what's the leading term and constant of -.5x^5+1.5

Answers

Answer 1

We have the following polynomial:

[tex]-0.5x^5+1.5[/tex]

And we have to determine which is the leading term, and the constant term of that polynomial.

1. To determine that we know that the leading term is that term in the polynomial that contains the highest power of the variable. In this case, the variable is x, and the term with the highest variable is:

[tex]-0.5x^5\rightarrow\text{ This is the leading term}[/tex]

2. To determine the constant term, we have to remember that this term is not associated with the variable, that is, is not a coefficient of the variable. Therefore, the constant term is 1.5.

Hence, in summary, we have that:

[tex]\text{ Leading term: }-0.5x^5[/tex]

And

[tex]\text{ Constant term: }1.5[/tex]


Related Questions

Need help with 3,4,5,and 6 please. I don’t understand it

Answers

4. The triangle has 3 given sides but no angles but we can get the angles using cosine law

[tex]\begin{gathered} \cos R=\frac{t^2+s^2-r^2}{2ts} \\ \cos \text{ R=}\frac{23.7^2+48^2-35^2}{2\times23.7\times48} \\ \cos R=\frac{561.69+2304-1225}{2275.2} \\ \cos R=\frac{1640.69}{2275.2} \\ \cos R=0.7211190225 \\ R=\cos ^{-1}0.7211190225 \\ R=43.8530535482 \\ R=44^{\circ} \end{gathered}[/tex][tex]\begin{gathered} \cos T=\frac{r^2+s^2-t^2}{2rs} \\ \cos T=\frac{35^2+48^2-23.7^2}{2\times35\times48} \\ \cos T=\frac{1225+2304-561.69}{3360} \\ \cos T=\frac{3529-561.69}{3360} \\ \cos T=\frac{2967.31}{3360} \\ \cos T=0.88312797619 \\ T=\cos ^{-1}0.88312797619 \\ T=27.977977493 \\ T=28^{\circ} \end{gathered}[/tex][tex]\begin{gathered} S=180-28-44 \\ S=108^{\circ} \end{gathered}[/tex]

From largest to smallest it will be

[tex]\angle S,\angle R\text{ and}\angle T[/tex]

Use the figure below to find lateral surface area. Select one: O 92 square inches O 80 square inches O 60 square inches O 86 square inches

Answers

Area of the base = 10 x 3 = 30 in^2

Area of the lateral walls = 10 x 2.5 x 2 = 50 in^2

Area of the triangles = 3 x 2 /2 x 2 = 6 in^2

Total area = 30 + 50 + 6

= 86 in^2

The court ruled that Lox Auto was liable in the death of an employee.The settlement called for the company to pay the employee's widow $60,000 at theend of each year for 20 years. Find the amount the company must set aside today,assuming 5% compounded annually.

Answers

We have to calculate the present value PV of a annuity.

The payment is yearly and it is P=60,000.

The interest rate is 5% (r=0.05), compounded annually (m=1).

The number of periods is n=20 years.

Then, we can use the formula for the present value of a annuity:

[tex]\begin{gathered} PV=P\cdot\frac{1-\frac{1}{(1+r)^n}}{r} \\ PV=60000\cdot\frac{1-\frac{1}{1.05^{20}}}{0.05} \\ PV\approx60000\cdot\frac{1-\frac{1}{2.653}}{0.05} \\ PV\approx60000\cdot\frac{1-0.377}{0.05} \\ PV\approx60000\cdot\frac{0.623}{0.05} \\ PV\approx60000\cdot12.462 \\ PV\approx747720 \end{gathered}[/tex]

Answer: the company must set aside $747,720.

I need help with this question

Answers

A person who watches TV 11.5 hours can do 36 sit-ups.

Define Regression Analysis

Regression analysis is a mathematical measure of the average relationship between two or more variables in terms of the original units of the data

Given,

y = ax +b

a = -1.073

b = 27.069

r² = 0.434281

r = -0.659

No. of hours TV watched = 11.5 hours

we have , y = ax + b

where, a = 1.073 , b = 27.069 and x = 11.5 hours

put this value in given equation,

y = 1.073 * 11.5 + 27.069

After calculating, we get

y = 39.4085 or 39

Therefore, a person who watches TV 11.5 hours can do 36 sit-ups.

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The perimeter of a quarter circle is 3.57 kilometers. What is the quarter circle's radius? Use 3.14 for . kilometers Siubmit explain

Answers

Given:

It is given that the perimeter of a quarter circle is 3.57 km.

To find :

The radius of the quarter circle.

Explanation :

The perimeter of the quarter circle is

[tex]P=\frac{2\pi r}{4}\text{ }+2r[/tex]

Substitute the value of perimeter in the above formula

[tex]3.57=\frac{\pi r}{2}+2r[/tex][tex]3.57=(\frac{3.14}{2}+1)r[/tex][tex]3.57=2.57r[/tex][tex]r=1.39[/tex]

Answer

Hence the radius of a quarter circle is 1.39 km.

The net of a cone is shown below. What is the surface area of the cone rounded to the nearest tenth of a square inch? Use π = 3.14.A. 125.6 in²B. 1,256.6 in²C. 175.8 in²D. 251.3 in²

Answers

ANSWER

[tex](C)175.8in^2[/tex]

EXPLANATION

The surface area of a cone can be found using the formula:

[tex]A=\pi r^2+\pi rl[/tex]

where l = slant height

r = radius

The diameter of the cone is given, but we can find the radius since the radius is half the diameter:

[tex]\begin{gathered} r=\frac{D}{2} \\ r=\frac{8}{2} \\ r=4\text{ units} \end{gathered}[/tex]

From the figure, the slant height of the cone is 10 units.

Hence, its surface area is:

[tex]\begin{gathered} A=(\pi\cdot4^2)+(\pi\cdot4\cdot10) \\ A=50.24+125.6 \\ A\approx175.8in^2 \end{gathered}[/tex]

The answer is option C.

In how many different ways can a relation be represented?Give an example of each

Answers

It is to be noted that a relations in math can be represented in 8 different ways. See the examples below.

What are relations in Math?

The relation in mathematics is the relationship between two or more sets of values.

The various types of relations and their examples are:

Empty Relation

An empty relation (or void relation) is one in which no set items are related to one another. For instance, if A = 1, 2, 3, one of the empty relations might be R = x, y, where |x - y| = 8. For an empty relationship,

R = φ ⊂ A × A

Universal Relation

A universal (or complete) relation is one in which every member of a set is connected to one another. Consider the set A = a, b, c. R = x, y will now be one of the universal relations, where |x - y| = 0. In terms of universality,

R = A × A

Identity Relation

Every element of a set is solely related to itself via an identity relation. In a set A = a, b, c, for example, the identity relation will be I = a, a, b, b, c, c. In terms of identity,  I = {(a, a), a ∈ A}

Inverse Relation

When one set includes items that are inverse pairings of another set, there is an inverse connection. For example, if A = (a, b), (c, d), then the inverse relation is R-1 = (b, a), (d, c). As a result, given an inverse relationship,

R-1 = {(b, a): (a, b) ∈ R}

Reflexive Relation

Every element in a reflexive relationship maps to itself. Consider the set A = 1, 2, for example. R = (1, 1), (2, 2), (1, 2), (2, 1) is an example of a reflexive connection. The reflexive relationship is defined as- (a, a) ∈ R

Symmetric Relation

If a=b is true, then b=a is also true in a symmetric relationship. In other words, a relation R is symmetric if and only if (b, a) R holds when (a,b) R. R = (1, 2), (2, 1) for a set A = 1, 2 is an example of a symmetric relation. As a result, with a symmetric relationship, aRb ⇒ bRa, ∀ a, b ∈ A.

Transitive Relation

For transitive relation, if (x, y) ∈ R, (y, z) ∈ R, then (x, z) ∈ R. For a transitive relation, aRb and bRc ⇒ aRc ∀ a, b, c ∈ A

Equivalence Relation

If a relation is reflexive, symmetric and transitive at the same time, it is known as an equivalence relation.

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It is found that a relations in math can be represented in 8 different ways.

What are relations?

The relation in mathematics is defined as the relationship between two or more sets of values.

There various types of relations and their examples:

An empty relation (or void relation) is one in which no set items are related to one another.  if A = 1, 2, 3, one of the empty relations might be R = x, y, where |x - y| = 8.

R = φ ⊂ A × A

Universal Relation; It is one in which every member of a set is connected to one another.

R = A × A

Identity Relation; Every element of a set is solely related to itself via an identity .

In a set A = a, b, c, for example, it is I = a, a, b, b, c, c. I

n terms of identity,  I = {(a, a), a ∈ A}

Inverse Relation; When one set of data includes items that are inverse pairings of another set, there is an inverse connection.

For example, if A = (a, b), (c, d), then the inverse is; R-1 = (b, a), (d, c).

R-1 = {(b, a): (a, b) ∈ R}

Equivalence Relation; When a relation is reflexive, symmetric and transitive at the same time, it is calles as an equivalence relation.

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A manager recorded the performance review scores for each employee and placed the results in the bar chart below. All employees received a rating on each of the Evaluation Categories. If Person 6 obtained the highest score possible, what score did Person 3 receive? Use the graph and tables below.EVALUATION CATEGORIESRATINGGeneral Quality of WorkDependabilityJob KnowledgeCommunication SkillsPersonalityManagement AbilityContribution to GroupProductivityAchievement of GoalsRating ScaleSCOREDESCRIPTION5Excellent4Very Good3Good2Fair1Poor253530

Answers

SOLUTION

Comparing the graphs and the options, it follows that each line on the graph represents 5 points. This means the person 6 obtained a score of 45, comparing this to the person 3, it means the person 3 obtained a score of 35.

So the answer is 35.

For the rating since person 6 has the highest possible score, which is 45, person 3 score becomes

[tex]\begin{gathered} \frac{35}{45}\times5 \\ =3.88888888 \\ which\text{ is approximately 4} \end{gathered}[/tex]

so we can classify person 3 as very good

what is the correct base and coefficient for the function:

Answers

The general form of a logarithmic function is:

[tex]y=a\cdot\log _b(x)[/tex]

Where a is the coefficient and b is the base. In the given picture, we can see that the coefficient is equal to 1, while the base is equal to 2.

Triangle
A
B
C
was dilated with the origin as the center of dilation to create triangle ′′′
A

B

C

. The triangle was dilated using a scale factor of 14
1
4
.

The lengths of the sides of triangle
A
B
C
are given.

Enter the lengths of the sides of triangle ′′′
A

B

C

below.
(Decimal values may be used.)

Answers

The lengths of the sides of the Triangle A'B'C' is A'B'=2.25 units , B'C' = 2.75 units , C'A' = 1.25 units .

in the question ;

it is given that

the lengths of the sides of the Triangle ABC is

AB = 9 units

BC = 11 units

CA = 5 units

dilation scale = 1/4

the lengths of the dilated triangle can be found using the formula

(Side length)×(Dilation scale)=Dilated length

So,

A'B' = AB*(1/4)

= 9/4 = 2.25 units

B'C' = BC*(1/4)

= 11/4

= 2.75 units

C'A' = CA*(1/4)

= 5/4

= 1.25 units .

Therefore , the lengths of the sides of the Triangle A'B'C' is A'B'=2.25 units , B'C' = 2.75 units , C'A' = 1.25 units .

The given question is incomplete , the complete question is

Triangle ABC was dilated with the origin as the center of dilation to create triangle A′B′C′. The triangle was dilated using a scale factor of 1/4. The lengths of the sides of triangle ABC are given. Enter the lengths of the sides of triangle A′B'C′ . (Decimal values may be used.)

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The expression below is scientificnotation for what number?4.58x10^-2

Answers

Using the exponent rules, 10^-2 can be expressed as follows:

[tex]10^{-2}=\frac{1}{10^2}=\frac{1}{100}[/tex]

Substituting into the expression in scientific notation, we get:

[tex]4.58\cdot10^{-2}=4.58\cdot\frac{1}{100}=\frac{4.58}{100}=0.0458[/tex]

need help with math

Answers

The y intercept is when x = 0.Therefore,

[tex]\begin{gathered} \text{when} \\ x=0 \\ y=0 \end{gathered}[/tex]

The vertex can be found below

why is 10'15 equal to 10'11? explain ur thinking. ___ 10'4

Answers

[tex]\frac{10^{15}}{10^4}=10^{11}\text{ for the following reasons:}[/tex][tex]To\text{ calcultate }\frac{10^{15}}{10^4}\text{ you would have to apply exponent rule}[/tex]

Exponent rule is the following:

[tex]\frac{x^a}{x^b}=x^{a-b}[/tex][tex]\text{Therefore, if for }\frac{10^{15}}{10^4}\text{ a is 15 and b is 4, therefore:}[/tex][tex]\frac{10^{15}}{10^4}=10^{15-4}[/tex][tex]So,\text{ }10^{\mleft\{15-4\mright\}}=10^{11}[/tex]

You have a bag full of 4 green marbles and 1 blue marble. You pick a marble out at random. If it's blue, you stopbecause you win 20 points. If not, you get another chance. Without replacing the green marble, you pick again. It'sblue, you win 10 points, otherwise you lose 20 points. Let X be the number of points you eam in this game. If you playedthis game 100 times, how many points can you expect to win (or lose)?

Answers

As per given by the question,

There are given that, 4 green marbles and 1 blue marble contains in a box and pick a marble at randomly.

Now,

Here pick a marble out at random, so first pick a marble for blue;

Then,

Total number of green marbles is 4, and the total number of blue marble is 1, and;

The total numbers of marbles in a bag is, 4+1=5.

So,

For pick the blue marble from 5 marble,

Now,

[tex]\begin{gathered} 5_{C_1}=\frac{5!}{1!\times(5-1)!} \\ =\frac{5!}{1!\times4!} \\ =\frac{5\times4!}{1!\times4!} \\ =5 \end{gathered}[/tex]

Now, for pick the green marble from 5 marbles.

Here, total green marble is 4.

So,

[tex]\begin{gathered} 5_{C_4}=\frac{5!}{4!\times(5-4)!} \\ =\frac{5\times4!}{4!\times1!} \\ =5 \end{gathered}[/tex]

Now,

From the question, there are clearly mention that if pick a blue, then stop because you won 20 points.

So,

Probability of the blue marble that won the 20 points.

then,

[tex]\begin{gathered} P(x=20)=\frac{total\text{ number of blue marble}}{\text{total number of marble}} \\ P(x=20)=\frac{1}{5} \end{gathered}[/tex]

Now,

There are also mention that, pick a green marbles without replacing and if its blue then win the 10 points,

So,

probability of the blue marbles that won 10 pointss is,

[tex]P(x=10)=\frac{1}{4}[/tex]

Now,

Here, find the probability that no points for the first green ball is,

[tex]P(x=0)=\frac{4}{5}[/tex]

Now,

If you played this game 100 time, then the probability is,

[tex]\begin{gathered} P(x=0)+_{}P(x=10)+P(x=20)=\frac{4}{5}+\frac{1}{4}+\frac{1}{5} \\ =1.25 \end{gathered}[/tex]

now,

For 100 times,

[tex]1.25\times100=125\text{ points.}[/tex]

Hence, 125 points can you expect to win.

ocupo encontrar la x con procedimiento


les regalare coronas!!!!

Answers

La variable x asociada al sistema geométrico con dos ángulos alternos externos es igual a 23.

¿Cómo determinar la variable asociada a dos ángulos alternos externos?

En esta pregunta tenemos un sistema geométrico conformado por dos líneas paralelas atravesadas por una tercera línea. Este conjunto incluye dos ángulos alternos externos, que guardan la siguiente relación según la geometría euclídea:

6 · x - 28 = 4 · x + 18

A continuación, despejamos la variable x:

6 · x - 4 · x = 28 + 18

2 · x = 46

x = 23

El valor de la variable x es 23.

Observación

No existen preguntas en español sobre ángulos alternos externos, por lo que se añade una pregunta en inglés.

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Jamal buys a water heater online for $861. If shipping and handling area additional 11% of the price, how many shipping and handling will Jamal pay?

Answers

[tex]\begin{gathered} 11\text{ \%of 861 is,} \\ \Rightarrow\frac{11}{100}\times861=94.71\text{ \$} \\ Amount\text{ pay by jamal is,} \\ \Rightarrow861+94.71=1055.71\text{ \$} \end{gathered}[/tex]

Hi, I am testing the service for Brainly. Can you help me find the median for this set of numbers: 3, 4, 15, 27, 53, 54, 68, 77?

Answers

To find the median of a set of numbers, the first step is:

1 - Put the numbers in crescent order

This set of numbers is already in crescent order, so we can skip this step

2 - Count how many numbers there are in the set.

In our set we have 8 numbers, so in this case, the median of the set will be the average value between the two central numbers (that is, the fourth and fifth numbers)

The fourth number is 27, and the fifth number is 53, so the median is the average of these two numbers:

[tex]\text{median = }\frac{(27\text{ + 53)}}{2}=\frac{80}{2}=40[/tex]

So the median of this set of numbers is 40.

Which will hold more cake batter; the rectangular pan or two round pans? The volume of the rectangle pan is 234 in 3rd power. Find the volume of the two round pans and choose your decision. Round your answer to the nearest tenth if necessary.

Answers

Solution

Given a rectangular pan and two round pans

The volume, V, of the rectangular pan is 234 in³

A round pan is in the form of a cylinder

To find the volume, V, of the a round pan, the formula is

[tex]V=\pi r^2h[/tex]

Where

[tex]\begin{gathered} d=8in \\ r=\frac{d}{2}=\frac{8}{2}=4in \\ r=4in \\ h=2in \end{gathered}[/tex]

Substitute the variables into the formula above

[tex]\begin{gathered} V=\pi\left(4\right)^2\left(2\right)=100.53in^3\text{ \lparen two decimal places\rparen} \\ V=100.53in^3\text{ \lparen two decimal places\rparen} \end{gathered}[/tex]

Since, there are two round pans, the volume of the two round pans will be

[tex]2\times100.53=201.06in^3[/tex]

nce, the volume of the two round pans is 201.06 i³.

Since the volume of the two round pans (201.06in³) is less than the volume of the rectangular pan (234in³), the rectangular pan will hold more.

Hence, the answer is rectangular pan (option a)

In a game of cornhole, Sasha tossed a bean bag and it landed at the edge of the hole. The hole can be represented by the equation x^2+ y^2= 5, and the path of the bean bag canbe represented by y = -0.5x^2 -1.5x + 4. To which points could she have tossed her bean bag?(-1,-2) or (-2, 1)(1.-2) or (2,1)(-1,2) or (-2,-1)(1, 2) or (2, -1)

Answers

We have two equations, the first is a circle, which we can identify by the characteristic form of the equation:

[tex]x^2+y^2=5[/tex]

The second is a quadratic equation:

[tex]y=-0.5x^2-1.5x+4[/tex]

We know that Sasha got the bag to land in the edge of the circle defined by the hole, equation 1.

So, to know the points at which the bag landed, we can look for th eintersection of the two equations, which is the same as solving a system of equations:

[tex]\begin{gathered} x^2+y^2=5 \\ y=-0.5x^2-1.5x+4 \end{gathered}[/tex]

Since we have been given alternatives, we can check them to get the correct answer.

The first option is (-1,-2) or (-2,1). Since the sign of the alternatives are the only thing that change and the circle equation doesn't differenciate the signs, the best equation to test first is the second one. Let's try that for (-1,-2).

[tex]\begin{gathered} y=-0.5(-1)^2-1.5(-1)+4 \\ y=-0.5+1.5+4=5 \end{gathered}[/tex]

We got y = 5, which is not -2, so this alternative is incorrect.

Let's got for the second alternative, (1.-2) or (2,1):

[tex]y=-0.5(1)^2-1.5\cdot1+4=2[/tex]

This is also incorrect.

The third alternative is (-1,2) or (-2,-1), we already saw that for x = -1, y = 5, which makes this alternative also incorrect.

Let's check if the last one will be correct, (1, 2) or (2, -1). We already saw that for x = 1, y = 2 in the second equation, let's check if this is also correct for the first:

[tex]\begin{gathered} (1)^2+y^2=5 \\ y^2=5-1=4 \\ y=\pm2 \end{gathered}[/tex]

One of the results is y = 2, so this also checks out.

The other point is (2,-1), let's check in both equations:

[tex]\begin{gathered} (2)^2+y^2=5 \\ 4+y^2=5 \\ y^2=1 \\ y=\pm1 \end{gathered}[/tex]

Checks out, and:

[tex]\begin{gathered} y=-0.5(2)^2-1.5\cdot2+4 \\ y=-2-3+4=-1 \end{gathered}[/tex]

And the "y" checks out too.

So, the correct alternative is the last one: (1, 2) or (2, -1).

last night Danielle had a birthday party. 1/3 of the cake was left over.She wanted to share the left over cake with 4 friends the next day .How much of birthday cake would each get

Answers

Solution

For this case we have a total cake representing 1

We also know that 1/3 of the cake was left over so then 1/3

And we want to share to 4 friends so we can do this:

1/3 * 1/4 = 1/12

So then each friend will recieve 1/12

A restaurant serving 150 side dishes of skinless mashed potatoes each day produces two orders of mashed potatoes from each 8 ounce potato. when the skins are discarded, the potatoes have a yield percentage of 90%. However, to reduce waste and promote sales, the potato skins are instead used as an appetizer. what is the edible portion of the potato skins in ounces?​

Answers

The edible portion of the potato skins in ounces is = 0.8%

What are potatoes?

Potatoes are vegetable tubers that can be eaten with the skin when properly cooked.

The number of side dishes of skinless mashed potatoes= 150

Two orders of mashed potatoes = 8 ounce potato.

The potatoes with discarded skin = 90% yield

The potatoe skin= 10% of the 8 ounces

That is;

= 10/100×8

= 80/100 = 0.8 ounce

Therefore, the portion of the potatoes that consists of the skin in ounce is = 0.8 ounce

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Which is the equivalent of 6 14’ 48’’ written in decimal form Round to the nearest thousandth of a degree A. 6.145 B. 6.367 C. 6.247 D. 6.313

Answers

Answer

Step-by-step explanation

First, we need to convert the 48'' into minutes. Using the conversion factor: 1' = 60'', we get:

[tex]\begin{gathered} 48^{\prime}^{\prime}=48^{\prime}^{\prime}\cdot\frac{1^{\prime}}{60^{\prime}^{\prime}} \\ 48^{\prime\prime}=\frac{48}{60}^{\prime} \\ 48^{\prime}^{\prime}=0.8^{\prime} \end{gathered}[/tex]

Then, 14 minutes and 48 seconds are equivalent to 14 + 0.8 = 14.8 minutes. To convert this amount of minutes into degrees we need to use the conversion factor 1° = 60', as follows:

[tex]\begin{gathered} 14.8^{\prime}=14.8^{\prime}\cdot\frac{1\degree}{60^{\prime}^{\prime}} \\ 14.8^{\prime}=\frac{14.8}{60}\degree \\ 14.8^{\prime}=0.247\operatorname{\degree} \end{gathered}[/tex]

In consequence, 6° 14’ 48’’ is equivalent to 6 + 0.247 = 6.247°

The image point of A after a translation left 2 units and down 5 units is the pointB(-8, -11). Determine the coordinates of the pre-image point A.Submit Answer

Answers

Let the coordinates of the pre-image which is point A be (x,y)

The point after the translation left 2 units and down 5 units is B(-8, -11)

To get the x coordinate

we were tolt that the point was move 2 units left

So this implies x = -8+2 = -6

To get the y coordinates, we wre told that the point was moved down 5 units

This implies y = -11+ 5 = -6

Therefore, the coordinates of the pre-image point A is (-6, -6)

Find the third side in simplest radical form: 25 24

Answers

[tex]\sqrt[]{49\text{ }}\text{ }[/tex]

Here, we want to get the length of the third side

Mathematically, we can get this by the use of Pythagoras' theorem

It states that the square of the length of the hypotenuse equals the sum of the squares of the two other sides

Let the missing side be s

From the diagram, we have the hypotenuse as 25 (the hypotenuse is the longest side and it is the side that faces the right angle

We have this as;

[tex]\begin{gathered} 25^2=s^2+24^2 \\ s^2=25^2-24^2 \\ s^2\text{ = 625-576} \\ s\text{ = }\sqrt[]{49} \\ s\text{ = 7} \end{gathered}[/tex]

the coldest temperature ever recorded on earth is 135.8 Fahrenheit below zero recording in Antarctica on July 21st 1983 the hottest temperature ever recorded on earth is 134 Fahrenheit recorded in Death Valley California on July 10th 1913 what is the difference between those two temperature

Answers

Let's begin by listing out the information given to us:

The coldest temperature ever recorded on earth (T1) = -135.8 Fahrenheit

The hottest temperature ever recorded on earth (T2) = 134 Fahrenheit

The difference between the two temperature = Hottest - Coldest temperature

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Variable Systems 2solve the following showings steps neatly and organized.

Answers

SOLUTION

perimeter of rectangle = 88cm

let the widht be x

now, according to question

lenght = 3x ( as it is triple of width)

formula of rectangle perimeter

88cm = 2* (length + width)

88cm = 2(3x+x)

88cm = 4x (2 will be transported to left )

88/2 cm = 4x

( 2 become in divide as in right it was in multiply)

44 cm = 4x

x= 44/4

x= 11cm

according to question,

width of rectangle = x = 11 cm

^3square root of 1000

Answers

Given the following question:

[tex]\sqrt[3]{1000}[/tex][tex]\begin{gathered} \sqrt[3]{1000} \\ \sqrt[3]{1000}=\sqrt[3]{10^3} \\ 10^3=1000 \\ \sqrt[3]{10^3} \\ \sqrt[n]{a^n}=a \\ \sqrt[3]{10^3}=10 \\ =10 \end{gathered}[/tex]

Your answer is 10.

What is the value of the number in the hundredths place?8.471A. 0.4B. 0.7 C 0.07D. 0.04

Answers

EXPLANATION

The value of the number in the hundreths place is 0.07

Sioux Falls Christian teacher says that he can drop one of his test score using history to score of 80 185 which one should he drop and white what is his new address

Answers

if he removes his lowest score the average increases, then if we remove 80 the new average is

[tex]\frac{100+85}{2}=92.5[/tex]

new average is 92.5

Graph the solution set of the system. -2x-y ≥2 y ≥-2 x ≥-4

Answers

The graph of the given equations as;

-2x-y ≥2

The graph of the inequality y ≥-2

The graph of the inequality, x ≥-4

Now, the graph for the set of the system as;

...

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