The width of a rectangle is the length minus 3 units. The area of the rectangle is 28 square units. What is the length, in units, of the rectangle?

Step-by-step explanation:

do brackets first (0.9w+6w-0.7) = 6.9w-0.7

-8+6.9w-0.7-0.3w

-8-0.7=-8.7

6.9w-0.3w=6.6w

=6.6w-8.7 I think

Answer:

a. $682.09

Step-by-step explanation:

We can use the present value formula to find the value of the bond today:

PV = FV / (1 + r)^n

where PV is the present value, FV is the future value, r is the interest rate, and n is the number of periods.

Substituting the given values, we get:

PV = 1000 / (1 + 0.045)^8 = $682.09

Therefore, the bond is worth $682.09 today, which is option (a).

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into.

b) f(5) can be computed -1.5

c) In f(x) = -7/2, x = -3.

A type of function that is defined by multiple sub-functions, each of which is applied to a specific interval or domain of the main function. It is made up of individual pieces, each of which is defined by an equation with a specific domain.

a) To find f(-2), first determine which part of the piecewise function the x-value of -2 falls into. Since -2 is greater than -6 and less than 0, the first part of the piecewise function applies. Thus, f(-2) can be computed as follows:

f(-2) = 1/2(-2) - 2

= -3

b) To find f(5), first determine which part of the piecewise function the x-value of 5 falls into. Since 5 is greater than 0 and less than or equal to 8, the second part of the piecewise function applies. Thus, f(5) can be computed as follows:

f(5) = 1/2(5) - 4

= -1.5

c) To find x when f(x) = -7/2, first determine which part of the piecewise function applies. Since -7/2 is less than 0, the first part of the piecewise function applies. Thus, x can be computed as follows:

-7/2 = 1/2x - 2

x = -4+7

= -3

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Answer: -7

Step-by-step explanation:

in the linear equation, y=mx+b, m represents the slope of the line, so when looking at an equation the best way to find the slope is to find where the m variable would be

Answer:

2 cups of flour

Step-by-step explanation:

We want to find the total amount of flour, which means we need to add.

3/4 + 2/4 + 3/4 =

8/4

We can simplify this term.

8/4 =2

2 cups of flour

Answer:

2 cups of flour

Step-by-step explanation:

A bread recipe has,

3/4 cup of rye flour

2/4 cup of wheat flour

3/4 cup of white flour

So, to find the total amount of flour, add all the given fractions together.

[tex]\sf Total\: amount\: of\: flour = rye \:flour + wheat\: flour + white \:flour\\\\\sf Total\: amount\: of\: flour =\frac{3}{4} +\frac{2}{4} +\frac{3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{3+2+3}{4} \\\\\sf Total\: amount\: of\: flour =\frac{8}{4} \\\\\sf Total\: amount\: of\: flour =2 \:cups[/tex]

Answer:

x = -9

Step-by-step explanation:

To solve for x in this equation, we first need to simplify the right-hand side by distributing the 3:

189 = -6x + (-21x - 54)

Next, we can combine like terms on the right-hand side:

189 = -27x - 54

Adding 54 to both sides:

243 = -27x

Dividing both sides by -27:

x = -9

Therefore, the solution to the equation 189=-6x+3(-7x-18) is x = -9.

Answer:

To solve for x in the equation 189=-6x+3(-7x-18), we can use the following steps:

Distribute the 3 to the terms inside the parentheses:

189 = -6x + (-21x - 54)

Combine like terms on the right side of the equation:

189 = -27x - 54

Add 54 to both sides of the equation:

189 + 54 = -27x

Simplify the left side of the equation:

243 = -27x

Divide both sides by -27:

x = -9

Therefore, x is equal to -9.

Hope This Helps!

Step-by-step explanation:

law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

a,b,c being the sides of the triangle, A, B, C are the corresponding opposite angles in the triangle.

the angle of depression is the external angle of the triangle vertex at the balloon. that means the internal angle is 60°, as both together must be 90° (the angle between the height of the balloon and the horizontal line at the balloon).

the angles at the ground at the fire are mirrored : the internal angle there is 30°, the external angle is 60°.

and so,

height/sin(30) = 150/0.5 = distance/sin(60)

distance = sin(60)×150/0.5 = sin(60)×300 =

= 259.8076211... ft ≈ 260 ft

Answer:

a hard one

Step-by-step explanation:

Answer:

Step-by-step explanation:

just listen to your teacher and you will be good at subjects

Answer:

d ≈ 546 m

Step-by-step explanation:

using the sine ratio in the right triangle

sin35° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{313}{d}[/tex] ( multiply both sides by d )

d × sin35° = 313 ( divide both sides by sin35° )

d = [tex]\frac{313}{sin35}[/tex] ≈ 546 m ( to the nearest whole number )

The equation obtained without the absolute value for given function

y = |x-3| + |x +2|-|x - 5| is y = 2.

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Have a look at these samples.

The given equation:

y = |x-3| + |x +2|-|x - 5|

For x = 3

y = |3-3| + |3+2|-|3 - 5|

y = 0 + |5| - |-3|

Without absolute values:

y = 5 - 3

y = 2

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False.

The slope of a line is given by the formula:

m = (change in y) / (change in x)

where "change in y" represents the vertical change and "change in x" represents the horizontal change between two points on the line.

Using trigonometric ratio and each angle of elevation, the height of the trees are 19 yards and 15 yards

In the given figure, the angle of elevation from the given point are of equal distance between both trees.

distance = 55

distance from one point of the tree = 55/2 = 27.5

using trigonometric ratio;

tan 34 = x / 27.5

x = 27.5 * tan 34

x = 18.5

x≅19 yards

taking the second tree;

tan29 = y / 27.5

y = 27.5 * tan 29

y = 15 yards

the height of the trees are 19 yards and 15 yards

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Step-by-step explanation:

Right cylinder

Solve for surface area

A≈251.33m²

r Radius

4

m

h Height

6

m

Solution

A=2πrh+2πr2=2·π·4·6+2·π·42≈251.32741m²

Answer:

I think 251.33m² is your answer

Step-by-step explanation:

Negative x- coordinates, Negative y- coordinates. So correct option is D.

In geometry, a coordinate plane is divided into four parts by two perpendicular number lines called the x-axis and y-axis. Each of these four parts is called a quadrant. Quadrants are numbered in a counterclockwise direction, starting from the upper right quadrant, which is known as the first quadrant, and continuing through the other three quadrants in order. Each quadrant is defined by a positive and negative value for both the x and y coordinates. The first quadrant, for example, has both positive x and y coordinates. The second quadrant has negative x coordinates and positive y coordinates. The third quadrant has both negative x and y coordinates, while the fourth quadrant has positive x coordinates and negative y coordinates.

Quadrants are commonly used to locate points on a coordinate plane. For example, if a point has a positive x-coordinate and a positive y-coordinate, it would be located in the first quadrant. Conversely, if a point has a negative x-coordinate and a negative y-coordinate, it would be located in the third quadrant.

Quadrants are also used to describe the signs of trigonometric functions. In the first quadrant, all trigonometric functions are positive, while in the second quadrant, only the sine function is positive. In the third quadrant, only the tangent function is positive, and in the fourth quadrant, only the cosine function is positive.

In the mentioned quadrant both x and y coordinates are negative.

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The complete question is:

Answer:

I think its C. sorry if I'm wrong.

[tex]y=-ln(-\frac{x^2}{2}-2x+1)[/tex]

see images for steps.

ask for explanation.

hope this helps,

jeron

:)

takeaways:

remember that y' is dy/dx

separable differentiation  (when you get the side with y with its dy and the side with x with its dx... only possible when multiplying or dividing NO ADDITION OR SUBTRACTION)


key terms:

separable differentiation  (when you get the side with y with its dy and the side with x with its dx... only possible when multiplying or dividing NO ADDITION OR SUBTRACTION)
initial condition   (a point on the graph of y)
general solution (involves the +c)
particular solution (you used initial condition to find the c)

The correct option is- A: (-1/2 , -√3/2) are the coordinates found using the terminal points t = 10pi/3.

On the unit circle, the terminal point. To find any terminal point on the unit circle which start at (1, 0), and determine the angle in degree or radian on the circle that travel counter clockwise whereas if angle is positive as well as clockwise if the angle is negative. The terminal point is the coordinate of the endpoint.

Given values:

t = 10pi/3

convert to degrees

t = 10*pi/3

t = 10*180/3

t = 600 degrees

Find quadrant of 600 degrees.

600 = 360+240

240 comes in III quadrant

Thus,  x-coordinate and y-coordinate are negative

Now,

240° = 180°+ 60°

60° is the angle for which terminal point are to be find.

Let ∅=60°

Consider unit circle

radius r = 1 units

Then,

x = -r*cos ∅

x = -cos 60

x = -(1/2)

And,

y = -r*sin ∅

y = -sin 60

y = -(√3)/2

Thus, the coordinates of the terminal point are found as  (-1/2 , -√3/2) by

t = 10pi/3.

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Answer:

Its d ik becuse im smart and i lernt this in like 2nd grade

Answer: 1/24

Step-by-step explanation:

Multiply the denominator with 6 to divide it into 6 equal parts

= 1/(4•6)

= 1/24

To fill two jars, we need eight cups, as one jar requires four cups, and we are filling up two jars.

If a cup holds 1/4 of a jar, then it would take 4 cups to fill one jar.

To fill two jars, we need to multiply the number of cups required to fill one jar by 2:

4 cups x 2 = 8 cups

Therefore, we need 8 cups to fill two jars.

To understand this concept visually, imagine a jar divided into four equal parts, and each part representing a cup. When you fill up one part or cup, you have filled up 1/4 of the jar. Similarly, when you fill up all four cups, you have filled up one full jar. Therefore, it would take four cups to fill up one jar.

If we want to fill two jars, we would need to repeat the process of filling up four cups for each jar, which would give us a total of eight cups for two jars.

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Therefore , the solution of the given problem of probability comes out to be there is a 0.66 percent chance that an arbitrarily chosen student will be either male or left-handed.

Each of the procedure's criteria-based methods have as their main objective determining the likelihood that a statement is accurate or that an event will take place. Any number from zero to one, where 0 typically represents percentage and 1 typically reflects degree of certainty, can be used to symbolize chance. A probability illustration shows the likelihood that a particular occurrence will occur.

Here,

A student's likelihood of being masculine is 0.6, and their likelihood of being left-handed is 0.1. It is stated that there is a 0.04 percent chance that a pupil is both male and left-handed.

Using the formula for the probability of the union of two events, we can determine the likelihood that an arbitrarily chosen student is either male or left-handed:

=> P(left-handed or male) = P(male) - P(left-handed)(male and left-handed)

Inputting the numbers provided yields:

=> Male or left-handed P(male) = 0.6 + 0.1 - 0.04 P(male) = 0.66

Therefore, there is a 0.66 percent chance that an arbitrarily chosen student will be either male or left-handed.

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Answer:g/2h

Step-by-step explanation:

Answer:

y = -x

Step-by-step explanation:

We can use two points on the line to write the equation.

Using ( 0,0) and (2,-2), we can find the slope.

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

    = ( -2-0)/(2-0)

    = -2/2

    = -1

The y intercept is 0.

y = mx+b where m is the slope and b is the y intercept.

y = -x+0

y = -x

Hexagon - concave, Quadrilateral - Convex, Decagon - concave, Dodecagon - concave.

What is polygon?

A polygon is a 2-dimensional closed shape made up of straight line segments. It is a flat shape with three or more straight sides and angles.

A polygon is a closed plane figure with straight sides, defined by three or more line segments that meet at points called vertices. The sides of a polygon do not cross each other, and the angles between adjacent sides are called interior angles.

The classification of polygons is based on the number of sides they have. For example, a polygon with three sides is called a triangle, a polygon with four sides is called a quadrilateral, and so on.

Polygons can also be classified as either convex or concave. A convex polygon has all its interior angles less than 180 degrees, meaning that all its corners point outwards. In contrast, a concave polygon has one or more interior angles greater than 180 degrees, which means that at least one of its corners points inwards.

The classification of a polygon by its number of sides and whether it is convex or concave can help us to identify and describe its properties and characteristics.

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The answer of A is The point (-2,2) is included in the graph of g(x) regardless of the value of b and c.The answer of B the point (2,2) would be transformed to the point (2,1) on the graph of h(x).

What is graph?

A graph is a visual representation of data, functions, or relationships between variables. It is a way of displaying information in a way that is easy to interpret and understand. Graphs typically consist of two axes, the x-axis and y-axis, and points or lines plotted on the graph to represent the data or function being displayed.

There are many different types of graphs, including line graphs, bar graphs, pie charts, scatter plots, and more. Each type of graph is used for different purposes and can display different types of data.

Graphs are commonly used in many fields, including science, economics, finance, engineering, and more. They allow researchers and analysts to easily visualize data and identify trends or patterns, making it easier to draw conclusions and make informed decisions based on the data.

A. To include the point (-2,2), we need to shift the graph of f(x) two units to the right and two units upwards. So we have:

g(x) = a f(x - (-2)) + 2

g(x) = a f(x + 2) + 2

Now we need to find the value of "a". Since the point (3,4) on the graph of f(x) is mapped to the point (2,2) on the graph of g(x), we have:

g(3) = a f(3 + 2) + 2 = 2

4a + 2 = 2

4a = 0

a = 0

Therefore, the function g(x) is:

g(x) = 0 f(x + 2) + 2

g(x) = 2

So the point (-2,2) is included in the graph of g(x) regardless of the value of b and c.

B. The function h(x) is a linear function with slope 2 and y-intercept -1. To find where the point (2,2) would end up after the transformations, we plug in x=2 into h(x) and get:

h(2) = 2(2+1)-3 = 1

So the point (2,2) would be transformed to the point (2,1) on the graph of h(x).

The transformations made to f(x) to obtain h(x) are a horizontal shift to the left by one unit (x+1), a vertical stretch by a factor of 2 (2(x+1)), and a vertical shift downwards by three units (-3).

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After solving the given equation 3x+7y=11 we know that (A) (6, -1)  lies on the graph of the given equation.

A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

A mathematical equation is a statement that two amounts or values are equal, such as 6 x 4 = 12 x 2. 2.

A noun that counts.

When two or more components must be taken into account collectively in order to comprehend or describe the overall situation, this is known as an equation.

So, we are asked to identify the point on its graph.

(6, -1)

Adding "x=6" and "y=-1"

3x+7y=3×6+7×(-1)

= 18-7

= 11

Thus, on the graph of 3x+7y=11, (6, -1) is located.

(1,-2)

X = 1 and Y = -2

3x+7y=3×1+7×(-2)

= 3-14

= -11

As a result, the graph of 3x+7y=11 does not contain (1, -2)

(0,-4)

X = 0 and Y = -4

3x+7y=3×0+7×(-4)

= -28

Hence, the graph of 3x+7y=11 does not contain (0, -4)

(0,4)

By setting x=0 and y=4,

3x+7y=3×0+7×4

= 28

In light of this, the graph of 3x+7y=11 does not contain (0, 4)

Therefore, after solving the given equation 3x+7y=11 we know that (A) (6, -1)  lies on the graph of the given equation.

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Complete question:

Which ordered pair is on the graph of equation 3x+7y=11?

a. (6,-1)

b. (1,-2)

c. (0,-4)

d. (0,4)

Answer:

Estimate: $5,000.00

Actual: $6,063.72

Step-by-step explanation:

I would estimate by finding 20 x 250

I know that 10 x 250 would be 2500 and if I double that, I would get 5,000.

Helping in the name of Jesus.