hi! i'm not really sure if i comprehend this question clearly, but if you're talking about the vowels in the word "numbers"...
Answer:
the letter "u" and "e"
Step-by-step explanation:
vowels in english are: a, e, i, o, u
hope this helped but if you have any others questions, please feel free to let me know!
Gina Wilson unit 4 homework 10 parallel and perpendicular lines PLEASE HELP
Answer/Step-by-step Explanation:
To determine if segment AB and CD are parallel, perpendicular, or neither, calculate the slope of each.
✍️If the slope of AB and CD are the same value, then they are parallel.✅
✍️If the slope of one is the negative reciprocal of the other, then they are perpendicular.☑️
✍️If their slopes are different, or the slope of one is not the negative reciprocal of the other, then they are neither.❌
1. AB formed by (-2, 13) and (0, 3)
CD formed by (-5, 0) and (10, 3)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 13}{0 -(-2)} = \frac{-10}{2} = -5 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 0}{10 -(-5)} = \frac{3}{15} = \frac{1}{5} [/tex].
☑️-5 is the negative reciprocal of ⅕, therefore segments AB and CD are perpendicular
2. AB formed by (3, 7) and (-6, 1)
CD formed by (-6, -5) and (0, -1)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{1 - 7}{-6 - 3} = \frac{-6}{-9} = \frac{2}{3} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 -(-5)}{0 -(-6)} = \frac{4}{6} = \frac{2}{3} [/tex].
✅Segment AB and CD have the same slope value of ⅔. Therefore, they are parallel.
3. AB formed by (-6, 2) and (-2, 4)
CD formed by (-1, 11) and (5, -7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{-2 -(-6)} = \frac{2}{4} = \frac{1}{2} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-7 - 11}{5 -(-1)} = \frac{-18}{6} = -3 [/tex].
❌The slopes of Segments AB and CD are not the same (½ and -3). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
4. AB formed by (-3, 8) and (2, 3)
CD formed by (-4, 6) and (-8, 2)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{3 - 8}{2 -(-3)} = \frac{-5}{5} = -1 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 - 6}{-8 -(-4)} = \frac{-4}{-4} = 1 [/tex].
❌The slopes of Segments AB and CD are not the same (1 and -1). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
5. AB formed by (-8, -1) and (-4, 2)
CD formed by (0, -3) and (12, 6)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{2 -(-1)}{-4 -(-8)} = \frac{3}{4} [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{6 -(-3)}{12 - 0} = \frac{9}{12} = \frac{3}{4} [/tex].
✅Segment AB and CD have the same slope value of ¾. Therefore, they are parallel.
6. AB formed by (6, 5) and (3, -1)
CD formed by (2, -5) and (-4, 7)
Slope of AB = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{-1 - 5}{3 - 6} = \frac{-6}{-3} = 2 [/tex]
Slope of CD = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{7 -(-5)}{-4 - 2} = \frac{12}{-6} = -2 [/tex].
❌The slopes of Segments AB and CD are not the same (2 and -2). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
To determine if the given equations are parallel, perpendicular, or neither, ensure both equations are in the slope-intercept form, y = mx + b, where m is the slope.
7. 3x + 2y = 6 and y = -³/2x + 5
Rewrite the first equation in slope-intercept form
3x + 2y = 6
2y = -3x + 6
y = -3x/2 + 6/2
y = -³/2x + 3
The slope of the first equation is -³/2.
The slope of the second equation is -³/2.
✅Both equations have the same slope value of -³/2. Therefore, they are parallel.
8. 3y = 4x + 15 and 9x + 12y = 12
Rewrite both equations in slope-intercept form.
3y = 4x + 15
y = 4x/3 + 15/3
y = ⁴/3x + 5
And
9x + 12y = 12
12y = -9x + 12
y = -9x/12 + 12/12
y = -¾x + 1
The slope of the first equation is ⁴/3.
The slope of the second equation is -¾..
☑️-¾ is the negative reciprocal of ⁴/3. Therefore both AB equations are perpendicular.
9. 8x - 2y = 4 and x + 4y = -12
Rewrite both equations in slope-intercept form.
8x - 2y = 4
-2y = -8x + 4
y = -8x/-2 + 4/-2
y = 4x - 2
And
x + 4y = -12
4y = -x - 12
y = -x/4 - 12/4
y = -¼x - 3
The slope of the first equation is 4.
The slope of the second equation is -¼..
☑️-¼ is the negative reciprocal of 4. Therefore both AB equations are perpendicular.
10. 3x + 2y = 10 and 2x + 3y = -3
Rewrite both equations in slope-intercept form.
3x + 2y = 10
2y = -3x + 10
y = -3x/2 + 10/2
y = -³/2x + 5
And
2x + 3y = -3
3y = -2x - 3
y = -⅔x - 1
The slope of the first equation is -³/2.
The slope of the second equation is -⅔.
❌The slopes of the first equation and second equation are not the same (-³/2 and -⅔). One is also not the negative reciprocal of the other. Therefore, they are neither parallel nor perpendicular.
11. -4y = -2x + 8 and 3x - 6y = 6
Rewrite both equations in slope-intercept form.
-4y = -2x + 8
y = -2x/-4 + 8/-4
y = ½x - 2
And
3x - 6y = 6
-6y = -3x + 6
y = -3x/-6 + 6/-6
y = ½x - 1
The slope of the first equation is ½.
The slope of the second equation is ½.
✅Both equations have the same slope value of ½. Therefore, they are parallel.
12. y = 8 and x = -1
The first equation is a horizontal line. The slope of am horizontal line is always zero.
The second equation is a vertical line. The slope of a vertical line is undefined.
❌Therefore, they are neither parallel nor perpendicular.
what is the distance between (2,7) and(4,2)
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex]d = \sqrt{ ({2 - 4})^{2} + ({7 - 2})^{2} } [/tex]
[tex]d = \sqrt{ ({ - 2})^{2} + ({5})^{2} } [/tex]
[tex]d = \sqrt{4 + 25} [/tex]
[tex]d = \sqrt{29} [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
The weekly amount of money spent on maintenance and repairs by a company was observed, over a long period of time, to be approximately normally distributed with mean $400 and standard deviation $20. How much should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05
Answer:
$432.9
Step-by-step explanation:
The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given as:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation[/tex]
Given that μ = $400, σ = $20
P(z > z*) = 0.05
P(z < z*) = 1 - 0.05 = 0.95
z* = 1.645
[tex]z=\frac{x-\mu}{\sigma} \\\\1.645=\frac{x-400}{20}\\\\x-400=32.9\\\\x=432.9[/tex]
Therefore $432.9 should be budgeted for weekly repairs and maintenance so that the probability the budgeted amount will be exceeded in a given week is only 0.05.
Mr. Kim paid $360 in interest in one year for his $4,000 car loan. Using the formula for simple interest, what was the rate of interest?
Answer:
The rate of interest is 9%.
Step-by-step explanation:
Given that the formula for simple interest is I = (P×R×T)/100 where I represents interest, P is principle, R is rate interest and T is number of years. So you have to substitute the values into the formula :
[tex]i = \frac{prt}{100} [/tex]
[tex]let \: i = 360,p = 4000,t = 1[/tex]
[tex]360 = \frac{4000 \times r \times 1}{100} [/tex]
[tex]36000 = 4000r[/tex]
[tex] \frac{36000}{4000} = r[/tex]
[tex]r = 9[/tex]
The length of a rectangle is (2x+3) and the width is x-5. If the perimeter is 44cm what is the length of the rectangle?
Perimeter = 2x length + 2x width.
2(2x+3) + 2(x-5) = 44
Simplify:
4x + 6 +2x -10 = 44
Combine like terms:
6x -4 = 44
Add 4 to both sides:
6x = 48
Divide both sides by 6:
X = 8
Now replace x with 8 in the equation for length:
2x + 3 = 2(8) +3 = 16 + 3 = 19 cm
Length = 19 cm
pleaseeeeeeeeeeeeeeeeee helpppppppppppppppppp
Answer:
Option c is the answer
Step-by-step explanation:
3/5 = 0.6
2 divided by 0.6 = 3.3333333
3.33333 = 10/3
10/3 = 3 1/3
Hope this helps :)
Answer:
3 1/3 or 3, depending on if he can play a fraction of a match
Step-by-step explanation:
The question is asking us how many times 3/5 can go into the whole number 2. to find this we can multiply the denominator of the fraction (5) by the whole number we are trying to get with the fraction (2), and this results in 10. if we put this over the denominator, we get 10/5, which results in 2. to find how many times 3/5 can go into 10/5, we will divide 10/5 by 3/5. this results in 3 and 1/3. so he can play 3 1/3 matches.
What happens to the particles in iodine when you increase
the temperature to 200 degrees Celsius?
Answer:
When you have iodine gas at 200 degrees, the temperature and thus pressure as so high, that when cooling down you enter the liquid phase. And when some of this gas then condenses, the pressure drops. So the remaining part of the gas can sublime.
Step-by-step explanation:
Need help !!ILL GIVE BRAINLEST!
Answer:
Step-by-step explanation:
Whats the question???
Please help me on this question too! =)
Answer:
congruent angles
Step-by-step explanation:
Because congruent angles mean when two angles have the same measure.
Answer:
number 2 is the answer............
Congruent Angles
Suppose a local university researcher wants to build a linear model that predicts the freshman year GPA of incoming students based on high school SAT scores. The researcher randomly selects a sample of 40 sophomore students at the university and gathers their freshman year GPA data and the high school SAT score reported on each of their college applications. He produces a scatterplot with SAT scores on the horizontal axis and GPA on the vertical axis. The data has a linear correlation coefficient of 0.506701. Additional sample statistics are summarized in the table below. Sample Variable Sample standard deviation mean Variable description high school SAT score freshman year GPA x= 1504.291401 sx 105.782904 у y = 3.240805 Sy = 0.441205 r=0.506701 slope = 0.002113 Determine the y-intercept, a, of the least-squares regression line for this data. Give your answer precise to at least four decimal places. a =
Answer:
a = 0.0617
Step-by-step explanation:
Given That:
Relationship between GPA and SAT Scores :
Linear correlation Coefficient (r) = 0.506701
x= 1504.291401
Sx = 105.782904
y = 3.240805
Sy = 0.441205
The intercept (a) :
a = y - b(x)
b = slope of the regression line
b = r(Sy/Sx) ;
Hence,
b = 0.506701(0.441205 / 105.782904)
b = 0.506701(0.0041708)
b = 0.0021133485
Hence,
a = y - b(x)
a = 3.240805 - 0.0021133485(1504.291401)
a = 3.240805 - 3.1790919758662485
a = 0.0617130241337515
a = 0.0617
Hence, intercept = 0.0617
I WILL MARK BRAINLIST
Answer:
a
Step-by-step explanation:
is × = 5 a solution to the equation 19 - × = 14
Answer:
19 - 5 = 14
Step-by-step explanation:
this answer is correct
I need help with this can someone help me I have a few other ones as well I don’t understand anyone?
Answer:
x=59
Step-by-step explanation:
The sum of the interior angles of a triangle add up to 180 degrees. That means that (x+12)+(x)+(x-9)=180 degrees in total. If we combine the like terms (combine the xs and regular constant values), the xs add up to 3x (x+x+x) and the regular constants add up to 3 (12+-9=3). If we rewrite this in a more simplified form, we get 3x+3=180. Subtract 3 on both sides to get 3x=177 because we want to isolate x. 3x=177 divide 3 on both sides and we get 59. x=59
A brand of light bulbs has a mean lifetime of 1,500 hours and a standard deviation of 150 hours. A sample of 100 light bulbs gave a mean lifetime of 1,400 hours. What is the margin of error for the sample?
Answer:
15
Step-by-step explanation:
Given that:
Mean (μ) = 1500
Standard deviation (σ) = 150
Sample size = 100
Mean (m) = 1400
Margin of Error of sample :
Standard deviation / √sample size
σ / √n
150 / √100
150 / 10
= 15
The figure below shows total costs for three gym memberships. Which is the most accurate statement?
I'll give brainiest. A theater has 384 seats. Each row has 16 seats. The area model represents this situation.What is the value of x in the area model? Enter your answer in the box.
Answer:
4
Step-by-step explanation:
64 divided by 16 is 4.
To check your answer, you can always add the top: 20+4 which is 24, and multiply that by 16: which is 384-the total number of seats.
Which graph represents a function!!!!???? Pls help
Answer:
The 3rd one.
Step-by-step explanation:
A function needs to have an unique x for every y, This means there can't be 2 xs for a single y. The 3rd one is the only one that satisfies this condition.
At Mr. McNeely's farm, there were 75 sheep and 60 cows. What is the ratio of the number of cows to the number of sheep at Mr. McNeely's farm?
Answer:
4:5
Step-by-step explanation:
The ratio will be 60 : 75
When simplified becomes 4:5
A submarine started at the surface of the water and
was moving down at –15 kilometers per
minute
toward the ocean floor. The submarine traveled at
this rate for 52 minutes before coming to rest on the
ocean floor. What is the depth of the ocean floor?
Answer:
The depth of the Ocean Floor is -780 kilometers
Step-by-step explanation:
The answer is -780 because -15 multiplied by 52 equals -780.
What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)
The required value of θ for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.
What are trigonometric functions?The basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.
The given equation is,
cos(θ)=sin(θ/3-10) (1)
To find the value of θ,
Change the whole equation into one trigonometric function,
Since, cos(θ)=sin(90-θ)
Substitute this value in equation (1)
sin(90-θ)=sin(θ/3-10)
⇒90-θ=θ/3-10
⇒4θ/3=80
⇒θ=60
The value of θ is 60°.
To know more about Trigonometric Function on:
https://brainly.com/question/15768633
#SPJ2
A path for a new city park will connect the park entrance to Main Street, as shown to the right. The path should be perpendicular to Main Street. What is an equation that represents the path?
Answer:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Step-by-step explanation:
To create an equation in slope-intercept form, y = mx + b, for the path, we need to find slope (m) of the path, and also determine the y-intercept (b) of the path.
First, find the slope of the main street:
Using two points on the main street, (2, 3) and (3, 5),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 -x_1} = \frac{5 - 3}{3 - 2} = \frac{2}{1} = 2 [/tex]
Since the path would be perpendicular to the main street, therefore, the slope of the path would be the negative reciprocal of 2.
Thus, the slope of the path, m = -½.
The y-intercept of the path is the point at which the line of the path cuts across the y-axis.
The path intercepts the y-axis at y = 3. Therefore, the y-intercept (b) = 3.
Substitute m = -½, and b = 3 into [tex] y = mx + b [/tex].
✅The equation that represents the path would be:
[tex] y = -\frac{1}{2}x + 3 [/tex]
Answer:
its y=1/2x+4 lol the other guy was 1 off
Step-by-step explanation:
What Is the equation of the line through (2, -1) and (0,5)?
A. y = 3x + 5
B. y=-3x + 5
c. y = 3x - 5
D. y=-3x - 5
Answer:
B
Step-by-step explanation:
To find the equation, we can use the point-slope form:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is a point.
First, we will need to find the slope. Since we have two points, we can use the slope formula:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Let (2, -1) be (x₁, y₁) and let (0, 5) be (x₂, y₂). Substitute and evaluate:
[tex]\displaystyle m=\frac{5-(-1)}{0-2}=6/-2=-3[/tex]
Therefore, the slope m is -3.
Now, we can use the point-slope form. We also need a point. Let’s use (2, -1) for consistency. So, we will substitute -3 for m and (2, -1) for (x₁, y₁). This yields:
[tex]y-(-1)=-3(x-2)[/tex]
We will now convert this to slope-intercept form. Simplify the left and distribute the right:
[tex]y+1=-3x+6[/tex]
Subtract 1 from both sides. Therefore, our equation is:
[tex]y=-3x+5[/tex]
Thus, our answer is B.
if a pilot is randomly selected, find the probability that his weight is between 120 lb and 161 lb witha mean of 130 and 27.3
Answer:
The probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
Step-by-step explanation:
Let X = weight of pilots.
It is provided that X follows a normal distribution with mean, μ = 130 lbs. and standard deviation, σ = 27.3 lbs.
Compute the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. as follows:
[tex]P(120<X<161)=P(\frac{120-130}{27.3}<\frac{X-\mu}{\sigma}<\frac{161-130}{27.3})\\\\=P(-0.37<Z<1.14)\\\\=P(Z<1.14)-P(Z<-0.37)\\\\=0.87286-0.35569\\\\=0.51717\\\\\approx 0.52[/tex]
Thus, the probability that the weight of a randomly selected pilot is between 120 lbs. and 161 lbs. is 0.52.
does anyone know how to solve this?
Answer:
Scale factor is 8
Step-by-step explanation:
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
The scale factor is 1/8.
Step-by-step explanation:
You have to make a fraction, with the first number as the drawing, and the second number as the real painting, as described on the problem. If you take one of the drawing values and the other painting value, 7 and 56, you'll get 7/56 which, if you simplify it, is 1/8. We can say that the scale factor is 1/8.
Which expressions correctly show "the sum of the product of 3 and 8 and the product of 12 and 2"? Select two that are correct. *
3 + 8 + 12 + 2
(12 × 2) + (3 × 8)
3 × 8 × 12 × 2
(3 + 8) × (12 + 2)
(3 × 8) + (12 × 2)
Answer:
The two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)Step-by-step explanation:
Let 'a' and 'b' be the two numbers.
When we say the product of 'a' and 'b', it
algebraically means: a × bLet 'c' and 'd' be the two numbers.
When we say the product of 'c' and 'd', it
algebraically means: c × dAnd when we say the sum of the product of 'a' and 'b' and the product of 'c' and 'd', it algebraically means:
(a × b) + (c × d)
or
(c × d) + (a × b)
as
(a × b) + (c × d) = (c × d) + (a × b)
So when we say "the sum of the product of 3 and 8 and the product of 12 and 2".
It algebraically means:
(12 × 2) + (3 × 8)
or
(3 × 8) + (12 × 2)
as
(12 × 2) + (3 × 8) = 24 + 24 ∵ 12 × 2 = 24, 3 × 8 = 24
= 48
(3 × 8) + (12 × 2) = 24 + 24 ∵ 3 × 8 = 24, 12 × 2 = 24,
= 48
Therefore, the two correct expressions are:
(12 × 2) + (3 × 8)(3 × 8) + (12 × 2)1. What is the rate of change(slope) of the following linear equation x-3y = 12?
Answer:
m= 1/3
Step-by-step explanation:
What transformation happened to the parent linear function when the m is changed to 3? Parent equation: y=x. New equation y=3x
Answer:
Step-by-step explanation:
the funtion was dilated by a factor of 3 since insted or x we have 3x
number 4 plz and thank u
Answer:
22 weeks
Step-by-step explanation:
it is 22 weeks because if you divide 39 by 2 then it is 19.5 and if you divide 429 by 19.5 you will get 22 hope this helps.
Look at the list below do the numbers show a pattern? explain how you know. 11.23, 10.75, 10.3, 9.82, 9.37, 8.89
need someone’s help with this please!!!
