Answers
The equation Y=3/4x+3/2 is a slope intercept form equation for line AB.
What is equation?An equation is a mathematical statement that two expressions are equal. It consists of two expressions separated by an equals sign and can contain numbers, variables, and operators. Equations are used to solve problems, make predictions, and describe relationships between different quantities. Equations can also be used to represent physical laws and other phenomena.
This equation is written in the form y=mx+b, where m is the slope of the line and b is the y-intercept of the line. In this equation,
the slope m is equal to 3/4 and the y-intercept b is equal to 3/2. The slope of the line AB is 3/4, so the line has a positive slope, and the y-intercept of the line AB is 3/2.
This equation can be used to find the coordinates of any point on the line AB, as well as the equation of the line itself.
To know more about equation click-
https://brainly.com/question/2972832
#SPJ1
Related Questions
Model the situation with the sum of polynomials. Simplify their sun.
A rectangular picture frame has the dimensions shown in the figure. Write a polynomial that represents the perimeter of the frame.
Answers
Answer:
16x-2
Step-by-step explanation:
Perimeter is 2w+2l
so we plug it in
2(3x+1) + 2(5x-2)
now we distribute
6x+2 + 10x -4
now we add like terms
6x+10x+2-4
16x-2
The last time troy checked, his dog weighed 60 kilograms. troy just measured his dog again and found out that it weighs 5% less now. how much does the dog weigh now?
Answers
Answer:
57 kg
Step-by-step explanation:
5% less means it weighs 95% of what it used to weigh
95% is .95 in decimal
.95 * 60 = 57 kg
If point a (-8, 9) was rotated clockwise 180o about the origin, what would its new coordinates be?
Answers
Answer:
(8, -9)
Step-by-step explanation:
Hope this helps:)
The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).
According to the question,
The point (-8,9) is rotated 180° in clockwise direction about the origin, the new coordinates is (8,-9).
Hence, the new coordinates is (8,-9).
Learn more about rotation here
https://brainly.com/question/10091964
#SPJ4
I was born on saturday. got marries the 10,000 day of my life. what day of the week is it?
Answers
Answer:
Tuesday
Step-by-step explanation:
Days of the week repeat every seven days, so Saturday is day (1+7n) for some integer n.
Number of weeksThe value of n that makes the day number just under 10,000 is ...
1 +7n ≤ 10000
7n ≤ 9999
n ≤ 1428 3/7
Day of the weekSo, Day 1 +1428·7 = 9997 is Saturday. Day 10,000 is 3 days later. That makes Day 10,000 a Tuesday.
__
Additional comment
1428 weeks is about 27.5 years. You got married at age 27.
In which diagram do angles 1 and 2 form a linear pair?
2 lines intersect and form 4 angles. Labeled clockwise from the top: blank, 2, blank, 1.
3 lines extend from a point and form 2 angles, labeled 1 and 2. Both angles add up to 90 degrees.
A horizontal line has 2 lines extending from a midpoint forming 3 angles. Labeled from left to right: 1, 2, 3.
A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
Mark this and return
Answers
The diagram where angles 1 and 2 form a linear pair is D. A horizontal line has 1 line extending from it. Angles 1 and 2 are formed.
What is a linear pair?It should be noted that a linear pair simply means angles that are formed when two lines intersect each other at a single point.
In this case, when a horizontal line has 1 line extending from it. Angles 1 and 2 are formed. This depicts a linear pair
In conclusion, the correct option is D.
Learn more about linear pair on:
brainly.com/question/13218054
#SPJ1
Using the table below, find the mean and median of the set of data.
Note: Round all numbers to the nearest tenth.
Answers
Using their concepts concept, we have that:
a) The mean of the data-set is of 81.6.
b) The median of the data-set is of 80.
What is the mean?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations.
In this problem, there are 2 + 8 + 6 + 3 + 9 = 28 observations, hence the mean is:
M = (70 x 2 + 75 x 8 + 80 x 6 + 85 x 3 + 90 x 9)/28 = 81.6.
What is the median?The median of a data-set is the 50th percentile, the value that separates the median in two halfs.
This data-set has an even number of elements, hence the median is the mean of the 14th and 15th elements, as 28/2 = 14. Both elements are 80, hence the median is of 80.
More can be learned about the mean and the median of a data-set https://brainly.com/question/13202035
#SPJ1
Round your answer to the nearest percent.
Answers
Answer:
Step-by-step explanation:
Givens
Number not using given app = 71
Total number of students = 219
% = ?
Solution
P(~given app) = 71 / 219
P(~given app) = 0.324
% = 0.324 * 100 = 32.4%
Answer
32.4% do not use Given App
Divide the following polynomials. Then place the answer in the proper location on the grid. Write the quotient and remainder as a sum in this format: quotient, remainder/ divisor. Do not include parentheses in your answer. 8y square- 4y+1 over 2y-1
Answers
For the division of the given polynomials, quotient = 4y and remainder =1
What is a polynomial?Algebraic expressions called polynomials include constants and indeterminates.
A specific kind of expression is a polynomial. A mathematical statement without the equals symbol (=) is called an expression.
An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Constants and variables are components of a polynomial.
A polynomial is written in its standard form when its descending power of the variable is used.
[tex]\frac{8y^{2}-4y+1 }{2y-1}[/tex]
Quotient = 4y
Remainder = 1
Learn more about polynomials here:
https://brainly.com/question/5659345
#SPJ1
write 5 consecutive odd integers preceding -31
Answers
Based on the given task content; the five consecutive odd integers preceding -31 are: -21, -23, -25, -27, -29
Odd integerAn integer can either be a positive value or negative value.Odd integers are integers which can not be divided by 2 without a remainder.Examples of odd integers are; 1, 3, 5, 7, 9 etc.Preceding means before a particular thing.Odd integers preceding -31
= -1, -3, -5, -7, -9, -11, -13, -15, -17, -19, -21, -23, -25, -27, -29
Therefore, Five consecutive odd integers preceding -31 are: -21, -23, -25, -27, -29
Learn more about odd integer:
https://brainly.com/question/16019734
#SPJ1
Find the perimeter and area of the figure shown in the picture.
Answers
Answer:
52 units
Step-by-step explanation:
Perimeter = sum of it sides =
15 + 8 + 6 + 17 + 6
= 52
what are the solutions to 5x^2 - x - 1 < 0
Answers
Using the equation to find x,
x= 1/10 +- 1/10sqrt21
Answer is
1/10 - 1/10sqrt21 < x < 1/10 + 1/10sqrt21
A company wishes to manufacture a box with a volume of 40 cubic feet that is open on top and is twice as long as it is wide. Find the width of the box that can be produced using the minimum amount of material.
Answers
The width of the box is 3 ft that can be produced using the minimum amount of material.
What are the volume and surface area of a box?Consider a box with length 'l', width 'w' and height 'h',
Volume V = l × w × h
Surface area S = 2(lw + wh + hl)
Calculation:It is given that,
Volume of the box V = 36 cubic feet and l = 2w
Using the formulae,
V = 2w × w × h = 2w²h ...(1)
S = (2w² + 2wh + 4wh) = 2w² + 6wh ... (2) (here only single lw is considered since it is open top)
From equation (1),
36 = 2w²h
⇒ w²h = 18
⇒ h =18/w²
equation (2) becomes
S = 2w² + 6w(18/w²) = 2w² + 108/w ...(3)
So, for a minimum amount of material, the width of the box is,
On differentiating the surface area w.r.t 'w'
S' = 4w - 108/w²
For a minimum amount, substituting S' = 0 we get,
0 = 4w - 108/w²
⇒ 4w = 108/w²
⇒ 4w³ = 108
⇒ w³ = 27
∴ w = 3 feet
Therefore, the width of the given box is 3 feet.
Learn more about volume and surface area here:
https://brainly.com/question/13522634
#SPJ4
The gas co2 is diffusin at steady state through a tube 20 cm long having a diameter of 1 cm and containing n2 at 350 k . the total pressur is constant at 101.3kpa . the partial pressure of co2 at one end is 456 mmhg and 76 mmhg at the end . the diffusivity is 0.167 cm2 /s at 298 k . calculate the mass rate of co2 if the partial pressure remains constant.
Answers
The value is J = 1.71*10^-6 kmol/m^2.s
According to the given conditions we get,
The length the tube l= 0.20m
The diameter of the tube d= 0.01m
The total pressure inside the tube P= 101.32kPa
The partial pressure of CO2 at the first end is
P1= 456mm Hg = 60794.832 Pa
The partial pressure of CO2 at the other end is
P2= 76mm Hg = 10132.472 Pa
The temperature is T = 298 K
The diffusion coefficient D= 1.67* 10^-5 m^2/s
Generally the molar flux of CO2 is mathematically represented as
J= D{p1-p2} / R.T
Here R is the gas constant with value R= 8.314 j/kmol
So we get J= 1.71 * 10^-3 mol/m^2.sec
Learn more about Mole on:
https://brainly.com/question/27270616
#SPJ4
Kira is trying to drink more water and juice each day. The difference in the amount of water in a jug and the amount of juice in the bottle she is drinking from is 192 ounces. She has consumed a total of 42 ounces, which is StartFraction 3 Over 32 EndFraction of the bottle of juice and StartFraction 9 Over 64 EndFraction of the jug of water. Which system of equations can be used to determine the total number of ounces in the jug of water, x, and the total number of ounces in the bottle of juice, y?
Answers
The required system of equations that can be used to determine the total number of ounces in the jug of water (x), and the total number of ounces in the bottles of juice (y) is
[tex]x - y = 192[/tex]
[tex]\frac{9}{64}x+\frac{3}{32}y=42[/tex]
How to write an equation?To write an equation,
Observe the variable term in the given informationConsider more or less as addition or subtraction of the termsEquate the terms with the given valuesThus, the expression formed is called an equation.Calculation:It is given that,
The difference between the jug of water and the bottle of juice that Kira is drinking is 192 ounces
Kira has consumed a total of 42 ounces, which is 3/32 of the bottle of juice and 9/64 of the jug of water.
Consider,
The total number of ounces in the jug of water = x
The total number of ounces in the bottle of juice = y
Applying these variables in the above sentences,
[tex]x-y=192[/tex]
[tex]\frac{9}{64}x+\frac{3}{32}y=42[/tex]
Therefore, these two equations are used to determine the total number of ounces in the jug of water and the bottle of juice.
Learn more about equations here:
https://brainly.com/question/14323743
#SPJ1
The shape of f(x) = √ x, but shifted nine units to the left and then reflected in both the x-axis and the y-axis
Answers
Answer:
g(x) = -√(-x +9)
Step-by-step explanation:
The relevant transformations are ...
f(x -h) . . . . . shifts the graph of f(x) right h unitsf(x) +k . . . . . shifts the graph of f(x) up k units-f(x) . . . . . . . reflects the graph of f(x) over the x-axisf(-x) . . . . . . . reflects the graph of f(x) over the y-axisApplicationApplying the transformations in the specified order, we have ...
f(x) = √x
f(x +9) = √(x +9) . . . . . . . shifted 9 units to the left
-f(x +9) = -√(x +9) . . . . . . shifted 9 left, reflected in the x-axis
-f(-x +9) = -√(-x +9) . . . . shifted 9 left, reflected in x-axis, reflected in y-axis
The shifted, reflected function is ...
g(x) = -√(-x +9)
__
Additional comment
The graph shows the original f(x) = √x function in red. The shifted, reflected function is shown in blue. Note that the initial left shift changes appearance to a right shift when it is reflected over the y-axis.
4. You read an article in your local newspaper about a discussion between the owner of a popular business and a group
of community members. The business owner keeps a flag raised on an outdoor flagpole during nighttime hours, but
the community members are calling for the flag to be properly illuminated at night. The business owner says that the
flag cannot be illuminated because the only power source available for the spotlights is solar power, but there is too
much shade on the ground for solar-powered spotlights to charge sufficiently during the day.
You realize that you can offer a solution to the problem by suggesting that the solar-powered spotlights be mounted
on the roof of the building where it can be charged by sufficient sunlight. You decide to contact the business owner to
suggest angling the spotlight down to the raised flag from the roof instead of angling it up to the raised flag from the
ground. The business owner informs you that the flagpole is located 55 feet from the building. If the building is 45 feet
high and the flagpole is 25 feet high, at what angle should you tell the business owner to angle a spotlight mounted on
the roof? Please show all your work.
य
Answers
The business owner should be told to angle a spotlight mounted on the roof at the angle of =39°
Calculation of angleThe distance of the flagpole from the building = 55ft
The building has the height of = 45ft
The flagpole has the height of = 25ft
The angle can be calculated using the formula;
Tan θ = opposite/adjacent
Where opposite= 45ft
adjacent = 55ft
Tan θ = 45/55 = 0.82
θ = Tan–¹0.82
θ = 39°
Learn more about angles here:
https://brainly.com/question/25716982
#SPJ1
.For a field trip, 6 students rode in cars and the rest filled 8 buses. How many students were in each bus if 326 students were on the trip?
Let s represent the number of students on each bus.
Equation:
Answer:
Answers
Answer:
(326-6) ÷ 8 = s
40 = s
Step-by-step explanation:
You are flying a kite in a competition and the length of the string is 725 feet and the angle at which the kite is flying mesures 35” with the ground. How high is your kite flying?
Answers
The kite is flying 415.84 feet from the ground
How to determine the height?The given parameters are:
Length of the string, L = 725 feetAngle, x = 35 degreesLet the height be h.
So, we have the following sine function
sin(x) = h/L
Make h the subject
h = L * sin(x)
This gives
h = 725 * sin(35)
Evaluate
h = 415.84
Hence, the kite is flying 415.84 feet from the ground
Read more about elevation at:
https://brainly.com/question/16716174
#SPJ1
Help with these two problems and show work please having trouble solving them !
Answers
Answer:
see explanation
Step-by-step explanation:
to find the zeros let f(x) = 0
1
f(x) = 0 , that is
x(x + 10) = 0
equate each factor to zero and solve for x
x = 0
x + 10 = 0 ⇒ x = - 10
2
f(x) = 0 , that is
x(x - 3) - 4(x - 3) = 0 ← factor out (x - 3) from each term on the left side
(x - 3)(x - 4) = 0
equate each factor to zero and solve for x
x - 3 = 0 ⇒ x = 3
x - 4 = 0 ⇒ x = 4
Answer:
1) x₁ = 0, x₂ = -10
2) x₁ = 3, x₂ = 4
Step-by-step explanation:
Given functions:
[tex]1)\ f(x)=x(x+10)[/tex]
[tex]2)\ f(x)=x(x-3)-4(x-3)[/tex]
.................................................................................................................................................
Zero Product Property: If m • n = 0, then m = 0 or n = 0.
Distributive Property: a(b + c) = ab + ac.
Standard Form of a Quadratic: ax² + bx + c = 0.
.................................................................................................................................................
The Zero Product Property
1) f(x) = x(x + 10)
Step 1: Set the function to zero.
[tex]\implies 0=x(x+10)[/tex]
Step 2: Apply the Zero Product Property.
[tex]\boxed{x_1=0}[/tex]
[tex]x+10=0\implies \boxed{x_2=-10}[/tex]
The solutions to this quadratic are: [tex]x_1=0,\ x_2=-10[/tex].
.................................................................................................................................................
The Zero Product Property
2. f(x) = x(x - 3) - 4(x - 3)
Step 1: Set the function to zero.
[tex]\implies 0 = x(x - 3) - 4(x - 3)[/tex]
Step 2: Factor out [tex]x- 3[/tex].
[tex]\implies 0 = (x - 3)(x - 4)[/tex]
Step 3: Apply the Zero Product Property.
[tex]x-3=0\implies \boxed{x_1=3}[/tex]
[tex]x-4=0 \implies \boxed{x_2=4}[/tex]
The solutions to this quadratic are: [tex]x_1=3,\ x_2=4[/tex].
.................................................................................................................................................
Learn more about quadratic functions here:
brainly.com/question/27638369
Find the mean and standard deviation for the set of data. {22,21,20,4,19,6,24,11,26} A. mean: 17; standard deviation: 8.1 B. mean: 17; standard deviation: 7.53 C. mean: 20; standard deviation: 8.1 D. mean: 20; standard deviation: 7.53
Answers
Using it's concepts, the mean and the standard deviation of the data-set are given as follows:
B. mean: 17; standard deviation: 7.53.
What are the mean and the standard deviation of a data-set?The mean of a data-set is given by the sum of all values in the data-set, divided by the number of values.The standard deviation of a data-set is given by the square root of the sum of the differences squared between each observation and the mean, divided by the number of values.The mean for this problem is:
M = (22 + 21 + 20 + 4 + 19 + 6 + 24 + 11 + 26)/9 = 17
The standard deviation is:
[tex]S = \sqrt{\frac{(22-17)^2+(21-17)^2+(20-17)^2+(4-17)^2+(19-17)^2+(6-17)^2+(24-17)^2+(11-17)^2+(26-17)^2}{9}} = 7.53[/tex]
Hence option B is correct.
More can be learned about the mean and the standard deviation of a data-set at https://brainly.com/question/28048096
#SPJ1
Shannon wants to make snack bags that contain an equal amount of three different types of nuts. If she has 26
almonds, 78 pecans, and 52 peanuts, what will be the most number of bags she can have?
Answers
Step by step
First find the least common multiple (LCM) of the 3 nuts. First I checked to see if 26 was a multiple of 78 and 52, yes it is! 26 is the LCM.
26/26 = 1 almond per bag
52/26 = 2 peanuts per bag
78/26 = 3 pecans per bag.
So all 26 bags will contain 1 almond, 2 peanuts and 3 pecans.
Problem solved. Not a very big snack bag in my opinion.
What is the y-intercept of the function f(x)=-2/9x + 1/3?
Answers
Answer:
y-intercept = [tex]\frac{1}{3}[/tex]
Step-by-step explanation:
the coefficient is the slope (slope = -2/9x)
the constant is the y-intercept (y-intercept=1/3)
this is true for all functions like this
Answer:
The y-intercept is
c) 1/3
Step-by-step explanation:
Which of the following shows 2x^3Y - 3x^2 + 7y^2x - 12y written in standard form? Answers in photo thank you
Answers
Answer:
[tex] \large{ \boxed{\tt{2 {x}^{3}y + 7 {y}^{2} x - 3 {x}^{2} - 12y}}}[/tex]
- All you gotta do is writing the polynomial in the descending order of the power of the variable.
---- HappY LearninG <3 -------
You always have to tell us to sign and we need the answers so bad why don't you close this website because you don't even give us the answer f u
Answers
nevan typed 110 words in 2 2/4 minutes. at this rate.how many words can he
type in 4 1/4
Answers
Answer:
ther will be 240 words in 4 1/4
Answer:
187 words.
Step-by-step explanation:
His rate of typing = 110 / 2 2/4
= 110 / 2.5
= 44 words / minute.
So in 4 1/4 minutes he will type
44 * 4 1/4
= 176 + 11
= 187 words.
how many 2/7 are in 150
Answers
How many 2/7 are in 150 ?
= Their are 525.
I HOPE IT HELP YOU
There are 525 number of fraction 2/7 in number 150.
What is fraction?Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator, below one is called denominator.
Given,
fraction = 2/7
Given number = 150
Number of 2/7 in 150
= 150 ÷ 2/7
= 150 × 7/2
= 1050/2
= 525
Hence, 525 is the number of fraction 2/7 in number 150.
Learn more about fraction here:
https://brainly.com/question/10708469
#SPJ2
POSSIBLE OUTCOMES!!!
A bag contains 1 white (W), 3 blue (B1, B2, B3), and 2 red (R1, R2) marbles.
Use a tree diagram to list all the possible outcomes for tossing a coin and then drawing a marble from the bag.
Answers
The possible outcomes are WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
How to determine the possible outcomes?The given parameters are:
Coin = Head (H) and Tail (T)
Marble = W, B, B, B, R, R
See attachment for the tree diagram
From the tree diagram, we have the following possible outcomes
WH, BH, BH, BH, RH, RH, WL, BL, BL, BL, RL, RL
Read more about tree diagram at:
https://brainly.com/question/13311154
#SPJ1
what is 7+6-8x5=????
Answers
Answer:
Step-by-step explanation:
7+6-8x5=
7+6-40=
13-40=
-37
if the x is multiplying
Help help pls, ASAP!!! (Geometry)
“Complete the proof”
Answers
1) [tex]\overline{WX} \cong \overline{UY}[/tex], [tex]\angle YXZ \cong \angle XYZ[/tex] (given)
2) [tex]\overline{XY} \perp \overline{XY}[/tex] (reflexive property)
3) [tex]\triangle WXY \cong \triangle UYX[/tex] (SAS)
4) [tex]\overline{WY} \perp\overline{ UX}[/tex] (CPCTC)
If you borrow $800 for 10 years at an annual interest rate of 12%, how much will you pay altogether?
Answers
Answer:
the principal amount is 10000 is the rate of interest is 10 and the number of years is 10 you can calculate the simple interest a is equal to 10000 1 + 0 is equal to 1.6 is equal to 16000 interest is equal to a - b is equal to 6000 - 1000
Answer:
$1,760
Step-by-step explanation:
So I'm assuming the interest is simple interest rate which means that the interest applied each year is 12% of the original amount.
So this means that we can find the interest rate from one year by finding 12% of 800, and to do this we convert 12% to a decimal by dividing by 100 to get 0.12 and then use this decimal value to multiply by 800 to get: 0.12 * 800 = 96.
This means annually $96 will be charged in interest. To find how much interest there is after 100 years, simply multiply by 10, to get $96 * 10 = $960.
This is only the interest rate, it's like a fee, you still have to pay back the original amount, so all together you pay: $ borrowed + interest
So we add the interest rate 960 to the amount borrowed 800 to get: 960 + 800 = 1,760