**Shape area** of timber measured in millimeters is 10.8 m2.

Given:

Rectangle 1's **length** is 4000 mm, or 4 meters.

Rectangle 1's **width** is 1200 mm, or 1.2 meters.

Rectangle 2's length is [6200-1200] mm, or 5 meters.

Rectangle width 2 = 1200 mm = 1.2 m

Area of the form,

Shape's area is equal to the sum of its **two rectangles.**

**Shape area** equals [(4)(1.2)] plus [(5)(1.2)].

Shape's area equals 4.8 + 6.

**Length** area of the shape is 10.8 m2.

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Solve 3x - 2y = - 6 if the domain is {-2, -1, 0, 2, 3).

Write your answer as ordered pairs.

The solution of **equation** as** ordered pairs** can be given as {0, 3/2, 3, 6, 15/2}.

**Domain** may be defined as the **input variable** x for any of the given function which gives a suitable set of **output variables** y. The input variable is called the **independent variable** whereas the output variable is called the dependent variable. The equation given in the question 3x - 2y = -6 can also be expressed as y = (3x + 6)/2. The **ordered pairs** of Domain are {-2, -1, 0, 2, 3}. Now if we put these values as values of x we get the values of y as,

At x = -2, y = 0, at x = -1, y = 3/2, at x = 0, y = 3, at x = 2, y = 6 and at x = 3, y = 15/2.

These are the values of **outputs**, and the ordered pair will be expressed as

{0, 3/2, 3, 6, 15/2}.

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write in standard form the equation of the line through each pair of points

9. (0,1) and (3,0)

10. (1/2,2/3) and (-3/2,5/3)

11. (-3,-2) and (1,6)

The **equation **of the **line **3y + x = 3 through pair of **points **(0,1) and (3,0), the **equation **of the line 6y = 2x +3 through pair of points (1/2,2/3) and (-3/2,5/3) and the **equation **of the line y = 2x + 4 through pair of **points **(-3,-2) and (1,6)

The **equation **of the **line **through pair of points (0,1) and (3,0)

⇒ y - y₁ = [(y₂ - y₁)/(x₂ -x₁ )](x - x₁ )

Here x₁ = 0 and y₁ = 1

x₂ = 3 and y₂ = 0

The **equation **of the line is obtained by **substituting **these **values **into the above equation;

⇒ y - 1 = [(0-1)/(3-0)](x -0)

⇒ y - 1 = (-1/3)x

⇒ 3y - 3 = x

⇒ 3y + x = 3

The **equation **of the **line **through pair of points (1/2,2/3) and (-3/2,5/3)

⇒ y - 2/3 = [(5/3 -2/3)/(-3/2-1/2)](x -1/2)

⇒ y - 2/3 = [(3/3)/(-4/2)](x -1/2)

⇒ y - 2/3 = (1/3)(x -1/2)

**Multiply **by 6 both sides of the equation,

⇒ 6y - 4 = 2(x -1/2)

⇒ 6y = 2x -1 + 4

⇒ 6y = 2x +3

The **equation **of the line through pair of **points **(-3,-2) and (1,6)

⇒ y - (-2) = [(6-(-2))/(1-(-3))](x -(-3))

⇒ y + 2= (8/4)(x + 3)

⇒ y = 2x + 6 -2

⇒ y = 2x + 4

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What is the number of terms in the polynomial -y4 + 7y³

There are 2 terms in the polynomial -y^4 + 7y^3.

-y^4 is the first, or leading term in the polynomial. The second term is 7y^3. This is considered a binomial.

-y^4 is the first, or leading term in the polynomial. The second term is 7y^3. This is considered a binomial.

Alice is saving to buy a house and currently has$2,000 in her savings account. She's planning tocontribute $150 to the account each month,Identify the function that describes therelationship between the number of monthsthat pass (n) and the balance of her savingsaccount,f(n).

Alice plans to buy a house. She has $2,000 in her savings account.

She plans to contribute $150 to the account each month.

We know that with each month, n, she deposits $150 and so, **each month, her savings account balance increases by $150.**

This simply means that after n months, her savings account balance would have increased by:

**150 * n = 150n**

Her initial balance was $2000, therefore, **her balance after n months will be the sum of 150n and the amount that was initially there.**

That is:

**f(n) = 2000 + 150n**

**This is the function that describes the relationship between the number of months and her balance.**

find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (hint: let (x,y) be the unknown endpoint. apply the midpoint formula, and solve the two equations for x and y.) midpoint (-15, -6), end point (-16,-3)

The **coordinates** of the other endpoint of the segment, given its midpoint and one endpoint are (-14, -9)

The **Midpoint Formula** for a line with endpoints as (x₁, y₁) and (x₂, y₂) is;

((x₁ + x₂)/2, (y₁ + y₂)/2)

We are given the following;

Midpoint (-15,-6)

End point (-16,-3)

Let x₁ = -16, the x coordinate of the endpoint

Let x₂ = the x coordinate of the **unknown endpoint**

Let y₁ = -3, the y coordinate of the endpoint

Let y₂ = the y coordinate of the **unknown endpoint**

Thus, for the** x coordinate **of the unknown endpoint;

(x1 + x2)/2

(-16 + x₂)/2 = -15

-16 + x₂ = -30

x₂ = -14

For the **y coordinate** of the unknown endpoint;

(y1 + y2)/2

(-3 + y₂)/2 = -6

-3 + y₂ = -12

y₂ = -12 + 3

y₂ = -9

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Marcus has an aquarium with three different types of fish. 1/9 of the fish are goldfish. 5/9of the fish are angelfish. • The rest of the fish are guppies. What fraction of the fish are guppies?

The **fraction** of **fishes** which are **guppies** in Marcus's aquarium is 2/3

Number of **gold fishes** in the aquarium = 1/9

Number of **angelfish** in the aquarium = 5/9

**Fractions**: A numerical value that designates a portion of a whole is used to represent fractions. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Let x be the total number of fishes in Marcus's aquarium:

Number of guppies = Total fishes - Number of gold** **fishes - Number of angelfishes

= x - 1/9 - 5/9

= x - 6/9

x = 6/9 or 2/3

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The length of the hypotenuse of a right triangle is 13 cm. The length of one leg is 5 cm. Find the length of the other leg. i think its 12

**Answer: Correct! The answer is 12.**

**Step-by-step explanation:**

1) Draw the triangle.

Drawing a triangle usually helps you see the problem better!

| \

| \ 13 cm

| \

|______\

5 cm

2) Solve the other leg

To find the other leg, we need to use the Pythagorean theorem. Which goes like this

[tex]a^2+b^2=c^2[/tex]

**We will then substitute the numbers into the equation**

[tex]5^2+b^2=13^2[/tex]

**Simplify**

[tex]25+b^2=169[/tex]

**Set the variable on one side**

[tex]b^2=144[/tex]

**Get rid of the squared in the b by square rooting both sides.**

[tex]b=12[/tex]

**The answer is 12.**

PLEASEEE HELP ME

find the inverse of f(x)=1/x+5 -1 and it’s domain

**Answer:**

C

**Step-by-step explanation:**

HOPE IT HELPS MARK BRAINLEIST PLS

find the perimeter of the hallway

**Answer: 17x - 39**

**Step-by-step explanation:**

**1) Find all sides of the hallway.**

**P = 4x-9 + x-2 + x+2 + 3x - 11 + x-2 + 3x - 11 + x+4 + 2x-9 + x-1**

**2) Add it together**

**P= 17x - 39**

A poll showed that 62.4% of Americans say they believe that some people see the future in their dreams. What is the probability (in percent form) of randomly selecting someone who does not believe that some people see the future in their dreams.Probability = % (Please round your answer to one decimal place.)

Let

A

be the event of selecting an American that believes that some people see the future in their dreams. From the problem,

P(A)=62.4%=0.624

Let

A' be the event of selecting an American who does not believe that some people see the future in their dreams

Remember that

P(A')=1-P(A)

substitute given value

P(A')=1-0.624=0.376=37.6%

Hence, the probability of randomly selecting someone who does not believe that some people see the future in their dreams is 37.6%

2.Graph and complete the t-chart for the function y=2/3 x +5.

Recall that to complete the table we have to evaluate the given function at every value of x:

[tex]\begin{gathered} y(-3)=\frac{2}{3}(-3)+5=-2+5=3, \\ y(3)=\frac{2}{3}(3)+5=2+5=7, \\ y(6)=\frac{2}{3}(6)+5=4+5=9. \end{gathered}[/tex]**Answer:**

Table:

Graph:

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 28 of you want to go, he decides that the only fair way is to draw names out of a hat. What is the probability that you, Shirley, and Matthew are chosen? Enter a fraction or round your answer to 4 decimal places, if necessary.

The **probability **that you, Shirley, and Matthew are chosen is** 0.0001**

**Probability**:

Probability refers the **measure **of the **likelihood **of an event to occur.

The formula of Probability is

Probability of event to happen P(E) = Number of** favorable **outcomes/Total Number of** outcomes**

Given,

Suppose that your boss must choose three employees in your office to attend a conference in Jamaica. Because all 28 of you want to go, he decides that the only fair way is to draw names out of a hat.

Here we need to find the probability that you, Shirley, and Matthew are chosen.

Here we have assuming that the selection process is fair;

We know that, the total number of employees is 28

Therefore, the probability of selecting each employee is,

=> 1/28

So, the probability of selecting yourself, Shirley, and Matthew is calculated as,

=> 1/28 x 1/27 x 1/26

=> 1/19656

=> 0.00005

When we round off it into four decimal place then we get,

=> 0.0001

Therefore, the probability that you, Shirley, and Matthew are chosen 0.0001.

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74/5+1 9/10 what is the the lowest denominata to use to solve?

A lowest **denominator** to solve the given **equation** is 10.

**What are fractions?**

**Fraction** are **ratios** in which numerator and denominator are both **integers **and denominator is not zero.

We are given a **equation**

[tex]\frac{74}{5}+1\frac{9}{10}[/tex]

Upon solving we get the following

[tex]\frac{74}{5}+\frac{19}{10}[/tex]

If we multiply both numerator and **denominator** of the first term by 2 we get

[tex]\frac{148}{10}+\frac{19}{10}[/tex]

Hence after this we can add

Hence A lowest **denominator** to solve the given equation is 10

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The part 1 picture of the same question the part 2Because is a little long.

The answer would be **B**.

The relationship is proportional. The constant of proportionality is 5.

Order from least to greatest5/6 4/50.82

Okay, here we have this:

Considering the provided set of numbers we are going to organize the numbers from smallest to largest, so we obtain the following:

Remember that 5/6 is approximately 0.83 and 4/5 is 0.8, then:

Considering the number line and that the smaller numbers are further to the left and the larger numbers are further to the right, we are left with the following order from least to greatest: **4/5, 0.82, 5/6.**

The sum of three consecutive even integers

is –78. What are the integers?

Describe how you would use the strategy of writing an equation to solve the given problem.

**Answer:**

**Step-by-step explanation:**

The difference between two consecutive even integers is **2**.

Let the first of the three integers is **x**, then the following ones are:

**x + 2** and **x + 4**.

The sum of the three is - 78. **Express it as equation** and solve for x:

**The integers are** - 28, - 26 and - 24

Use the number line to find the coordinate of the midpoint of

¯¯¯¯¯¯¯¯

K

M

.

It’s L KM is 4 number but and L is in the middle (aka 2) so it’s L

Answer L

Answer L

The midpoint of k and m is L since it’s in the middle between the two so it’s the midpt

What happens to the surface area of a sphere if the radius is doubled?b. What happens to the surface area of a sphere if the radius is tripled?

**Given:**

a) The radius is doubled.

b) The radius is tripled.

**To find:**

The changes to the surface area of a sphere

**Explanation:**

Let us take the original radius as r.

The surface area of the original sphere is,

[tex]A=4\pi r^2[/tex]**a)** The new radius will be,

So, the surface area of the sphere with the new radius is,

[tex]\begin{gathered} A=4\pi R^2 \\ =4\pi(2r)^2 \\ =4\pi(4r^2) \\ A=4(4\pi r^2) \\ A=4\times Surface\text{ area of old sphere} \end{gathered}[/tex]**Therefore, the surface area of a sphere becomes four times the original surface area if the radius is doubled.**

**b)** The new radius will be,

So, the surface area of the sphere with the new radius is,

[tex]\begin{gathered} A=4\pi R^2 \\ =4\pi(3r)^2 \\ =4\pi(9r^2) \\ A=9(4\pi r^2) \\ A=9\times Surface\text{ area of old sphere} \end{gathered}[/tex]**Therefore, the surface area of a sphere becomes nine times the original surface area if the radius is tripled.**

5. Given the following lengths, determine if the shape is a RIGHT triangle: 14, 16, 18 (2 points: 1 point for the correct answer, 1 point for showing your work) Your answer

To be able to determine if the figure is a right triangle.

The given length must satifies the given conditions,

a.) The sum of the two sides must always be lesser than the other side. We get,

[tex]\text{ a + b }>\text{ c ; b+ c }>\text{ a ; a + c }>b[/tex]Given: a = 14 ; b = 16 ; c = 18

Let's check,

a + b > c ; 14 + 16 > 18 = 30 > 18 Satisfies the criteria

b + c > a ; 16 + 18 > 14 = 34 > 14 Satisfies the criteria

a + c > b ; 14 + 18 > 16 = 32 > 16 Satisfies the criteria

b.) The square of the longest side is equal to the sum of the squares of the other two sides (Pythagorean Theorem). We get,

[tex]\begin{gathered} \text{ c}^2=a^2+b^2 \\ 18^2=14^2+16^2 \\ 324\text{ = }196\text{ + }257 \\ 324\text{ }\ne\text{ 457} \end{gathered}[/tex]Therefore, checking the relationships of the given the following lengths, the figure is not a right tiangle.

Melissa bought 10 party subs and 3 cases of water for a party she's hosting. The subs cost $47 each, and each case of water cost $7 How much did Melissa

spend on subs and water?

**Answer:**

melissa spent approximately $491 in total

Water = $7/case

Subs = $47/each

47 x 10 = $470 (total cost for subs)

7 x 3 = $21 (total cost for water cases)

470

+ 21

———

491

Melissa spent $491 on subs and water

Subs = $47/each

47 x 10 = $470 (total cost for subs)

7 x 3 = $21 (total cost for water cases)

470

+ 21

———

491

Melissa spent $491 on subs and water

( – 5q–1)–( – 2q–8)

help meeeee

The value of expression ( – 5q–1)–( – 2q–8) is **-****3****q**** ****+**** ****7****.**** **

As per the known fact, the **similar signs** are consequently takes as positive for calculation. So, the two **negative** signs will be takes as positive. So, rewriting the expression to solve and find its value.

Value of expression = (-5q - 1) + 2q + 8

**Rearrange** the expression

Value of expression = - 5q + 2q - 1 + 8

Performing **addition** of numerals written with q and **subtraction** of constant values

Value of expression = - 3q + 7

Thus, the value of expression mentioned in question is **-3q ****+**** ****7****.**** **

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The linear function

M= 10- 1.44p represents the amount m (in dollars)

of money that you have after printing p photographs.

(See Example 5.)

a. Interpret the terms and coefficient in the equation.

b. Find the domain of the function. Is the domain

discrete or continuous? Explain.

c. Graph the function using its domain.

Considering the given **linear function**, it is found that:

**a)**

**b) **The discrete **domain **of the function is: {0, 1, 2, 3, 4, 5, 6, 7}.

**c) **The **graph **of the function is given at the end of the answer.

A linear function, in **slope-intercept** format, is modeled according to the rule given below:

y = mx + b

In which:

The coefficientThe** amount of money** you have remaining after printing p photographs is modeled by the following function:

M(p) = 10 - 1.44p.

Hence the **coefficients **are as follows:

The number of photos printed is a **discrete **number, as this number cannot assume decimal values, hence the domain is also discrete.

You cannot print a negative value of numbers, neither can M(p) be negative, hence the **domain**, which is the number of photos you can print, is:

{0, 1, 2, 3, 4, 5, 6, 7}.

Considering the above domain, the **graph **of the function is given by the image at the end of the answer.

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A football team has a 60% chance of winning a league trophy each season it competes. What would be its probability of winning two times in three consecutive seasons?

**Answer:**

P(X = 2) = 43.2%

**Step-by-step explanation:**

P(X = 2) = 3 * 0.6^2 * (1 - 0.6)^(3 - 2)

P(X = 2) = 54/125

P(X = 2) = 0.432

P(X = 2) = 43.2%

Calculate the mean of the electric bills for Family A. Round your answer to the nearest cent.

Month Family A Family C

January

February

March

April

May

June

July

August

September

October

November

December

$

I think the answer December

**Answer:**

78.59$

**Step-by-step explanation:**

In an apartment 40%read the nation 25%read the standard 5%read both .if a random resident is selected calculate the probability that

an apartment complex, 40% of residents read the L.A. Times. Only 25% read ... Suppose we select a resident of the apartment complex at random. Find the ..

Solve the inequality for x

(x+8)(x-3)^2(x-7)^3<0

The **solution** for the given **inequality** is −8<x<3 or 3<x<7.

The given inequality is (x+8)(x-3)²(x-7)³<0.

What is a inequality?**Inequalities** are the mathematical **expressions** in which both sides are not equal. In inequality, unlike in **equations**, we compare two values. The equal sign in between is replaced by **less than **(or less than or equal to), **greater than** (or greater than or equal to), or not equal to sign.

The given inequality can be solved as follows

Solve for x by simplifying both sides of the **inequality**, then isolating the variable.

Inequality Form: x+8<0

x<-8 (**Subtract** 8 on both the sides of the inequality)

(x-3)²<0

⇒ x-3<0

⇒ x<3 (**Add** 3 on both the sides of the inequality)

(x-7)³<0

⇒ x-7<0

⇒ x<7 (Add 7 on both the sides of the **inequality**)

Solution is −8<x<3 or 3<x<7

Therefore, the **solution** for the given **inequality** is −8<x<3 or 3<x<7.

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A company prints designs on T-shirts. They charge $40 for set-up costs plus $12 per shirt. Write the equation for the situation.

The **equation** for the situation a company prints designs on T-shirts is (40+12x) when x is the number of T-shirts.

According to the situation,

We have the following information:

The company charges $40 for set-up** costs** plus $12 per shirt.

So, the basic charge is added to every t-shirt.

Now, let's take the number of T-shirts on which the company prints designs on shirts to be x.

So, we have the **charge** for x number of t-shirts is:

$(40+12x)

Hence, the equation for the situation a company prints designs on T-shirts is (40+12x) when x is the number of T-shirts.

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Which statement allows the line q and p are parallel ?

According to the converse of corresponding angles theorem, the statement that allows Carmen to conclude that lines p and q are **parallel **is: ∠2 ≅ ∠6.

A **transversal** is a line that crosses two straight lines. For example, line t is a **transversal** that crosses the lines p and q in the given diagram above.

**Parallel** lines are lines that do not meet each other at any point and are of equal distant to each other.

When a **transversal** intersects two **parallel **lines, they form angle pairs. One of such angle pairs is, corresponding angles, which are always congruent to each other.

Thus, if corresponding angles are formed and are equal to each other, then the lines they lie on must be **parallel **lines based on the corresponding angles converse theorem.

Angles 2 and 6 are corresponding angles that are formed by the **transversal **that intersects lines q and p. If they are congruent angles, then the lines are **parallel**.

Therefore, Carmen can use the statement, ∠2 ≅ ∠6 to show that lines q and p are **parallel**.

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Please help I am stuck

**Compute the given function **

[tex]f(x)=- 3x^{2}-7x-3[/tex]

**How the given function is computed?**

Let us consider **f (-3)**

f(-3)= -3(9)- 7(-3) -3

=-27+21-3

= **-9**

Let us consider **f (4)**

f(4) = -3(16)-7(4)-3

=-48-28-3

=** - 79**

A) f(-3) * f (4)

= (-9) * (-79)

=** 711**

B) f(-3) / f (4)

= (-9) / (-79)

= **9/79 (or 0.11)**

**What are functions?**

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Math

-2-(-7) = ?

Bookmark

**Answer:**

5

**Step-by-step explanation:**

We know that - (-7) = +7, so

-2 - (-7) = -2 + 7 = 5

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