Look at the rational expression below. x^2-4/2-x Which value of x makes the expression undefined?

Answer:

B. <L=<R  

Step-by-step explanation:

^^^Just too test got 100%

Final answer:

The correct equation to find the length of each of Liam's rectangular plots is x³ + 15x² - 100x - 2,688=0. This cubic equation must be solved to determine the actual length of each plot.

Explanation:

To solve the problem involving Liam's rectangular plots of land, you need to find the length x of each plot. Since the width is 5 yards less than the length, the width is x - 5 yards. With the number of plots being 20 + x, and the total area given as 2,688 square yards, you can set up an equation using the area of a rectangle (length times width) multiplied by the number of plots equal to the total area

The correct equation to determine the length of each plot is as follows:

X (width) × X (length) × (number of plots) = total area

(x) (x - 5) (20 + x) = 2,688

x(x - 5)(x + 20) = 2,688

x³ + 15x² - 100x = 2,688

This simplifies to the equation x³ + 15x² - 100x - 2,688 = 0, which corresponds to option three. Upon solving this cubic equation, you would find the length of each plot. However, the last options are not supported by the given information and should be solved for using the derived equation.

To transport particles that are 15 times as massive as usual in a river, the speed of the river would need to increase to about 4.14 miles per hour, calculated based on a proportionality relationship to the sixth power.

Given the mass of the particles that a river can transport is proportional to the sixth power of the speed of the river, we can express this relationship as m ∝ v6, where m is the mass of the particles and v is the speed of the river. Then, m1/v16 = m2/v26 which is a statement of the proportionality. If a river, with a normal speed of 2 miles per hour (v1), can transport particles of a certain mass (m1), in order to transport particles that are 15 times as massive as usual (m2 = 15m1), we want to find the required speed (v2).

Substituting the known quantities into the proportionality, we get m1/26 = 15m1/v26. Simplifying this equation gives 1/26 = 15/v26.

To solve for v2, you can perform a sixth root operation on both sides of the equation, resulting in v2 = 6√(15*26). By calculating this, the required speed is nearly 4.14 miles per hour.

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Answer:

The measure of MN is 21 inches.

Step-by-step explanation:

It is given that △ABC∼△LMN.

The corresponding sides of two similar triangles are proportional.

[tex]\frac{AB}{LM}=\frac{BC}{MN}[/tex]

[tex]\frac{8}{12}=\frac{14}{MN}[/tex]

[tex]8\times MN=14\times 12[/tex]

Divide both sides by 8.

[tex]MN=\frac{168}{8}[/tex]

[tex]MN=21[/tex]

Therefore we can say that if △ABC∼△LMN, then the measure of MN is 21 inches.

Final answer:

To determine the angle of elevation of the road, we use the tangent ratio of rise (400m) to run (1600m), resulting in an angle of approximately 14 degrees.

Explanation:

To calculate the angle of elevation of the road, we can use trigonometry. Specifically, we'll use the tangent function, which is the ratio of the opposite side to the adjacent side in a right-angled triangle. In this context, the opposite side is the rise, which is 400 meters (the vertical height the road climbs), and the adjacent side is the run, which is the horizontal distance of the road, 1.6 km or 1600 meters.

We can calculate the angle of elevation, ϴ (theta), using the formula:

tangent(ϴ) = opposite/adjacent

tangent(ϴ) = 400/1600

ϴ = arctangent(400/1600)

ϴ = arctangent(0.25)

After calculating arctangent(0.25), we find the angle of elevation is approximately 14 degrees.

Answer: D.    693.55 yd3

Step-by-step explanation:

Given: The diameter of the composite solid = 8.7 yards

Then , the radius of the composite solid = [tex]\dfrac{8.7}{2}=4.35\ \text{yards}[/tex]

Height of cylinder = 9 yards

Height of cone = 8 yards

The volume of cylinder is given by :-

[tex]V_1=\pi r^2h\\\\\Rightarrow V_1=(3.14159265359)(4.35)^2(9)\\\\\Rightarrow V_1=535.021082888{ yards}^3[/tex]

The volume of cone is given by :-

[tex]V_2=\dfrac{1}{3}\pi r^2h\\\\\Rightarrow V=\dfrac{1}{3}(3.14159265359)(4.35)^2(8)\\\\\Rightarrow V=158.5247653\text{ yards}^3[/tex]

Now, Volume of the composite figure will be :

[tex]V=V_1+V_2\\\\\Rightarrow\ V=535.021082888+158.5247653\\\\\Rightarrow\ V=693.545848188\approx693.55\text{ yards}^3[/tex]

Answer:

thats to hard

Step-by-step explanation:

get a calculater

Answer:

500 cm by 212.5 cm

Step-by-step explanation:

Using the scale 1:40 on the 200 m dimension, we have 200/40 = 5 m.  Each meter is 100 cm; this makes this 5(100) = 500 cm.

Using the scale on the 85 m dimension, we have 85/40 = 2.125 m.  Each meter is 100 cm; this makes this 2.125(100) = 212.5 cm.

Answer:

500 cm by 212.5 cm

Step-by-step explanation:

Given :

The main arena hall has dimensions 200 m by 85 m.

On a large diagram on the office wall the scale is 1:40.

To Find: What are the dimensions of the floor space

Solution :

Length of arena hall = 200 m

Scale is 1:40

So, the length of the floor = [tex]\frac{200\times 1}{40}[/tex]

                                           =  [tex]5m[/tex]

Since 1 m = 100 cm

So, 5 m = 100*5 = 500 cm

Width of arena hall  = 85 m

So, width of floor = [tex]\frac{85\times 1}{40}[/tex]

                             =  [tex]2.125m[/tex]

Now 1 m = 100 cm

So, 2.125 m = 212.5 cm

Thus the dimensions of floor is 500 cm by 212.5 cm

Three small cookies for $20 is a better buy than one large cookie for $20 because the cost per small cookie is cheaper ($6.67 per small cookie). You get more cookies for the same price.

To determine which offer is the better buy, let's compare the cost in terms of cookies:

Next, let's find the cost per small cookie:

Therefore, since $6.67 per small cookie is less than $20 for 1 large cookie, the offer of three small cookies for $20 is the better buy. This way, you get three cookies for the same price as one large cookie.

Answer: The selling price of a pair of shoes  is $26.46.

Step-by-step explanation:

Given : The wholesale price of a pair of shoes = $24.50

i.e. C.P. = $24.50

Mark up percent = 8% = 0.08 ( To convert a percentage into decimal we divide it by 100)

Formula : S.P. = (Mark up percentage ( in decimal)) x  (C.P.)+ (C.P.)

i.e.

[tex]S.P.=(0.08) \times (24.50)+24.50\\\\\Rightarrow\ S.P.=(0.08+1)(24.50)\\\\\Rightarrow\ S.P.=(1.08)(24.50)\\\\\Rightarrow\ S.P.=26.46[/tex]

Hence, the selling price of a pair of shoes  is $26.46.

Answer:

If your on edu the simple answer is A

Step-by-step explanation:

The article about endangered species is  ³/₂₀ of the cover page

Order of Operations in Mathematics follow this following rule :

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem !

Given:

Total Area of Cover Page = X

Text Section is 3/8 the newspapers cover page

[tex]\texttt{Text Section Area} = \frac{3}{8} \times \texttt{Total Area of Cover Page}[/tex]

[tex]\texttt{Text Section Area} = \boxed {\frac{3}{8}X}[/tex]

The rest of cover page is Photographs Section

[tex]\texttt{Photographs Section Area} = (1 - \frac{3}{8}) \times \texttt{Total Area of Cover Page}[/tex]

[tex]\texttt{Photographs Section Area} = \boxed {\frac{5}{8}X}[/tex]

2/5 of the text is an article about endangered species.

[tex]\texttt{Endangered Species Article Section Area} = \frac{2}{5} \times \texttt{Text Section Area}[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{2}{5} \times \frac{3}{8}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{2 \times 3}{5 \times 8}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{6}{40}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \frac{6 \div 2}{40 \div 2}X[/tex]

[tex]\texttt{Endangered Species Article Section Area} = \boxed {\frac{3}{20}X}[/tex]

Grade: Middle School

Subject: Mathematics

Chapter: Percentage

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

Answer:

Its C

Step-by-step explanation:

It is C because you can only load 78 more passengers

Answer:

c

Step-by-step explanation:

If p = the number of passengers that can still load the plane, then p + 40 ≤ 118.

Therefore,

p + 40 ≤ 118

p + 40 − 40 ≤ 118 − 40

p ≤ 78

The  correct ordered pairs are (-2, 6)

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Parts of an Equation

There are different parts of an equation which include coefficients, variables, operators, constants, terms, expressions, and an equal to sign. When we write an equation, it is mandatory to have an "=" sign, and terms on both sides. Both sides should be equal to each other. An equation doesn't need to have multiple terms on either of the sides, having variables, and operators.

An equation can be formed without these as well, for example, 5 + 10 = 15. This is an arithmetic equation with no variables.

Given:

x + 1/2 y = 1

Now, we will take the ordered pairs (-2, 6)

So, substitute x= -2 and y= 6 in the given equation we get

x+ 1/2y

=-2 + 1/2(6)

=-2 + 3

=+1

Hence, the correct ordered pairs are (-2, 6)

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