Grant reads as part of his homework each week. he must read for at least 4 hours each week as part of his homework. This past weekend, he reads for 1.5 hours. Grant makes a graph of the inequality 5n +1.5 greater than or equal to 4 to determine all the numbers,n,of hourse he could read on each of the 5 weekdays this week. The graph is shown. Which describes the solution set of the inequality? A. all whole-number values of n that are at least 1 B.all whole-number values of n that are greater than 1 C.all rational-number values of n that are at least 0.5 D.all rational-number values of n that are greater than 0.5

Explanation:

When solving a function, you plug in the given [tex]x[/tex]-value (what's inside the parentheses next to the [tex]g[/tex] or [tex]f[/tex]) into the corresponding equation (what [tex]f(x)[/tex] and [tex]g(x)[/tex] are set equal to).

Before starting the worksheet, take a simpler example:

Given the function [tex]h(x) = x + 2[/tex],

the following work solves for [tex]h(3)[/tex].

[tex]h(3) = 3 + 2[/tex]

[tex]h(3) = 5[/tex]

Essentially, to solve for the value of a function for a given [tex]x[/tex]-value, simply plug in that value in for [tex]x[/tex] and simplify the resulting expression.

Onto problem 14 from the given worksheet:

We are given [tex]f(x) = 3x + 2[/tex] and are asked to solve for [tex]f(4)[/tex].

Hence, all we have to do is plug [tex]4[/tex] in for [tex]x[/tex]:

[tex]f(4) = 3(4) + 2[/tex]

[tex]f(4) = 12 + 2[/tex]

[tex]f(4) = 14[/tex]

You can apply this concept to the rest of the problems.

Answer:

as a factor 2(x-1) this should help or be the correcr answer

Answer:

The fraction 480/840 can be reduced to its lowest terms by dividing the numerator and denominator of the fraction by their greatest (highest) common factor (divisor), gcf (hcf, gcd). This results in a reduced fraction of 4/7.

Step-by-step explanation:

Answer:

X = 20.5

Step-by-step explanation:

Move 3.4 to the other side, then solve for x.

x - 3.4 = 17.1

x = 17.1 + 3.4

x = 20.5

The __main__ is a constructor used in python which can be used to check the name of the top-level environment of the program.

It is contained inside the  __ main __ PY file package.

Example,  __name__ == '__main__' expression.

Python is a programming language which is high level in nature and is mainly used in the field of data science and artificial intelligence . Python is dynamically-typed and garbage-collected. It has a large community of developer and is an upcoming language.

It is easy to learn and evolving language and has a lot of packages and modules which makes it easy to work on it.

It is an interpreted language and a python file is saved using the extension .py .

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Therefore , the solution of the given problem of function comes out to be 4 log2  + 3/4 is the are required.

A science called mathematics studies numbers, its variations, arithmetic and the local tissue, shapes, and both their existing and projected places. The relationship between a group of inputs, which each have a corresponding output, is described by a function. A function is a collection of inputs that together produce a single, recognizable output with each input. A city, municipality, or scope—often referred to as a realm—is assigned to each function. Usually, the letter f is used to represent functions (x). The input has an x in it.

Here,

Given :

=>  f(x) = x.2ˣ

=>A = [tex]\int\limits^2_{-1} x.2^{x}[/tex]dx

=> A = [tex]2^{x} \int\limits^2_{-1} x. + x\int\limits^2_{-1} 2^{x}[/tex]

=>  [ xlog2 + x²/2 +  x²log2 ]₋₁²

=>  log2 + 3/4 + 3log2

=> 4 log2  + 3/4

Therefore , the solution of the given problem of function comes out to be 4 log2  + 3/4 is the are required.

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Answer:

9 days

Step-by-step explanation:

We know

Elizabeth has 214 gallons of milk; she drinks 23 of the quantity each day.

We take

214 / 23 = 9 days

So, she can drink in 9 days

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

A relationship between two expressions or values that is not equal is known as an inequality in mathematics. Inequality follows imbalance, therefore. In mathematics, an inequality makes a connection between two values that are not equal. Egality and inequality are different. Different inequalities are employed to contrast values of all sizes. By changing the two sides until only the variables are left, one can solve many straightforward inequalities. But a variety of factors support inequality: Negative values are split or added on either side. Switch between the left and right.

given

the inequality for x 1/3 x - 3 -1 5/6 must first be resolved.

2 plus 3 on both sides

Simply multiply both sides of 1/3x by 3x31/2,

and then graph x31/2 on a number line.

Turn left and continue past the finish line after starting at 3.5 on the number line. Simply plot x=3 1/2 on a number line.

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The direction cosines of a vector are the cosines of the angles between the vector and the three mutually perpendicular axes of a coordinate system.

The direction cosines of a vector [tex]$\mathbf{a}$[/tex] are denoted by l, m and n. Mathematically, the relation between these direction cosines is given by:

[tex]$$\mathbf{a}=l\mathbf{\hat{i}}+m\mathbf{\hat{j}}+n\mathbf{\hat{k}}$$[/tex]

where i,j and k  are unit vectors along the three axes of the coordinate system.

To calculate the direction cosines of a given vector [tex]$\mathbf{a}$[/tex] with components [tex]$a_x$, $a_y$ and $a_z$[/tex], we can use the following formula:

[tex]$$l = \frac{a_x}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]

[tex]$$m = \frac{a_y}{\sqrt{a_x^2+a_y^2+a_z^2}}$$ \\ $$n = \frac{a_z}{\sqrt{a_x^2+a_y^2+a_z^2}}$$[/tex]

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The value of ES will be;

⇒ ES = 10.63 units

Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.

Given that;

The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Now,

Since, The coordinate of E = (- 3, - 4)

The coordinate of S = (4,  4)

Hence, The value of ES is find as;

⇒ ES = √ (4 - (-3))² + (4 - (-4))²

         = √ 7² + 8²

         = √ 49 + 64

         = √ 113

         = 10.63

Thus, The value of ES = 10.63 units

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The number of coins of nickels and quarters will be 27 and 13, respectively.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

Tanner has $4.60 in nickels and quarters. If he has 14 more nickels than quarters.

Let 'x' be the number of nickels and 'y' be the number of quarters. Then the equations are given as,

x = y + 14                               ....1

0.05x + 0.25y = 4.60             ....2

From equations 1 and 2, then we have

0.05(y + 14) + 0.25y = 1

0.05y + 0.70 + 0.25y = 4.60

0.30y = 3.9

y = 13

Then the value of 'x' is given as,

x = 13 + 14

x = 27

The number of coins of nickels and quarters will be 27 and 13, respectively.

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Answer:

----------------------------

We see two sides and one angle marked as congruent on both triangles.

The congruent angle is not included.

It means we can neither state it is ASA nor SAA as both of these require two congruent angles.

Answer: Since y varies directly as x and inversely as the square root of z, we can write the following equation:

y = kx/(sqrt(z)), where k is a constant.

We can find the value of k by substituting the known values into the equation. We get:

1/6 = k*20/sqrt(6)

k = 1/240

Substituting this value of k into the original equation, we get:

y = (1/240)x/(sqrt(z))

Substituting the values x = 14 and z = 5 into this equation, we get:

y = (1/240)(14)/(sqrt(5)) = 7/120 sqrt(5) ≈ 0.22

Step-by-step explanation:

The distance between town a and b is 175 mi.

A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size.

Given that, a map drawn move to the scale 2 cm : 100 mi. on the map town b is 3.5 centimeters from town a and town c is 2 centimeters past town b

Since, 2 cm = 100 mi

1 cm = 50 mi

Therefore, 3.5 cm = 50×3.5 = 175 mi

Hence, the distance between town a and b is 175 mi.

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The area of the windflower garden that is enclosed by a circular fence of 400 yards length is equal to 12732.39 square yards.

The measurement of the circle's perimeter, also known as its circumference, is called the circle's border. It is the length around the border of the circular object or the circle itself.

The formula for calculating the perimeter of a circle is ,

Perimeter/ Circumference of a circle = 2 * pi * r, where pi = 3.14 and r is the radius of the circle.

Taking the given information in the question, i.e circumference of the circular fencing wire , i.e C = 400 yards

                                         or , 2 * pi * r = 400

                                         or , r = 400/(2* 3.14)

                                                 r = 63.66 yards

Now the area of the circular fence is given by,

Area = pi * r^2

Area = 3.14 * 63.66^2

Area = 12732.39 square yards

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Step-by-step explanation:

(1). x-intercept: Put y = 0 in the equation y = 2x - 6 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for y. The y-intercept is -6.

(2). x-intercept: Put y = 0 in the equation y = x - 7 and solve for x. The x-intercept is 7.

y-intercept: Put x = 0 in the equation y = x - 7 and solve for y. The y-intercept is -7

(3). x-intercept: Put y = 0 in the equation y = (3/2)x - 9 and solve for x. The x-intercept is -6.

y-intercept: Put x = 0 in the equation y = (3/2)x -9 and solve for y. The y-intercept is -9.

(4). x-intercept: Put y = 0 in the equation y = (-1/4)x + 1 and solve for x. The x-intercept is -4.

y-intercept: Put x = 0 in the equation y = (-1/4)x + 1 and solve for y. The y-intercept is 1.

(5). x-intercept: Put y = 0 in the equation -x + y = -5 and solve for x. The x-intercept is 5.

y-intercept: Put x = 0 in the equation -x + y = -5 and solve for y. The y-intercept is -5.

(6). x-intercept: Put y = 0 in the equation x + 2y = -14 and solve for x. The x-intercept is -14.

y-intercept: Put x = 0 in the equation x + 2y = -14 and solve for y. The y-intercept is -7.

(7). x-intercept: Put y = 0 in the equation 3x - y = -3 and solve for x. The x-intercept is -1.

y-intercept: Put x = 0 in the equation 3x - y = -3 and solve for y. The y-intercept is 3.

(8). x-intercept: Put y = 0 in the equation 5x + 3y = 15 and solve for x. The x-intercept is 3.

y-intercept: Put x = 0 in the equation 5x + 3y = 15 and solve for y. The y-intercept is 5.

The increase was 250% over the original price.

percentage, a relative value indicating hundredth parts of any quantity.

let 'x' represent the original price, then 'x+0.25x' represents the first increase of 25%

six times greater, converted to a percentage:

(x+0.25x)×2×100 a second increase of six-fold

1.25x×2×100

250

The increase was 250% over the original price.

Hence, the increase was 250% over the original price.

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By using the conversion factor: 1 km/h = 0.277778 m/s, we get 12 meter per second is equal to 43.2 km/h.

Velocity is a vector quantity that represents the rate of change of an object's position. It is defined as the displacement of an object divided by the time it takes for that displacement to occur. In other words, velocity tells you how fast an object is moving in a certain direction.

The standard unit for velocity is meters per second (m/s) or kilometers per hour (km/h) in the International System of Units (SI). In imperial system of units, it is expressed in feet per second (ft/s) or miles per hour (mph).

The formula for velocity is:

velocity = displacement / time

To convert 12 m/s to km/h, you can multiply 12 by the conversion factor:

12 m/s * (1 km/h / 0.277778 m/s) = 43.2 km/h

So 12 meters per second is equal to 43.2 kilometers per hour.

Another way to do the conversion is by applying the formula :

Speed (km/h) = Speed (m/s) x 3.6

12 x 3.6 = 43.2

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Answer:

infinity/undefined (both are acceptable)

Undefined is actually the best answer in college but your answer key might put it as infinity.

Step-by-step explanation:

Observe that the x coordinates of the two points are exactly the same at 12.

This reduces the possibility of the line being a horizontal or a vertical line.

Imagine, if x coordinates is always the same, it means that you are only varying y and that happens when you move up and down the graph.

Hence, the line is a straight vertical line. (Line equation: x = 12)

Gradient/Slope of a vertical line = infinity/undefined.

The slope of the given line is Undefined

The slope of the line when two points in the line is given is given by

m=(y₂-y₁)/(x₂-x₁)

The points are (12,0) and (12,9)

m=(9-0)/(12-12)

  = 9/0

  =Undefined

The slope of the line is Undefined

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The exponential equation that matches the number of zombies after 6 hours is the possible option;

Z = 14 × 4⁶

An exponential equation is one in which the argument is an index or power of a constant.

The initial number in the group of zombies = 14

The amount by which the group increases every hour = The group quadruples every hour

The required equation; The equation that matches the number of zombies after 6 hours

The information in the question indicates that the sequence is a exponential, which can be presented using the following equation;

Z = a·rⁿ

Where;

Z = The number of zombies after n hours

a = The first term = The initial number of zombies in the group = 14

r = The common ratio = The amount that multiplies members of the group every hour = 4

n = The number of hours after which the number in the group is evaluated

Therefore, after 6 hours, n = 6, and we get;

a₆ = 14 × 4⁶ = 14 × 4⁵ = 14336

The equation from the possible options, obtained from a similar question posted online, that matches the number of zombies after 6 hours is therefore;

Z = 14 × 4⁶

The possible options are;

Z = 4·(14)⁶

Z = 4·(1 + 14)⁶

Z = 14·(1 + 4)⁶

Z = 14·(4)⁶

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Answer: 7.785,7.476,7.293,8.37.7.9

Step-by-step explanation:

The XYZ coordinates are read as x-axis, y-axis and z-axis respectively.

Here we know that the x-axis is the horizontal line along which the wall to your left and the floor intersect where as the y-axis is the horizontal line along which the wall to your right and the floor intersect and the z-axis is the vertical line along which the walls intersect.

Here we also know that x-coordinate is measured along the east west axis, the y-coordinate is measured along the north south axis, and the z-coordinate measures height or elevation.

And it is used for a three-dimensional structure where the x-axis and y-axis represent the first two dimensions and the z-axis is the third dimension.

And in a graphic image, the axes x and y denote width and height and the z denotes depth.

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O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

A connection between two expressions or values that is not equal in mathematics is referred to as an inequality. Inequality results from an imbalance, thus. In mathematics, an inequality establishes the relationship between two values that are not equal. Egality is not the same as inequality. Use the not equal symbol () in most cases when two values are not equal. To contrast values, whether they are tiny or huge, different inequalities are employed. By adjusting both sides until just the variables are left, you may eliminate many straightforward inequalities. However, several factors cause inequality: Divide or add negative values on both sides. Switch the left and right.

A disparity is presented to us.

[tex]y+4\leq 0[/tex]

The answer to the inequality must be discovered.

For each side of the inequality, deduct 4

y +4 - 4 ≤ 0 - 4

y ≤ -4

y ∈ ( - ∞ , - 4 ]

As a result, the solution set for the given inequality is provided by y (- , - 4].

O(-, -28] is the formula for resolving the inequality +4 = 0. Inequality is the state of having a connection between two expressions or values that is not equal to them.

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Answer:

+4

Step-by-step explanation:

if x is your number, then x+4 is four more than

Answer:

Answer Below

Step-by-step explanation:

The phrase "4 more than" means 4 has been added onto a number. Eg:"Sue has 4 more sweets than Ann, means that however many sweets Ann has, Sue's number is bigger by 4.

Answer:

-8 , (0, -8)

Step-by-step explanation:

The y-intercept of a line is where a line intersects the y-axis, or the vertical axis.

Referring to the picture given, the y-intercept is -8 with the coordinates (0, -8)

Answer:

The vertex is (1,-9)

The y intercept is (0, -8)

Step-by-step explanation:

This is a parabola.  The vertex is the low point since the parabola is opening upwards.

The vertex is (1,-9)

The y intercept is where it crosses the y axis.  The y intercept is (0, -8)

Given: Two triangle AGHI AJKL.

To find: measure of side JK and round the answer nearest tenth.

Solution: from figure

IH=5, GH=8,LK=16 from similarity rule

IH/LK=GH/JK

5/16 = 8/x

⇒5x=16x8

x=16×8/5

⇒x=25.6 or

x= 26 (nearest tenth), this is side JK

A triangle is a type of polygon, which has three sides, and the two sides are joined end to end is called the vertex of the triangle. An angle is formed between two sides. This is one of the important parts of geometry.

Some major concepts, such as Pythagoras theorem and trigonometry, are dependent on triangle properties. A triangle has different types based on its angles and sides.

Triangle is a closed two-dimensional shape. It is a three-sided polygon. All sides are made of straight lines. The point where two straight lines join is the vertex. Hence, the triangle has three vertices. Each vertex forms an angle.

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(a) He made $382.05. This was the amount of money he made from the stock.

(b) The investment yielded a 96.40% return.

How can I find out how much I made and what my investment returned?

The amount of money made is calculated by dividing the price at which the stock was sold by the price at which it was purchased. If this figure is negative, money was lost; if positive, money was made.

Tori lost money when she purchased one share of Macy's stock on November 1, 2016, for $33.38 and then sold it for $5.09 on that same day's closing price.

= $5.09 - $33.38

= -$28.29

Her rate of return will be:

= -28.29/33.38 × 100

= -84.75%

The amount he made with the stock is indicated below taking into account the values of the problem:

778.38 - 396.33 = $382.05.

The return on the investment is given by the amount earned/lost divided by the initial value, and multiplied by 100% to obtain the value as a percentage, hence it is of:

382.05/396.33 x 100% = 96.40%.

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Answer:

75 of his weight is water

Step-by-step explanation:

3/4 * 100

3 * 100/4

3 *25

The answer is 75

Answer: 75 pounds

Step-by-step explanation: yous start by dividing the students weight into fourths. One-hundred divided by four is 25. But we need to find three fourths so ties 25 by three you get 75

                                                                                -Damien Kubinec