I need help with this please help me

I Need Help With This Please Help Me

Answers

Answer 1

From the given figure

a) The value of y = 6

b) The length of the line RS = 39 units

The length of the line ST = 38 units

The length of the line RS = 6y + 3

The length of the line ST = 5y + 8

The length of the line RT = 77

From the line we can say that

RT = RS + ST

77 = 6y + 3 + 5y + 8

Add the like terms

11y + 11 = 77

11y = 77 - 11

11y = 66

y = 66/11

y = 6

The value of y = 6

The length of RS = 6y + 3

= 6×6 + 3

= 36 + 3

= 39 units

The length of the line ST = 5y + 8

= 5×6 + 8

= 30 + 8

= 38 units

Hence, from the given figure

a) The value of y = 6

b) The length of the line RS = 39 units

The length of the line ST = 38 units

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Related Questions

Some values of linear functions A and B are shown in the table and graph.

​Which of the following describes the intercepts of the two functions?
A
The y−y-y−intercept of Function A is equal to the y−y-y− intercept of Function B.
B
The y−y-y−intercept of Function A is 111 unit less than the y−y-y− intercept of Function B.
C
The y−y-y−intercept of Function A is 111 unit greater than the y−y-y− intercept of Function B.
D
The y−y-y−intercept of Function A is 222 units greater than the y−y-y−intercept of Function B.

Answers

Answer:

C) The y-intercept of Function A is 1 unit greater than the y-intercept of Function B

Step-by-step explanation:

The y-int of Function A is (0,1), while the y-int of Function B is (0,0).

Answer:

C

Step-by-step explanation:

For Function A, the y-intercept occurs at 1. For B, it occurs at 0. Therefore, the y-intercept of Function A is 1 unit greater than the y-intercept of Function B.

Suppose that a particular medical procedure has a cost that is normally distributed with a mean of $19,800 and a standard deviation of $2900. What is the maximum cost that a patient would pay if he is in the lowest 4% of all paying patients?

Select one:
A) $24,875
B) $19,684
C) $14,725
D) $792

Answers

The maximum cost that a patient would pay if he is in the lowest 4% of all paying patients is C) $14,725.

How to calculate the cost?

Given that

mean = $19800

standard deviation = $2900

Using standard normal table ,

P(Z < z) = 4%

P(Z < z) = 0.04

P(Z < -1.75) = 0.04

z = -1.75

Using z-score formula,

x = z * standard deviation + mean

x = -1.75 * 2900 + 19800 = 14725

The maximum cost is $14725

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Shirley buys a piece of remnant fabric that is triangular in shape with a base length of 2 yd and a height measuring one half yd. If the fabric sells for $4.50 per square yard, how much does Shirley pay for the piece of fabric?

Answers

Answer:

the 2 x 0.5 triangle fabric piece cost $2.25

Step-by-step explanation:

Area of a triangle = 1/2 x base x heightbase: 2 yardsheight: 0.5 yards Area of fabric: 1/2 x 2 x 0.5 = 0.5 yards squared

Price per square yard: $4.50Actual price: $4.50 / 2 = $2.25

GD 1 What can be concluded about a line that passes through the points (1.-2) and (4.-2)? Check all that apply.​

Answers

The conclusions for the given points  (1.-2) and (4.-2) are

(A) The slope is 0.

(B) The y-intercept is -2.

(D) The line is horizontal.

(E) The equation of the line is y = -2

Calculating the equation of a line:

The formula used to calculate the equation of the line passing through the points (x₁, y₁) with slope m is given by

=>  (y -y₁) = m(x - x₁)  

Where the formula for Slope is given by

=> m = (y₂ - y₁) /(x₂ - x₁)

Here we have

Given points  (1, -2) and (4, -2)  

Let us check each point one by one

(A) The slope is 0.

To find the slope of the line with given points using the formula

=> m = (y₂ - y₁) /(x₂ - x₁)

=> m = (-2 - (2)) /(4 - (-2)) = 0/6 = 0

∴ The slope of the line = 0

(B) The y-intercept is -2

To find the y-intercept calculate the equation line using the formula

=> (y -y₁) = m(x - x₁)  

=> [y - (-2) ] = 0 (x - 1)

=> y + 2 = 0

=> y = -2

On comparing with the slope-intercept form y = mx+c, we get

y-intercept = -2

∴ The y-intercept is -2.

(D) Here the line is in the form of y = a then the given line will be a Horizontal line.

(E) The equation of the line is y = -2

Therefore,

The conclusions for the given points  (1.-2) and (4.-2) is

(A) The slope is 0.

(B) The y-intercept is -2.

(D) The line is horizontal.

(E) The equation of the line is y = -2

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The complete question:

What can be concluded about a line that passes through the points (1, -2) and (4, -2) Check all that apply.

The slope is 0.

The y-intercept is -2.

The line is vertical.

The line is horizontal.

The line has no y-intercept.

The equation of the line is y = -2

At a music store in New York City, 70 people entering the store were selected at random and were asked to choose their favorite type of music. Of the 70, 18 chose rock, 20 chose
country, 8 chose classical and 24 chose something other than rock, country, or classical.
a) Determine the empirical probability that the next person entering the store favors rock music.
b) Determine the empirical probability that the next person entering the store favors country music.
c) Determine the empirical probability that the next person entering the store favors something other than rock, country, or classical music
a) The empirical probability that the next person entering the store favors rock music is
(Simplify your answer.)
b) The empirical probability that the next person entering the store favors country music is
(Simplify your answer.)
c) The empirical probability that the next person entering the store favors something other than rock, country or classical music is

Answers

The probability of the person favoring rock music is 0.257, favoring country music is 0.285, and favoring something other than rock, country, or classical music is 0.342.

Given that:

Total people = 70

Chose rock = 18

Chose country = 20

Chose classical = 8

Chose something other than rock, country, or classical = 24

a) The empirical probability that the next person entering the store favors rock music is = Total people choosing rock music/ Total people

                                = 18/70 = 9/35 = 0.257

b) The empirical probability that the next person entering the store favors country music is = Total people choosing country music/ Total people = 20/70 = 2/7 = 0.285

c) The empirical probability that the next person entering the store favors something other than rock, country, or classical music is = Total people choosing something other than rock, country, or classical music/ Total people = 24/70 = 12/35 = 0.342.

Hence, the empirical probability that the next person favors rock music is 0.257, favors country music is 0.285, and favors something other than rock, country, or classical music is 0.342.

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What is the quotient of 7.2x10^8 and 3.6x10^5 expressed in scientific notation

Answers

Answer:

2.0 x 10^3

Step-by-step explanation:

 7.2x10^8/3.6x10^5= 2000= 2.0 x 10^3

I need h e l p
△ABC has a right angle at C, BC=9.2 centimeters, and m∠A=63∘.

What is CA ?

Enter your answer rounded to the nearest tenth in the box.

Answers

Answer:

17.8

Step-by-step explanation:

You have to add 9.2 and 63 and the subtract from 90. Hope this helped! <3

i thought of a two-digit number.the digits of my number are different. the units digit f my number is the tens digit raised to the third power. what is my number?

Answers

Answer:

28

Step-by-step explanation:

[tex] {2}^{3} = 8[/tex]

The units digit (8) is the tens digit (2) raised to the third power.


Please help I was sick and missed out on class.Thank you

Answers

Answer:

Y= -1.67x + 0.67

Step-by-step explanation:

Hope this was ok

how many miles per gallon of gasoline would a car get if it gets 24 kilometers per liter?

Answers

Answer:

160.1 divided by 22.3 = 7.179 miles per litre.

This is 7.179 x 4.544 = 32.62 miles per gallon.

hope that will help

keeping in mind that there are about 1.609 Km in 1 mile and that there are about 3.78L in 1 gallon(US)

[tex]\cfrac{24~~\begin{matrix} Km \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{1~~\begin{matrix} L \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{mile}{1.609~~\begin{matrix} Km \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\cdot \cfrac{3.78~~\begin{matrix} L \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{gallon(US)} \\\\\\ \cfrac{24(3.78)}{1.609}\cfrac{mile}{gallon(US)} ~~ \approx ~~ 56.38\frac{mile}{gallon}[/tex]

i am trouble finding out what 2(-4)

Answers

Answer:-8

Step-by-step explanation:

You are basically adding -4+(-4)

Answer:

Step-by-step explanation:

2(-4)

2 x -4

answer: -8

Make a list of all possible rational zeros of f(x)=5x^3+7x^2−81x+45, and then use this list to find all of the functions’ rational zeros, if any exist.

Rational Zero Candidates: ±
Rational Zeros:

Answers

The zeroes of the polynomial are x=3, x=-5 and x=3/5

What are Zeroes of the polynomial?

The locations where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero . The highest power of the variable x is referred to as a polynomial's degree. A linear polynomial is a polynomial with degree 1.

Given:

f(x)=5x³+7x²−81x+45.

let us take x= 3

5(27)+7(9)-81(3)+45

=135+63-243+45

= 243-243

=0

So, 3 is a root of polynomial and x-3 is factor of Polynomial.

Now, divide 5x³+7x²−81x+45 by x-3 we get 5x²+22x-15

Now, factorise 5x²+22x-15.

= 5x²+25x-3x-15

= 5x( x+ 5) - 3(x+ 5)

= (5x - 3)( x+ 5)

Then, x= 3/5 and 5

Hence, the zeroes of the polynomial are x=3, x=-5 and x=3/5

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What do you know about the relationship between lines a and b? justify your conclusion with a theorem or postulate

Answers

Answer:

last answer.

Step-by-step explanation:

First of all, how did you get the second answer?

Line a has to be perpendicular to Line b.

Perpendicular transversal theorem:

In a plane, if a line is perpendicular to one of two parallel lines , then it is perpendicular to the other line also.

In this case, a||c, and line b is perpendicular to line c.

We can therefore use perpendicular transversal theorem to state that line a is perpendicular to line b.

On 1/31/Y1, Bailey Company leased a new machine from Sussex Corp. The following data relate to the lease transaction at its inception:

Lease term 10 years
Annual rental payable at beginning of each lease year $50,000
Useful life of machine 15 years
Implicit interest rate 10%
Present value of an annuity of 1 in advance for 10 periods at 10% 6.76
Present value of annuity of 1 in arrears for 10 periods at 10% 6.15
Fair value of the machine $400,000

The lease has no renewal option, the possession of the machine reverts to Sussex when the lease terminates, and the machine does have alternative uses. The first lease payment of $50,000 is paid at the inception of the lease. What is the amount of the first year's lease expense attributable to the interest component?

A. $0. It is an operating lease so there is no interest component.
B. $33,800
C. $25,750
D. $28,800

Answers

Answer:

the answer is 4

Step-by-step explanation:

the answer is 4

Question 30 of 50
The inequality x ≤ -2 would represent the values {-1, -2, -3}.

False

True

Answers

Answer:

False. -1 is more than -2, so the first value shows it is false.

Suppose you sell 8,000 of the 3 pack of lenses described in question 3 above in one year. You cost on each 3 pack is $29.95 and you sell them for $59.95. If your operating expenses for the year total $144,080, what are your Net Income and Net Profit Margin Percentage?

Answers

Your net income and Net profit margin percentage, given the cost of the pack of lenses, and your operating expenses are:

Net income - $95, 920Net profit margin percentage - 19.3%

How to find the net income?

To find the net income, first find the revenue:

= Number of packs x selling price

= 8, 000 x 59.95

= $479,600

The cost of goods sold is:

= Cost of lenses x number of lenses

= 29.95 x 8,000

= $239, 600

The net income is:
= Revenue - cost of goods sold - operating expenses

= 479, 600 - 239,600 - 144,080

= $95, 920

The net profit margin percentage is:

= Net income / total revenue

= 95, 920 / 497, 600

= 19.3%

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What is 247.968 rounded to the nearest cent

Answers

Answer: 247.97

Step-by-step explanation:

The nearest cent is two decimal places.

NO LINKS!! Please help me with this symmetry. Select all that apply. ​

Answers

We are looking for the functions which are symmetric with respect to the y-axis.

This should be an even function with the vertex on the y-axis.

All functions of odd degree or restricted domain or range are excluded:

Lines, cubic functions, square root or exponent functions.

Possible symmetric functions:

Quadratic, 4th degree etc., absolute value, circles with center on the y-axis.

See the attached. Those with red cross are excluded, with green mark are correct choices.

Answer:

[tex]y=-7x^2[/tex]

[tex]y=8x^2-3[/tex]

Step-by-step explanation:

Functions are symmetric with respect to the y-axis if for every point (a, b) on the graph, there is also a point (-a, b) on the graph:

f(x, y) = f(-x, y)

To determine if a graph is symmetric with respect to the y-axis, replace all the x's with (−x).  If the resultant expression is equivalent to the original expression, the graph is symmetric with respect to the y-axis.

Therefore, any function that includes the term will be symmetric with respect to the x-axis since (-x)² = x².

[tex]\begin{aligned}&\textsf{Given}: \quad& y&=-7x^2\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=-7(-x)^2\\&\textsf{Simplify}: \quad &y&=-7x^2\\\end{aligned}[/tex]

Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.

[tex]\begin{aligned}&\textsf{Given}: \quad& y&=8x^2-3\\&\textsf{Replace $x$ for $(-x)$}: \quad& y&=8(-x)^2-3\\&\textsf{Simplify}: \quad &y&=8x^2-3\\\end{aligned}[/tex]

Therefore, since the resultant expression is equivalent to the original expression, it is symmetric with respect to the y-axis.

ABC is a straight line. The length AB is five times the length BC . AC= 90CM. Work out the length AB

Answers

Answer:

AB = 75cm

Step-by-step explanation:

Let BC equal x. Then AB is 5x because it is 5 times as long.

The whole length is 90, that was given.

Add the pieces, 5x and x, and set them equal to 90.

Solve the equation. See image. Last, calculate AB.

see image.

Simplify this expression. If the answer contains exponents, all exponents should be positive.

Answers

Answer:

below

Step-by-step explanation:

(7p^9)^-4     a negative exponent means move the number up or down in the fraction

=   1 / [ (7 p^9) ^4  ]

           = 1 / ( 7^4 p^36) =   1/(2401 p^36)   <===don't omit the parentheses!

Find the slope of the table below.

Answers

Answer: 10

Step-by-step explanation:

    To find the slope, we will take two points and find the change in y over change in x.

[tex]\displaystyle \frac{y_{2} -y_{1} }{x_{2} -x_{1} } = \frac{35-15}{3-1}=\frac{20}{2} =10[/tex]

    The slope of the table is 10.

Nakeisha is a songwriter who collects royalties on her songs whenever they are played in a commercial or a movie. Nakeisha will earn $30 every time one of her songs is played in a commercial and she will earn $110 every time one of her songs is played in a movie. Nakeisha's songs were played on 2 more commercials than movies, and her total earnings on the royalties from all commercials and movies was $760. Write a system of equations that could be used to determine the number of commercials and the number of movies on which Nakeisha's songs were played. Define the variables that you use to write the system. Please help this is due tonight!!!

Answers

Answer:

z = 30x + 110y

x = y + 2

z = royalties

x = no of commercial

y = no of movies

find a function whose graph is a parabola with vertex (-3,-9) and that passes through the point (-2,-6)

your answer is f(x)= ____

Answers

The function is y = 3(x+3)^2-9

The equation of a parabola is

y=a(x-h)^2+k

where (h,k) are the coordinates of the vertex and a, is a constant.

From the question, we have

(h,k)=(-3,-9)

⇒y=a(x+3)^2-9

To find a, substitute x=-2,y=-6

-6=a(-2+3)^2-9

⇒a=3

The equation, y=3(x+3)^2-9

Multiplication:

Mathematicians use multiplication to calculate the product of two or more numbers. It is a fundamental operation in mathematics that is frequently utilized in everyday life. When we need to combine groups of similar sizes, we utilize multiplication. The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors. Repeated addition of the same number is made easier by multiplying the numbers.

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Hey can someone please explain why you got the answer and how? Thank you so much!

Answers

Answer: 25.12 in

Step-by-step explanation:

The circumference of a circle with a diameter of [tex]d[/tex] is [tex]\pi d[/tex].

So, the circumference is [tex]8\pi \approx 25.12[/tex] in.

A pipe has a diameter of 2.5 inches and a length of 15 inches. The plumber also wants to know how much water can flow through his pipe at one time. To the nearest tenth, what is the volume of the pipe?

Answers

Answer:

volume is approximately 73.6 to the nearest tenth

Step-by-step explanation:

The volume of a pipe is volume = π * radius² * length

diameter = 2.5

radius = 2.5/2 = 1.25 inches

volume = π * 1.25² * 15

volume = π * 1.5625 * 15

volume =  π * 23.4

which is approximately 73.6 to the nearest tenth

Find the equation of the linear function represented by the table
below in slope-intercept form.
X 0,1,2,3,4 y 6,8,10,12,14

Answers

to get the equation of any straight line, we simply need two points off of it, let's use those two in red in the picture below

[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{6})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{12}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12}-\stackrel{y1}{6}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{1}}} \implies \cfrac{ 6 }{ 2 } \implies 3[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{6}=\stackrel{m}{ 3}(x-\stackrel{x_1}{1}) \\\\\\ y-6=3x-3\implies {\Large \begin{array}{llll} y=3x+3 \end{array}}[/tex]

Weekend: The product of the two numbers is 144 and their difference is 10. What is the sum of the two numbers?​

Answers

Answer:

There are two pairs of numbers:

-8      -18

and

18        8

Step-by-step explanation:

a * b = 144      EQ. 1

a - b = 10         EQ. 2

From EQ. 2:

a = 10 + b          EQ. 3

Replacing EQ. 3 in EQ. 1:

(10+b)b = 144

10*b + b*b = 144

b² + 10b - 144 = 0

b = {-10±√((10²)-(4*1*-144))} / (2*1)

b = {-10±√(100+576)} / 2

b = {-10±√676} / 2

b = {-10±26} / 2

b₁ = {-10-26} / 2 = -36/2 = -18

b₂ = {-10+26} / 2 = 16/2 = 8

a₁ - b₁ = 10

a₁ - (-18) = 10

a₁ + 18 = 10

a₁ = 10 - 18

a₁ = -8

a₂ - b₂ = 10

a₂ - 8 = 10

a₂ = 10 + 8

a₂ = 18

Check:

a₁ * b₁ = -8 * -18 = 144

a₂ * b₂ = 8 * 18 = 144

The graphs below have the same shape. f(x)=x2².
What is the equation of the graph of g(x)?

O A. g(x)=x²+2
OB. g(x)=(x-2)²
O C. g(x)=x2²-2
OD. g(x) = (x + 2)²

Answers

According to the concept of translation, the function of g(x) = x² + 2.

Translation:

The concept of translation is defined by using the function f(x) then f(x + a) is a horizontal translation of f(x)

If the value of a > 0 then a shift to the left of a units

If the value of  a < 0 then a shift to the right of a units

Given,

Here we have the function f(x) = x².

Now, we have to find  the equation of the graph of g(x) and how it change in corresponds to f(x).

While we looking the graph, the function f(x) has curved on the origin (0, 0).

Where the function g(x)  has curved the point (2,0).

Which tells the the graph is move left side by 2 units.

So, according to the rule of translation, the value of a is 2.

Then the function g(x) is written as,

=> g(x) = x² + 2.

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Write 375 as the product of prime factors.
Give your answer in index form.

Answers

Answer:

375=5^3 * 3

Step-by-step explanation:

375/5 = 75

75/5 = 15

15/5 = 3

3/3 = 1

Find the area of the shaded region. 3 1/4 and 4​

Answers

Answer:

Step-by-step explanation:

7 1/4 is what i think

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