Omega) Notation: f(n) ∈ ω(g(n)) means that f(n) grows strictly faster than g(n). In other words, for any positive constant c, there exists a positive constant n0 such that f(n) > c * g(n) for all n > n0.

Now let's analyze the given functions:

\(f(n) = n^3 (8 + 2 cos 2n)\\g(n) = n^2 + 2n^3 + 3n\)

Since both functions have the same dominant term, we can say that f(n) ∈ Θ(g(n)) because they grow at the same rate within a constant factor. The other notations, o and ω, are not applicable here because neither function grows strictly faster nor slower than the other.

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Answer:

Measure of angle B is 70 degrees

Step-by-step explanation:

If they are both supplementary, it means that add up to be 180 degrees

Thus;

5x + 25 + 3x + 19 = 180

8x + 44 = 180

8x = 136

x = 136/8

x = 17

Measure of angle B will be;

3(17) + 19

= 51 + 19 = 70 degrees

Given Data:

The time taken to compleat one yard is: 1 hour.

The expression to calculate the total yard made in 1/4 hour is,

Answer:

Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

Answer:

Sample Answer: Given bivariate data, first determine which is the independent variable, x, and which is the dependent variable, y. Enter the data pairs into the regression calculator. Substitute the value for one variable into the equation for the regression line produced by the calculator, and then predict the value of the other variable.

Step-by-step explanation:

its from edge

Answer:

1. 41

2. 235

3. 32

4. 48

5. 5

6. 273

7. .06

8. 6.6

9. 6.3

Step-by-step explanation:

Answer:

1=41

2=235

3=32

4=48

5=5

6=273

7=0.06

8=6.6

9=6.3