Given:
The two points are P (-1,0) and S (-1,7).
To find:
Whether the line PS is vertical, horizontal or neither.
Solution:
We have, two points P (-1,0) and S (-1,7).
Slope of the line PS is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{7-0}{-1-(-1)}[/tex]
[tex]m=\dfrac{7}{0}[/tex]
[tex]m=\infty[/tex]
We know that the slope of a vertical line is [tex]\infty[/tex].
Since the slope of the line PS is [tex]\infty[/tex], therefore PS is a vertical line.
A ball is thrown from an initial height of 7 feet with an initial upward velocity of 37 ft/s. The ball's height h (in feet) after t seconds is given by the following.
h=7+37t-16t²
Find all values of t for which the ball's height is 27 feet.
round your answer(s) to the nearest hundredth.
Answer:
t = 0.86 or t = 1.45
Step-by-step explanation:
7.2.8 Scientists at the Hopkins Memorial Forest in western Mas- sachusetts have been collecting meteorological and environmen- tal data in the forest data for more than 100 years. In the past few years, sulfate content in water samples from Birch Brook has averaged 7.48 mg/L with a standard deviation of 1.60 mg/L. a. What is the standard error of the sulfate in a collection of 10 water samples
Answer:
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Standard deviation of 1.60 mg/L.
This means that [tex]\sigma = 1.6[/tex]
Collection of 10 samples:
This means that [tex]n = 10, s = \frac{1.6}{\sqrt{10}} = 0.506[/tex]
The standard error of the sulfate in a collection of 10 water samples is of 0.506 mg/L.
Find the common difference of the arithmetic sequence -7, -1, 5, ...
Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
Write an expression for "m decreased by 2.”
Answer:
m-2
Step-by-step explanation:
m is being subrtacted by 2
What is the unit multiplier for days and weeks?
Answer:
days 7
weeks 4
Step-by-step explanation:
there are 7DAYS Iin a week
there are 4WEEKS in a month
PLEASE HELP!!!
Triangle ABC has vertices at A(-5,2), B(1,3), and C(-3,0). Determine the coordinates of the vertices for the image of the pre image is translated 4 units right.
A. A’(-9,2),B’(-3,3), C’(-7,0)
B. A’(-4,6),B’(0,7),C’(1,0)
C. A’(-1,2),B’(5,3),C’(1,0)
D. A’ (-5,-2), B’(-1,-1), C’(-3,-4)
The coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).
What is translation on a coordinate plane?Translation on the coordinate plane is sliding a point or figure in any direction without any changes in size or shape.
During translation, the coordinates of the vertices of a figure or point change, and they slide left or right, up, or down without changing size or shape.
Given the question above, we need to find the coordinates of the vertices for the image of the pre image that are translated 4 units right.
So,
[tex]\rightarrow\sf \boxed{\boxed{-5+4=1=\bold{(-1,2)}}}[/tex]
[tex]\rightarrow\sf \boxed{\boxed{1+4=5=\bold{(5,3)}}}[/tex]
[tex]\rightarrow\sf \boxed{\boxed{-3+4=1=\bold{(1,0)}}}[/tex]
Thus, the coordinates of the vertices for the image of the pre image is translated 4 units right are: ’(-1, 2), B’(5, 3), and C’(1, 0).
Learn more about translation on a coordinate plane at:
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Which of the following is an equation of the line through (2,3) and (-1, -12)?
Answer:
C (y=5x-7)
Step-by-step explanation:
First, you find the slope between the 2 points which is 5, then you use one of the points to form an equation.
You then find it's y=5x-7.
Compare the number of years it will take to double money at 5% interest, with simple interest and compounded annually. What is the difference in the number of years? (Round your answer to the nearest tenth, if necessary)
Answer:
unforntuley i dont know how to solve
Step-by-step explanation:
Simple interest means that you pay 1000000 bucks to the bank so the final answer is
gET LOst
Magic Video Games, Inc., sells an expensive video games
package. Because the package is so expensive, the company wants to advertise an impressive guarantee
for the life expectancy of its computer control system.
The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.
The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer
life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the
Magic Video packages?
Answer:
Magic Video Games, Inc., sells an expensive video games
package. Because the package is so expensive, the company wants to advertise an impressive guarantee
for the life expectancy of its computer control system.
The guarantee policy will refund the full purchase price if the computer fails during the guarantee period.
The research department has done tests that show that the mean life for the computer is 35 months, with standard deviation of 5 months. The computer
life is normally distributed. How long can the guarantee period be if management does not want to refund the purchase price on more than 6.596 of the
Magic Video packages?
Step-by-step explanation:
Calculate the volume of the figure.
2 cm
3 cm
F
|
-
-
-
3 cm
3 cm
O 15 cm
33 cm
O 45 cm
O 54 cm
What is the value of x, if the volume of the sone i
Answer:
33 cm
Step-by-step explanation:
volume of the under the pyramid Is 3×3×3=27
volume of pyramid is 3×3×2=18
divide 18 ÷3 =6
27+6=33
the reason why we divide by 3 because ti's is the formula
Answer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
Find the mean of the data
Answer:
The mean of the data is 3237888
Step-by-step explanation:
12*16*8*31*28*17(Don't include 0)
22665216/7 (The number of days)
3237888(Answer)
Tell me if you have any questions. :)
Answer:
The mean is 16
Step-by-step explanation:
Add all the values together to get 112.
12 + 16 + 0 + 8 + 31 + 28 + 17
= 112.
To find the mean, divide the sum by how many values we added.
We added 7 values, including 0.
112 ÷ 7 =
16. <--- the mean
The average daily temperatures in degrees Fahrenheit for one week in July were 94, 92, 90, 95, 71, 89, and 92. Name any outliers in the data.
Answer:
Interquartile range: 5
Outlier: 71
Potential outlier: none
Step-by-step explanation:
1. 0.5
2. 14
3. 8
4. 10
Answer:
The awnser is 14
Step-by-step explanation:
If you multiply length x width then divide u get 14
PLEASE QUICK AND NO DOWNLOADS I BEG YOU NO DOWNLOADS
Answer:
b. x=20
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
The question is asking which number is bigger than 19 and less than 25.
The only one that fits the criteria is B. 20.
As a reference, look at which way the "alligator mouth" is facing. That number is supposed to be bigger.
If x>y, then x is bigger because the alligator mouth is facing the x.
Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower
Help me with this please
Cory writes the polynomial x7 + 3x5 + 3x + 1. Melissa writes the polynomial x7 + 5x + 10. Is there a difference between the degree of the sum and the degree of the difference of the polynomials?
Answer:
Yes??
Step-by-step explanation:
7+3x5+3x+1
7+15+3x+1
22+3x+1
3x+23
7+5x+10
5x+17
Yes, much difference
---
hope it helps
sorry if i'm wrong, sum of the x's confused me
Answer:D
Step-by-step explanation:
The dot plot shows the number of touchdowns a football team scored in 10 games
Answer:
Step-by-step explanation:
B. The data clustered from 0 to 2
Anna bought textbooks and notebooks at the bookstore. The number of notebooks she bought was four
more than the number of textbooks. If the total number of notebooks she bought was 7, how many
textbooks were bought?
Answer:
3 textbooks
Step-by-step explanation:
Well 7 notebooks were brought.
She brought 4 more notebooks then textbooks.
7-4=3
Answer:
If Anna bought seven notebooks and the number of notebooks she bought was four more than textbooks, all you have to do it subtract four from seven to get three.
Step-by-step explanation:
7 - 4 = 3
Garrick and Zan are measuring the heights of seedling plants for science class.
Use the drop-down menus to complete the statements about the measured heights and the actual heights of the plants.
CLEAR CHECK
Because Garrick's plant is... than Zan's plant, each millimeter of error results in a ....percent error.
Garrick's measurement was ... millimeters off and Zan's was... millimeters off, so Garrick's measurement was ... % off and Zan's was
Garrick's measurement was 2 mm off. (10 - 8 = 2)
Zan's measurement was 12 mm off. (100 - 88 = 12)
Garrick's percent error was 20% (2 / 10 x 100)
Zan's percent error was 12% (12 / 100 x 100)
Please help me because I don’t know
Can someone please help me
Answer:
x = 28
Step-by-step explanation:
Angles on a straight line = 180°
4x + 3 + 2x + 9 = 180
4x + 2x + 3 + 9 = 180
6x + 12 = 180
6x = 180 - 12
6x = 168
6x/6 = 168/6
x = 28
Frank has 6 red socks, 8 black socks, and 10 white socks in his sock drawer. If Frank blindly reaches into his sock drawer, what is the probability that he will select a white sock and then another white sock? Round to the nearest percent A. 9% B. 16% C. 41% D. 80%
Answer:
B
Step-by-step explanation:
The first probability is 10/24, and the second is 9/23. If you multiply these two fractoins you get 15/92. 15/92 is approximately equal to 16%.
does anyone know the answer and how to show your work
Answer: (A)-2, -1
(b) 3,0
(C) 7,2
Step-by-step explanation:
So you just go and write the place and which ever one isnt there then theres you answer. I THINK
NEED HELP ASAP!! 35 POINTS
Rob is a geologist. He is surveying a conical crater that was created by a meteor impact. From one end to another, the crater forms a V shape. The deepest part of the crater is 400 feet deep. The depth of the crater varies at a rate of 0.25 foot with the horizontal distance from the west end of the crater.
The equation that models the depth of the crater, d, in feet, with respect to the horizontal distance in feet from the west end of the crater, h, is d =
. The depth of the crater is 250 feet at horizontal distances of
and
feet from the west end.
Answer:
equation: d(h) = 0.25|h -1600| -400 depth is 250 ft at 1000 ft and 2200 ft from the west edgeStep-by-step explanation:
The crater shape can be modelled by an absolute value function with a slope of 0.25. The vertex of the function will not be at (0, 0) but will be at (1600, -400). The usual methods of translating functions apply. Horizontal displacement of the vertex is subtracted from the independent variable; vertical displacement is added to the function value.
d(h) = 0.25×|h -1600| -400
We know the horizontal displacement is 1600 ft, because the depth changes at a rate of 1/4 foot for each horizontal foot. A depth change of 400 feet will require 1600 horizontal feet to accomplish.
__
At a depth of 250 ft, the distance from the west edge can be found from ...
-250 = 0.25|h -1600| -400
150 = 0.25|h -1600| . . . . . . . . add 400
600 = |h -1600| . . . . . . . . . . . multiply by 4
This resolves to two equations:
-600 = h -1600 ⇒ h = 1000
600 = h -1600 ⇒ h = 2200
The depth is 250 ft at distances of 1000 ft and 2200 ft from the west edge.
Answer:
0.25|x-1,600|-400 / 1,000 / 2,200
Step-by-step explanation:
99% sure
From 250 candidates who sat for a written examination for a job, 45 of them scored above 85%. The personnel division suggested that those candidates who have scored above 85% in the written examination could sit for interview. What percent of the candidates did not have a chance for interview?
82% of the candidates did not have a chance for an interview.
We have,
To find the percentage of candidates who did not have a chance for an interview, we need to subtract the percentage of candidates who scored above 85% from 100%.
Number of candidates who scored above 85%: 45
Total number of candidates: 250
Percentage of candidates who scored above 85%:
= (45/250) x 100%
= 18%
Percentage of candidates who did not have a chance for an interview:
= 100% - 18%
= 82%
Therefore,
82% of the candidates did not have a chance for an interview.
Learn more about percentages here:
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Write the equation of the following circle in general form and standard form. Show your work.
Answer:
I’m coming back to this hold on a sec brotha and be patient
Step-by-step explanation:
HELP PLS. Greatest change
Answer:
looks like D but im not sure
Step-by-step explanation:
Look at the slope in each equation. For the first one is 15, the second is 25, the third is 40, and the fourth is 45.
Which graph and equation shows a proportional relationship between r and y? y= 11.5% y = 1.5x - 1.5
Answer:
y = 1.5x - 1.5
Step-by-step explanation:
Model and Solve Equations with Geometry Concepts (7.11c) . ... Now substitute the values for x and y into the expression. 2(1. 3. )(1. 2. −3) ... 10.0+1.5 = 11.5.
Graph the polynomial function,
f(x) = – x3 + 2x2
See attatched picture