The point slope form of the slope of escalator and distance is y-24 = 3/4(x-32).
The general point slope form is given by the equation -
y - y1 = m (x - x1)
Now we are given the slope as 3/4. So, keeping the values of y1 and x1 in the equation. Let us assume the points as (32, 24). As per the points, 32 is x1 and 24 is y1.
y - 24 = 3/4(x - 32)
y - 24 = 3x/4 - 3/4×32
Performing division on Right Hand Side of the equation
y - 24 = 3x/4 - 3×8
y - 24 = 3x/4 - 24
Rewriting the equation
y - 3x/4 = - 24 + 24
Solving the equation on Right Hand Side of the equation
y - 3x/4 = 0
y = 3x/4
Thus, the equation is y - 24 = 3/4(x - 32).
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PLEASE HELP! I'LL MARK YOU AS THE BRAINIEST AND I'LL GIVE YOU A LOT OF POINTS!
Answer:
B) -2x+y=8
Step-by-step explanation:
First I looked at the graph and found the y-intercept and slope.
Y-intercept = 8
I found that because the point was the on the y-axis line like (0,8)
To find the slope I identified the next point. From the Y-intercept (0,8), you have to go down 8 units. Then I saw the point go left 4 units which makes it negative.
Slope = -8/4, which is also -2
Slope Intercept Equation (y=mx+b) would be: y=-2x+8
Then I compared it to the options and that's what I got.
Find the area of this circle. Use 3.14 for π.
how to find the range of a function
To find the range of a function: consider a function y = f(x). The spread of all the y values from minimum to maximum is the range of the function. In the given expression of y, replace all the values of x to investigate whether it is positive, negative or equal to other values.
What is the range of a function?The range of a function is the complete set of all possible resulting or output values of the dependent variable (usually labeled by y), after we have replaced the domain. Typically, this will be represented by the letter y or f(x). The range is any number that you can get when you plug in any number for x.
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If RV = 54, find XV.
Step-by-step explanation:
this is a structure of medians in the main triangle.
the center point X divides each median into parts in the ratio 2:1, with X being twice as far from the originating vertex than from the midpoint of the connected side.
so, RX is twice as long as XV.
RV = 54.
RX : XV = 2:1
that means RV consists of 2+1 = 3 equal parts. 2 of these parts are RX, and one part is XV.
how long is one part ?
54/3 = 18.
RX = 2×18, and XV = 1×18
XV = 18
The required measure of the XV in the triangle is 18.
What is the median?The Median is defined as the line joining the vertex of a triangle to the midpoint of the facing side of the triangle.
Triangle RST is given, which consists of median RV, TU, and SW. All the median of the triangle intersects at X.
Now, the property triangle states that the point of intersection of the median(i.e centroid) X divides the median in the ratio of 2:1,
So,XV = 1 / 3 of RV and RX = 2/3 of RV,
Now,
XV = RV/3
XV = 54 / 3
XV = 18
Thus, XV = 18.
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Here are the diameters of four coins:
A coin rolls a distance of 33 cm in 5 rotations. Which coin is it?
A coin rolls a distance of 33 cm in 5 rotations is nickel coin.
What is a diameter?A straight line that runs through the middle of a body or figure from the sideways particularly a circle or sphere is called as a diameter of a circle or sphere.
Given that a coin rolls a distance of 33 cm in 5 rotations.
So that the circumference of the coin is,
33/5 = 6.6 inch.
And the formula for circumference is π 2r, where 2r is the diameter of coin.
Now we will check the diameter of given coins and match with the required coins.
Given coins penny, nickel, dime and quarter have the diameter 1.9 cm, 2.1 cm, 1.8cm and 2.4 cm respectively.
For the coin nickel,
π (2.1) = 6.6
And every coin have different diameter.
Therefore, a coin rolls a distance of 33 cm in 5 rotations is nickel coin.
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multiply the polynomial (x 2y)(x2 - 2xy 4y2). write your answer in descending order. please use the palette below to enter your answer.
The descending order of the polynomial is (x³ + 8y³)
The term polynomial in algebra is defined as an expression which is composed of variables, constants and exponents, that are combined using mathematical operations such as addition, subtraction, multiplication and division
Here we have given that (x+2y)(x²−2xy+4y²)
And we have to multiply the polynomial and write your answer in descending order.
Here we have the polynomial (x+2y)(x²−2xy+4y²).
Now, we have to use the identity
=> a³ + b³ = ( a² − ab + b² ) ( a + b ) ,
Now, we have to apply these identity one the given polynomial, then we get,
=> ( x + 2y ) ( x² − 2xy + 4y² )
=> (x³ + ( 2 y )³) = (x³ + 8 y³) .
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A line passes through the point (2, 3) and is parallel to 2y = 5 – 3x.
Write the equation of the line in slope-intercept form in the space below.
The equation of the line that passes through (2, 3) and is parallel to 2y = 5 - 3x is: y = -3/2x + 6.
What is the Line of Parallel Lines?Given that the line that is parallel to 2y = 5 - 3x passes through the point (2, 3), it means both lines will have the same slope (m).
Step 1: Rewrite the 2y = 5 - 3x in slope-intercept form and determine the slope.
2y/2 = 5/2 - 3x/2
y = -3/2 + 5/2
The slope (m) is -3/2. The slope of the line that is parallel to 2y = 5 - 3x is also -3/2.
Step 2: Substitute m = -3/2 and (x, y) = (2, 3) into y = mx + b to find the value of the y-intercept (b):
3 = -3/2(2) + b
3 = -3 + b
3 + 3 = b
b = 6
Step 3: Write the equation of the parallel line by substituting m = -3/2 and b = 6.
y = -3/2x + 6
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Ed Sloan invests $1,600 at the beginning of each year for eight years into an account that pays 10% compounded semiannually. The value of the annuity due is:
rev: 11_18_2019_QC_CS-190807
Multiple Choice
$41,344.48
$20,127.16
$39,744.59
$37,744.48
The value of the annuity due is $39,744.59.
What is compound interest?Borrowers are required to pay interest on interest in addition to principal since compound interest accrues and is added to the accrued interest from prior periods.
We know the formula for compound interest is,
A = [tex]P\frac{(1 + r)^n -1(1+ r)}{r}[/tex].
Where, A = amount, P = principle, r = rate, and n = time in years.
Given, r = 10% semiannually so it is (10/2) = 5% or 0.05 and n = 8×2 = 16.
∴ A = [tex]1600\frac{(1 + 0.05)^{16} -1(1+ 0.05)}{0.05}[/tex].
A = [tex]1600\frac{(1.05)^{16} -1(1.05)}{0.05}[/tex]
A = [tex]\frac{1600(2.18 -1.05)}{0.05}[/tex].
A = (1600×1.13)/0.05.
A = $39,744.59
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A single letter from the word SQUIRRELLED is chosen. What is the probability of choosing an L or an S? Express your answer as a fraction in lowest terms or a decimal rounded to the nearest millionth.
3/11 is the probability of choosing an L or an S
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given,
The given word is SQUIRRELLED.
We need to choose single letter from the word.
We have to find the probability of choosing an L or an S
If we were to select a letter that was either an L or S from eleven letters. 1 of them being an S and 2 of them being an L.
We simply add:1+2/11
Three divided by eleven
3/11
Hence, 3/11 is the probability of choosing an L or an S
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1. Helen took four tests, for which her mean score was 26. Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15. What was the corrected mean score?
The corrected mean will be 17.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Helen took four tests, for which her mean score was 26.
Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15.
Now,
Since, Later on, it was found that her score in the English test was wrongly recorded as 51 instead of 15.
Hence, The correct mean = 26 - (51 - 15)/4
= 26 - 36/4
= 26 - 9
= 17
Thus, The corrected mean will be 17.
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solve for x using the quadratic formula x2-12x+52=0
There are No Real Roots possible for the Quadratic Equation
What is Quadratic Equation?
Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. where x is an unknown variable and the numerical coefficients a, b, and c.
Solution:
x² - 12x + 52 = 0
Formula to Solve the equation is -b +- (D) / 2a
D is the discriminant
D = √b² - 4ac
D = √12*12 - 4*52
D = √144 - 208
D = √-64
Since the value of Discriminant is negative
Therefore there are no real roots possible for the equation
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solve for g
2(g - 4) = 6
Answer:
g=7
Step-by-step explanation:
To solve this equation, we need to isolate the variable g on one side of the equation. We can do this by first dividing both sides of the equation by 2. This gives us:
g - 4 = 3
Next, we can add 4 to both sides of the equation to isolate the variable g on the left side of the equation. This gives us:
g = 7
Therefore, the value of g that satisfies the equation is 7.
NO LINKS!!
Condense the expression to the logarithm of a single quantity
-4 ln(3x)
Use the properties of logarithms to expand the expression as a sum, difference, and/or constant multiple of logarithms. (Assume the variable is positive.)
1. ln (2x)
Condense the expression:
- 4 ln (3x) = ln (3x)⁻⁴Used property:
n logₐ b = logₐ bⁿPart 2Expand the expression:
ln (2x) = ln 2 + ln xUsed property:
log (ab) = log a + log bAnswer:
[tex]\ln(3x)^{-4}[/tex]
[tex]\ln2 + \ln x[/tex]
Step-by-step explanation:
Given expression:
[tex]-4\ln(3x)[/tex]
[tex]\textsf{Apply the power law}: \quad n \ln x=\ln x^n[/tex]
[tex]\implies \ln(3x)^{-4}[/tex]
---------------------------------------------------------------------------------
Given expression:
[tex]\ln(2x)[/tex]
[tex]\textsf{Apply the product law}: \quad \ln xy=\ln x + \ln y[/tex]
[tex]\implies \ln2 + \ln x[/tex]
In a certain high school, historically 40% of graduates will go on to college. This the year graduating class has 120 students a) Find the expected value and standard deviation of the number of these graduates who will go on to college. b) The record number of graduates from a class who go on to college is 58. Using an appropriate approximate method, find the probability that this year's class will beat that record
(a) The expected value is 48 and the standard deviation is 5.366 .
(b) The probability that this year's class will beat the record is 0.0250 .
In the question ,
it is given that ,
the number of students is (n) = 120
40% of graduates will go on to college , that means (p) = 0.4
Part(a)
the expected value is E(x) is
E(x) = n*p = 120*0.4 = 48 .
the standard deviation is √np(1-q) = √120*0.4*0.6 = √28.8 ≈ 5.366
Part(b)
Using normal distribution for approximation ,
μ = 48 , σ = √28.8 and z = (x - 48)/√28.8 .
P(class will beat the record) = P(x>58)
= P(x>58.5) continuity correlation
= P(Z > (58.5 - 48)/√28.8) = P(Z > 1.96) that is
= 0.0250 .
Therefore , (a) expected value = 48 , standard deviation = 5.366
(b) the required probability is 0.0250 .
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g the complete bipartite graphs kn,n and kn,n 1 have the maximum possible number of edges among al
The complete type of bipartite graphs ,[tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] will have the maximum possible of all number incliding edges among all the present triangle-free nodes i.e., graphs with all same number of vertices.
Approach: The wide variety of edges can be most whilst each vertex of a given set has an aspect to each different vertex of the opposite set i.e. edges = m * n in which m and n are the wide variety of edges in each the sets. that allows you to maximize the wide variety of edges, m need to be same to or as near n as possible.
The two main sets are X = {A, C}, Y = {B, D}.
The vertices for the given set X join, with the vertices Y and vice-versa.
Similar proposition will always holds for bipartite planar type of graphs: any n-vertex bipartite graph (n ≥ 3) includes at most 2n − four edges, moreover, each n-vertex bipartite planar graph may be prolonged to an n-vertex bipartite planar graph with 2n − four edges.
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Correct Question:
Among what g will have a complete bipartite graphs [tex]K_{n.n}[/tex] and [tex]K_{n.n+1}[/tex] have the maximum possible number of edges among it.
Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?
To prove that the triangles are congruent by ASA, the statement and reason could be used as part of the proof is option (A) ∠FGH ≅ ∠KGJ because vertical angles are congruent.
Here we have two triangle FHG and KJG,
The sides HF and the side JK are parallel
The length of the side of the HG and the length of the side JG are equal
HG ≅ JG
According to the ASA property of congruent, if the two angle and one side of the triangle are equal to the two angle and one side of the other triangle, then the both triangles are congruent
Here we have to prove that angle FHG and angle KJG are vertical angles
Here the vertical angles are congruent
Therefore, the statement that can be the part of proof is option (a) angle FGH ≅ angle KGJ because vertical angles are congruent.
I have solved the question in general, as the given question is incomplete
The complete question is:
Given: HF || JK; HG ≅ JG
Prove: FHG ≅ KJG
To prove that the triangles are congruent by ASA, which statement and reason could be used as part of the proof?
a) FGH ≅ KGJ because vertical angles are congruent.
b) JKG ≅ HFG because vertical angles are congruent.
c) FHG ≅ JKG because right angles are congruent.
d) HFG ≅ KJG because alternate interior angles are congruent.
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What is - 8/15 - 3 4/5 mixed number in simplest form?
Answer:
–3 4/15
or
3 4/15
Step-by-step explanation:
Zahra has a bag that contains apple chews, strawberry chews, and lime chews. She performs an experiment. Zahra randomly removes a chew from the bag, records the result, and returns the chew to the bag. Zahra performs the experiment 41 times. The results are shown below:
An apple chew was selected 34 times.
A strawberry chew was selected 5 times.
A lime chew was selected 2 times.
Based on these results, express the probability that the next chew Zahra removes from the bag will be lime chew as a percent to the nearest whole number.
The probability that the next chew would be a lime chew is 5%.
What is the probability?Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.
The probability that the next chew would be a lime chew = number of lime chews / total number of chews
Total number of chews = 34 + 5 + 2 = 41
The probability that the next chew would be a lime chew = (2 / 41) x 100 = 5%
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(a) Write 130% as a decimal.
(a) 130% =
Answer: 1.3
Step-by-step explanation:
We know that in order to convert from percentages to decimals, we divide by 100. Therefore, 130 percent is the same as 1.3.
Answer: 1.3
Step-by-step explanation:
100% is equal to 1. Now we just have to find the value of 30%. Divide 1 by 10 and multiply by 3 to get 0.3. Since 0.3 is 30% and 1 is 100%, 130% = 1 + 0.3 = 1.3.
An easier way of converting is dividing the percentage by 100.
Find the value of x
3/4x(its a fraction) + 5 = 5 -2 (x + 7)
Answer:
Step-by-step explanation:
3/4x + 5 = 5 -2( x + 7 )
First, use Distributive Property.
-2 ( x + 7 ) --> -2x - 14
3/4x + 5 = 5 -2x - 14
Next, you can get rid of the fraction by multiplying EVERYTHING by 4...
3x + 20 = 20 - 8x - 56
Then, move x by subtracting 3x on BOTH sides...
20 = 20 - 11x - 56
Combine like terms...
20 = - 11x - 36
Add 36 on BOTH sides...
56 = - 11x
Divide -11 on BOTH sides...
56/11 = 5.09 repeating
x = 5.0909090909090909...
Correct me if I'm wrong, but there you go!
Researchers randomly selected 1700 people from Canada who had never suffered a heart attack and rated the happiness of each person. Ten years later, the researchers followed up with each person and found that people who were initially rated as happy were less likely to have a heart problem. Which of the following is the most appropriate conclusion based on this study?
Happier people in the study were less likely to have heart problems.
The correct answer is People in Canada who are happier are less likely to suffer cardiac problems.
We have been given four options from which we have to select the correct one.
a. Happiness causes better heart health for all people.
b. Happiness causes better heart health for Canadians.
c. Happiness causes better heart health for the people in the study.
d. Happier people in Canada are less likely to have heart problems.
e. Happier people in the study were less likely to have heart problems.
The researchers followed up with each person 10 times later and discovered that those who had been deemed pleased at the start were no longer so. People in Canada who are happier are less likely to suffer cardiac problems.
Therefore, the conclusion is people in Canada who are happier are less likely to suffer cardiac problems.
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Mai had $210 in her checking
account at the beginning of the month.
She wrote checks for $32 and $9.59. At
the end of the month, the bank credited
her account with $0.84 interest. How
much money did Mai have in the
account then?
Please explain the answer!
Answer: She had 167.57 remaining in her account
Step-by-step explanation:
You add all her expenses and then subtract it from the beginning balance
Solve for x.
60°
(2x+20)°
Answer:
C. 20
Step-by-step explanation:
60 = 2x + 20 ==> solve for x
60 - 20 = 2x + 20 - 20 ==> subtract 20 on both sides to isolate x
40 = 2x ==> simplify
x = 40/2 ==> divide both sides by 2 to isolate x
x = 20 degrees
Answer: C. 20
1. There are 15 pieces of fruit in a bowl and 6 of them are apples. What percentage of the pieces of fruit in the bowl are apples?
A. 0.06% B. 0.4% C. 6%
D. 40%
Answer:
The correct answer is D: 40%.
Step-by-step explanation:
To find the percentage of the pieces of fruit in the bowl that are apples, you need to divide the number of apples by the total number of pieces of fruit and then multiply the result by 100%.
So, you would do the following calculation: (6 apples / 15 pieces of fruit) * 100% = 40%.
can any of you help I pay you!
Answer:
Below
Step-by-step explanation:
The probability of Z given Y would be
7 out of (15+7) = 7/22
Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x+6y= -18
Answer: [tex]y=-\frac{1}{2} x-3[/tex]
Step-by-step explanation:
[tex]3x+6y=-18[/tex]
[tex]-3x[/tex] [tex]-3x[/tex]
[tex]6y=-3x-18[/tex]
[tex]\frac{6y}{6} =\frac{-3x}{6} -\frac{18}{6}[/tex]
[tex]y=-\frac{1}{2 } x-3[/tex]
using monitoring the gfture 2017 data, we examline whther a relationshiop exists bewteeen the race/thnicity of a studetn and how the studetn rates the impoiratnace being a community
Community colleges in the United States play an important role in higher education. In United States, everyone monitors they community colleges are primarily her two-year institutions of higher education that focus on teaching and learning and workforce preparation.
Community colleges are open access institutions that offer economically affordable entry into higher education. About half of first-time college-going students enroll in community colleges, which serve as her transition route to four-year colleges (Beach, 2011). However, despite the important role and primary focus of community colleges, students may view community college instruction as inferior and undesirable to her four-year college (Dougherty, Lahr, & Morest, 2017; Twombly, 2001; Twombly & Townsend, 2008). This general dissatisfied view of community college instruction has much to do with the historical legacy of community colleges, where most two-year schools are either officially called "junior colleges" or "junior colleges." is called Community colleges have reason to brag about progress. It tends to have a higher proportion of female and minority teachers compared to traditional her four-year colleges (Antonio, 2002; Marcotte, Bailey, Borkowski, & Kientz, 2005; Turner, 2001). While the high recruitment rate of minority teachers is laudable, most higher education institutions are still predominantly white and male dominated (with the exception of those serving minorities). Overall, despite the high proportion of women and minority teachers, empirical studies show that such teachers experience high levels of stress and frustration with the way students are treated in the classroom. (Allen et al., 2002; Pittman, 2010). For many teachers and teachers of color, the classroom environment serves as a reminder of the unfortunate social ills that plague our society (Harlow, 2003; Seo & Hinton, 2009).
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Which equation is perpendicular to the line represented by y = 6x +10 and passes through the ordered pair (5, -8)?
1.y+8= -1/6(x - 5)
2.y-5= (1/6x+8)
3.y-(-8)= -6(x - 5)
4.y+8 6(x - 5)
Answer:
option 1
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 6x + 10 ← is in slope- intercept form
with slope m = 6
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{6}[/tex]
the equation of a line in point- slope form is
y - b = m(x - a)
where m is the slope and (a, b ) a point on the line
here m = - [tex]\frac{1}{6}[/tex] and (a, b ) = (5, - 8 ) , then
y - (- 8) = - [tex]\frac{1}{6}[/tex] (x - 5 ) , that is
y + 8 = - [tex]\frac{1}{6}[/tex] (x - 5) ← equation of perpendicular line
we can make statistical inferences aobout populations even if we do not know the true population distribution bcause
Distribution will be possible even if we do not know the true population distribution.
What is a frequency distribution?
The gathered data is arranged in tables based on frequency distribution. The information could consist of test results, local weather information, volleyball match results, student grades, etc. Data must be presented meaningfully for understanding after data gathering. A frequency distribution graph is a different approach to displaying data that has been represented graphically.
Here, the A5 sample size is infinite then the sample distribution becomes normal. So as per the C.L.T n→∞ so distribution is normal.
Hence, Distribution will be possible even if we do not know the true population distribution.
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a model airplane takes off at a constant rate of 7 feet per second.
At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide
If a model airplane takes off at a constant rate of 7 feet per second and the initial velocity of 30 feet per second. The time it takes for the plane collision to occur is 1.437 sec.
How to find the time in seconds?Given data :
T seconds = h=7t
h=-16t^2+30x
Let t represent the time
Hence,
7t=-16t²+30x
7t= -7t
0 =-16t² + 23t
0=-2t(8t +11.5)
0=-2t 0 =8t-11.5
0=t 11.5/8 =8t/t
t = 11.5/8
t = 1.437 sec
Therefore the time is 1.437 sec.
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The complete question is:
a model airplane takes off at a constant rate of 7 feet per second.
At the same time, a ball is launched from ground level with an initial velocity of 30 feet per second. The height of the ball, in feet, after t seconds is given by h=-16t^2+30x Will the airplane and ball collide. Find the time it takes for the plane collision to occur .
