Labrador Retrievers weigh an average of 65 lbs with a standard deviation of 4 lb

German Shepherds weigh an average of 62 pounds with a standard deviation of 3 lbs

I need it in slope intercept form and it has to be PERPENDICULAR to the equation it gives.

The equation of the line in** slope intercept form** perpendicular to 6x - 2y = 12 and has the same y-intercept is y = - 1 / 3 x - 6

The equation in **slope intercept form** can be represented as follows:

y = mx + b

where

Therefore, the equation of the line is perpendicular to 6x - 2y = 12 and have the same** y-intercept.**

Hence, perpendicular lines follows the rule below:

m₁m₂ = -1

6x - 2y = 12

6x - 12 = 2y

y = 3x - 6

Hence,

3m₂ = -1

m₂ = - 1 / 3

Therefore, the** slope** of the line is - 1 / 3.

The y-intercept is -6

Therefore,

the equation of the line is y = - 1 / 3 x - 6

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Find the equation of a parabola with a focus of (0, 15) and directrix y = –15.

The **equation **of the **parabola** is x² = 60y after applying the concept of the **parabola**.

It is defined as the **graph** of a quadratic** function **that has something bowl-shaped.

(x - h)² = 4a(y - k)

(h, k) is the **vertex** of the parabola:

a = √[(c-h)² + (d-k²]

(c, d) is the **focus** of the **parabola**:

It is given that:

Focus of (0, 15) and directrix y = –15.

Let (x, y) be on the **parabola**:

The **distance **between focus and (x, y):

The **distance **formula can be given as:

[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

[tex]\rm d=\sqrt{(x-0)^2+(y-15)^2}[/tex]

[tex]\rm d=\sqrt{x^2+(y-15)^2}[/tex]

Directrix y = -15

y + 15 = 0

[tex]\rm \sqrt{x^2+(y-15)^2} = |y + 5|[/tex]

Squaring both sides:

x² + (y - 15)² = (y + 15)²

x² + y² -30y + 225 = y² + 30y + 225

x² -30y = 30y

x² = 30y + 30y

x² = 60y

Thus, the **equation **of the **parabola** is x² = 60y after applying the concept of the **parabola**.

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Divide. Reduce your answers to lowest terms.5/8 divide (-3 3/4)

[tex]\text{Answer: - }\frac{1}{6}[/tex]

Given data

5/8 divided by (-3 3/4)

Firstly, convert the mixed fraction into an improper fraction

[tex]\begin{gathered} -3\text{ }\frac{3}{4}\text{ can be converted to the below improper fraction} \\ -3\text{ }\frac{3}{4}\text{ = -}\frac{(4\text{ x (3) + 3}}{4} \\ -\text{ 3}\frac{3}{4}\text{ = - }\frac{12\text{ + 3}}{4} \\ -\text{ 3 }\frac{3}{4}\text{ = - }\frac{15}{4} \\ \text{Therefore, 5/8 divided by - 15/4} \\ \frac{5}{8}\text{ / -}\frac{15}{4} \\ \frac{5}{8}\text{ x -}\frac{4}{15} \\ =\text{ }\frac{-20}{120} \\ =\text{ - }\frac{1}{6} \end{gathered}[/tex]**Answer = - 1/6**

Given the following expression: 8x2 + 26x – 15 One of its simplified factors is: NOTE: If an answer is (x + 1), then do not use any spaces in your answer and be sure to include the parentheses. Your answer would look like this: (x+1)

We have the following:

[tex]8x^2+26x-15[/tex]simplify:

[tex]\begin{gathered} 8x^2-4x+30x-15 \\ 4x(2x-1)+15(2x-1) \\ (2x-1)\cdot(4x+15) \end{gathered}[/tex]The answer are (2x - 1) or (4x + 15)

help help hellpppppp

The **equation **of the line will be y = 2x + 1.

So, the equation of the line:

The equation is parallel to y = 2x -2 and the slopes equation is y = mx + b where m is the slope.So, the slope is 2.Then, y = 2x + b

Now, substitute x = 1 and y = 3 in the above equation to find b:

y = 2x + b3 = 2(1) + bb = 3 - 2b = 1So, the equation of the line will be: y = 2x + 1

Therefore, the **equation **of the line will be y = 2x + 1.

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Plot the points on your graph paper to answer the question.

**Answer:**

y=2x

y=x+2

there's ur answer.

Jolene invests her savings in two bank accounts, one paying 4 percent and the other paying 12 percent simple interest per year. She puts twice as much in the lower-yielding account because it is less risky. Her annual interest is 8740 dollars. How much did she invest at each rate?Amount invested at 4 percent interest is $Amount invested at 12 percent interest is $

We will have the following:

First, we recall that the simple interest formula is given by:

[tex]A=P(1+rt)[/tex]Now, for the accounts that are described in the problem we will have that:

[tex]\begin{gathered} A_1+2P=2P(1+(0.04)(1))\Rightarrow A_1+2P=2P(1.04) \\ \\ A_2+P=P(1+(0.12)(1))\Rightarrow A_2+P=P(1.12) \end{gathered}[/tex]Now, we have that:

[tex]A_1+A_2=8740[/tex]Then:

[tex]\begin{gathered} A_1+A_2+2P+P=2P(1.04)+P(1.12) \\ \\ \Rightarrow8740+3P=3.2P\Rightarrow8740=0.2P \\ \\ \Rightarrow P=43710 \end{gathered}[/tex]So, **the amount invested at 4% interest is $87 420**.

And, **the amount invested at 12% interest is $43 710**.

one afternoon the shadow of a flagpole is 21 feet long at the same time the shadow of 109 foot high building is 54 feet long what is the approximate Height of the flag pole

**Coplanar lines** are referred to as parallel lines because they may be extended indefinitely without ever intersecting. || is the **sign **meaning "**parallel to**." If two lines are drawn, they don't have to be** parallel**, and a third line runs across them as seen in the diagram below. We may obtain eight distinct angles by drawing two parallel lines, and then drawing a **transverse line **through them.

Four pairs of matching **angles** will be created from all eight angles. One of the pairings is represented by angles F and B in the preceding diagram. If the two lines are parallel, corresponding angles are **congruent**.

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Order the following functions by growth rate

The following functions have the following** growth rates**:

2/N < 37 <√N < N < N log log N < N log N < N log(N^2) < N . log^2 . N < N^1.5 < N^2 <N^2. log N < N^3 < 2^N/2 < 2^N

**How can you determine a function's growth rate?**

The present value is divided by the past value, multiplied to the 1/N power, and then one is subtracted to get the formula for the average** growth rate **over time approach.

**How may the growth rates of two functions be compared?**

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when Angel left his house in the morning his cell phone battery was partially charged. Let B represent the charge remaining and Angels battery, as a percentage, T hours since Angel left his house. A graph of B is shown below. Write an equation for fee then State the slope of the graph and determine its interpretation in the context of the problem

[tex]\begin{gathered} POINT\text{ 1 (0,}36\text{)} \\ \text{POINT 2 (}9,0\text{)} \\ Slope\text{ = }\frac{y2-y1}{x2-x1}=\frac{0-36}{9-0}=\frac{-36}{9}=-4 \\ \text{slope}=-4 \\ y=-4x+b \\ U\sin g\text{ point 1} \\ 36=-4(0)+b \\ 36=0+b \\ b=\text{ 36} \\ y=-4x+36 \\ \text{The equation is }y=-4x+36 \end{gathered}[/tex]

Find the value of p if the sum of negative 4

and the quantity p divided 5 is sixteen.

A. 4

B. -60

C. 60

D. 100

**Answer:**

100

**Step-by-step explanation:**

[tex] - 4 + \frac{p}{5} = 16[/tex]

Multiply through by the LCM which is 5

[tex] 5 \times \frac{ - 4}{1} + 5 \times \frac{p}{5} = \frac{16}{1} \times 5[/tex]

[tex] - 20 + p = 80[/tex]

[tex]p = 80 + 20[/tex]

[tex]p = 100[/tex]

Find the scale factor of APMN to AZXY. * X 4 b Z 6 10 9 NV

**Answer: **

**The scale factor is 5 / 2 **

**Explanation: **

**The scale factor is the ratio of the side lengths of the bigger triangle to the smaller triangle. **

**The scale factor is also the ratio of the corresponding sides of the two traingles. **

**The ratio of MP to XZ is **

Simplification gives

[tex]\frac{5}{2}[/tex]**Hence, the scale factor is 5 /2 or 2.5. **

Jerome is constructing a table of values that satisfies the definition of a function.

It is important to know that a function associates to every elemento of x a unique element of y. In other words, x-values should no repeat. Having said that, we can't fill the blank with -1, 0, 11, or 17.

Hence, the answers are -5 and 2.State a conclusion that seems reasonable 6+06, 8+0=8, 9 -9, 100-0-100 Conclusion:

**Answer**

The most obvious conclusion from this is that

**Adding 0 to any number gives that number itself.**

This concept is known as the **additive identity property of 0.**

**Hope this Helps!!!**

Which situation represents a proportional relationship?

O Renting a movie for $2 per day

O Renting a movie for $2 per day with a coupon for $0.50 off for the first day

O Renting a movie for $2 per day along with paying a $5 membership fee

O Renting a movie for $2 for the first day and $1 for each day after the first day

**Answer:**

renting a movie for 2 dollars a day

**Step-by-step explanation:**

the y does not repeat

NEED HELP URGENTLY!!!!!

20. Write a word problem such that the equation

to be formed for solving the problem is

QUESTION 6x +4(x - 10) = 140.

OPEN

In **linear equation, ** x = 18 is the value of x in equation .

**What is a linear equation example?**

6x +4(x - 10) = 140.

6X + 4X - 40 = 140

10X = 140 + 40

10x = 180

x = 180/10

x = 18

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What is the contrapositive of the following sentence?If two triangles are congruent, then their corresponding angles are congruent.

Given:

If two triangles are congruent, then their corresponding angles are congruent.

Contapositive statement:

If two triangles are not congruent , then their corresponding angles are not congruent.

Option **C** is the correct answer

For what values of x is the expression below defined?x+5+ v1 -O A. 5 >x>1B. 5 sxs1C. -5 s x < 1D. 5 > XS-1SUBMIT

The correct range of definition is;

[tex]C;\text{ -5}\leq x<1[/tex]Here, we want to get the range of values of x for which the given expression is defined

The key here is that any value of x that will make us have a negative value inside the root will make the expression undefined as that would give us a non-real root

Now, let us take a look at the options;

a) if x is greater than 1, we will have a negative root on the right, making the expression undefined. This option is wrong

b) This is also wrong; if 5 is less than x, then x might be 6 , which would give a negative root value

c) If -5 is less than x, x could take values of -4, -3, -2 and the root on the right will never be negative. But in cases like this, we have the spectrum upto positive values of x such as 5 which would make the root on the right negative and undefined. This range here is the correct answer

d) Here, 5 is greater than x, so the root on the left can never be negative. For values less than -1, like -6, what we have on the left will be undefined

the ratio to use to find the area of the sector is ____.the area of the circle is ____. the area of the sector is ____.

Ratio = 1/6

Area of circle = 64π

Area of sector = 64π/6 = 32π

Explanation:Area of sector when measured in degrees:

[tex]Areaof\sec tor\text{ = }\frac{\theta}{360}\times\pi r^2[/tex]The ratio here is the ratio of the central angle to 360

ratio = 60/360 = 1/6

the ratio to use to find the area of the sector is 1/6

Area of a circle = πr²

r = radius = 8

Area of a circle = π × 8² = π × 8 × 8

Area of the circle = 64π

Area of sector:

θ = 60°

Area of sector when measured in degrees:

[tex]Areaof\sec tor\text{ = }\frac{\theta}{360}\times\pi r^2[/tex][tex]\begin{gathered} =\frac{60}{360}\times\pi\times8^2 \\ =\frac{1}{6}\times\pi\times8^2 \end{gathered}[/tex][tex]\begin{gathered} \text{Area of sector = }\frac{64}{6}\pi\text{ (in simplest form)} \\ \text{Area of sector = }\frac{64}{6}\pi\text{ = }\frac{32}{3}\pi \end{gathered}[/tex]Which of the following activities are examples of data gathering?Check all that apply.

**Answer.**

**D.**

**Step by step explanation.**

It's defined as the procedure of collecting, measuring, and analyzing accurate insights for research using standard validated techniques.

The most critical objective is ensuring that information rich and reliable data is collected dor statistical analysis so that data-driven decisions can be made for research

Please help! Will give brainliest!

f’(1)=-20

f’(-1 x 2) =-5

f’(-1 x 2) =-5

g(9)+h(-14) if g(x)=14-2/3x and h(x)=-x-7?

The **value** of **g(9) + h(-14)** is **15**.

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If 5 friends want to share 1.25 of a pizza evenly how much pizza would each person get?

**Answer:**

0.25

**Step-by-step explanation:**

1.25 ÷ 5 = 0.25

Answer = 0.25

Hope this helps!

Btw, Brainliest if correct, thanks!

Graph the system of equations 2y=8x+18 24+4y=x

**Answer:**

draw the graphic vertical and edges line

put the dot on line

And put the 2y=8×+18 24+4y=×

can someone please help me out with consumer math. please and thank you

currency-

exchange rate- c

extrinsic value - g

fiat monetary system- e

gold standard - a

intrinsic value

trade

Write a polynomial function f of least degree that has rational coefficients, a leading

coefficient of 1, and the given zeros of -1, 2, and -3i. Show all work.

The **least** degree **polynomial** function with **rational** coefficients and the given zeros, -1, 2 and 3i is f(x) =[tex]x^{2} -x -2(\sqrt{x} -9)[/tex]

What do we mean by** polynomial function**?

A **polynomial** **function** is one that involves only non-negative integer powers or positive integer exponents of a variable in an equation such as the quadratic equation, cubic equation, and so on.

For example, 2x+5 is a **polynomial** with an exponent of one.

So given zeroes are -1 , 2 and 3i

We have,

x = -1

x +1 =0

Similarly for 2

x = 2

x -2 = 0

Again, For 3i

We have, x = 3i

Rewrite as x = [tex]\sqrt{-9}[/tex]

For easy calculation, squaring on both sides

[tex]x^{2} = -9[/tex]

[tex]x^{2} +9[/tex] =0

So, the polynomial has the **function**:

(x + 1)(x - 2) ([tex]\sqrt{x} -9[/tex])

[tex]x^{2} - 2x +x -2 (\sqrt{x} -9)\\x^{2} -x -2(\sqrt{x} -9)\\[/tex]

Therefore, the **least** degree **polynomial** function with **rational** coefficients and the given zeros, -1, 2 and 3i is f(x) =[tex]x^{2} -x -2(\sqrt{x} -9)[/tex].

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Evaluate the following expression when x =2 and z=5

The given expression is

[tex]\frac{z}{5x}[/tex]Let's replace x = 2, and z = 5.

[tex]\frac{5}{5\cdot2}=\frac{1}{2}[/tex]Hence, the answer is 1/2.using trig to find sides

Step 1: Problem

Find the measure of

Step 2: Concept

Use trigonometry ratio to find the value of angle x.

Step 3: Method

Given data

Opposite = 3.2 side facing given angle

Adjacent = 5

[tex]\begin{gathered} U\sin g\text{ tagent formula} \\ \tan \theta\text{ = }\frac{Opposite}{\text{Adjacent}} \\ \tan x\text{ = }\frac{3.2}{5} \\ \tan x\text{ = 0.64} \\ x\text{ = }\tan ^{-1}\text{ 0.64} \\ x\text{ = 32.6} \end{gathered}[/tex]Step 4: Final answer

Simplify the expression.

the expression negative six sevenths times k minus 7 plus the expression 5 plus one half times k

negative 19 over 14 times k plus negative 12

negative 5 over 14 times k plus negative 2

negative 5 over 9 times k plus negative 12

5 over 14 times k plus negative 2

The **simplified **form of the **expression**, negative six sevenths times k minus 7 plus the expression 5 plus one half times k is negative 5 over 14 times k plus negative 2.

Hence, the correct **option **is option (B).

An **algebraic expression **is consists of variables, numbers with various **mathematical operations**,

The given **expression **is,

negative six sevenths times k minus 7 plus the expression 5 plus one half times k.

The **expression **can be written in **mathematical term**,

(-6/7)k - 7 + 5 + 1/2(k)

Simplify the **expression**,

(-6/7)k + 1/2(k) - 7 + 5

((-12 + 7)/14) k - 2

(-5/14) k - 2.

-(5/14)k + (-2)

The simplified form is, negative 5 over 14 times k plus negative 2.

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A triangular pane of glass has a height of 48 inches and an area of 432 square inches. What is the length of the base of the pane? The length of the base of the pane is inches.

We can express the area of a triangle as half the product of its base and height:

[tex]A=\frac{b\cdot h}{2}[/tex]Then, we can express the base in function of the known variables (area and height) as:

[tex]\begin{gathered} A=\frac{b\cdot h}{2} \\ 2A=b\cdot h \\ b=\frac{2A}{h} \end{gathered}[/tex]We replace with the known values (A=432 sq in, h=48 in) and calculate the base b:

[tex]b=\frac{2\cdot432\text{ in}^2}{48\text{ in}}=18\text{ in}[/tex]**Answer: the base is 18 inches.**

Hi I'm doing a Spanish assignment but I'm not sure if it's good enough here are the requirements and my work. Hola Tom! No saba que t fueron bajo en gasolina si t giro Izquierdo t son yendo tener justo al lado un poste azul. Despus t alto en el cartel azul al lado del edificio rojo. no vayas a la edificio amarillo eso es un unidad ms larga. En frente del edificio rojo hay un signo rosa, eso ser justo al lado de la gasolinera. Que tengas un buen da Tom!
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