Answer:
Yes it does
Step-by-step explanation:
we would like to Prove the following for x=1:
[tex] \displaystyle {x}^{2} - x = 0[/tex]
since x=1 substitute:
[tex] \displaystyle {1}^{2} - 1 \stackrel {?}{=}0[/tex]
to simplify it we can consider the order of PEMDAS which is a abbreviation of
ParenthesesExponentMultiplication orDivision Addition orSubstractionsince exponent come first
simplify exponent:
[tex] \displaystyle {1}^{} - 1 \stackrel {?}{ = }0[/tex]
simplify substraction:
[tex]\displaystyle 0 \stackrel { \checkmark}{ = }0[/tex]
since left hand side equal to right hand side
hence, Proven
Alternate way:use a²-b²=(a+b)(a-b) to rewrite:
[tex] \displaystyle (x + \sqrt{x} )(x - \sqrt{x} ) = 0[/tex]
since x=1 substitute:
[tex] \displaystyle (1 + \sqrt{1} )( 1- \sqrt{1} ) \stackrel {?}{=} 0[/tex]
simplify square root:
[tex] \displaystyle (1 + 1)( 1- 1 ) \stackrel {?}{=} 0[/tex]
simplify parentheses:
[tex] \displaystyle (2)( 0) \stackrel {?}{=} 0[/tex]
Multiplying any number by 0 results 0 thus
[tex] \displaystyle 0 \stackrel { \checkmark}{=} 0[/tex]
since left hand side equal to right hand side
hence, Proven
Given,
x = 1
We need to find if x² - x = 0 is true or false.
If x = 1, then x² will be equal to 1² = 1 (1 multiplied by 1 is one / 1 square is equal to 1)
So,
=》x² - x = 0
By substituting ...
=》1² - 1 = 0
Now calculate...
=》1 - 1 = 0
=》0 = 0
•°• The given statement is true.
_____
RainbowSalt2222 ☔
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.
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:
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).
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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.
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
Find the common difference of the arithmetic sequence -7, -1, 5, ...
Answer:
d = -6
Step-by-step explanation:
common difference, d = -7-(-1) = -6
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.
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.
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
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
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 area of a square can be found using the equation A = s², where A is the area and s is the measure of one side of the square.
Match the equation for how to solve for the side length of a square to its description.
Drag the equation into the box to match the description.
--------------------------------------------------------------------------------------------------------
[ A square has an area of 99 in² ][ - ]
--------------------------------------------------------------------------------------------------------
A.) s=/99in
B.) s=(99)^2in
C.) s=99in
Answer:
s= √99 in.
Step-by-step explanation:
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:
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
Which value of x would make TV IOS?
R
03
08
x
x + 4
10
X + 10
11
T
X-3
V
//
х
Answer:
11
Step-by-step explanation:
the value of x is 11 to make tv IOS
The measure value of y is 10.
Option C is correct.
What is Basic Proportionality Theorem?When a line parallel to one side of a triangle intersects the other two sides in distinct points, the other two sides are divided in the same ratio.
The fundamental proportionality theorem can be used to calculate the lengths of two sides of a triangle divided by a line drawn parallel to the third side. It can also be used to determine the relationship between two equiangular triangles.
We have
RT= x+ 4
TQ= x- 3
RV= x+ 10
As, TV || QS
By using Basic Proportionality Theorem
RT / TQ = RV / VS
(x+ 4) / (x- 3) = (x+ 10)/ x
x² + 4x = x² -3x + 10x - 30
4x - 7x = -30
-3x = -30
x= 10
Thus, the required value is 10.
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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:
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
Please help me because I don’t know
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
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
Subtract 11x - 4y from the sum of 15x + 15y and - 18x + 15y.
Answer:
-14x + 34y
Step-by-step explanation:
First, find the sum of the two expressions by adding like terms:
(15x + 15y) + (-18x + 15y)
= -3x + 30y
Now, subtract 11x - 4y, again by combining like terms:
(-3x + 30y) - (11x - 4y)
= -14x + 34y
So, the answer is -14x + 34y
-
James ran mile on Monday. On
Tuesday, he ran 3 times as far. Which
equation can be used to determine x,
how far James ran on Tuesday?
Answer:
c
Step-by-step explanation:
gggehheueuru jshgsgsgsgsgsggsgs
LOOK AT THE PHOTO AND ANSWER PLEASE
Answer:
Parallel, I think ||
Step-by-step explanation:
■■■■■■■
Yes they are parallel! Because they are on either sides of a rectangle this automatically makes them parallel.
Mari used a thermometer to record temperatures of -3.4 Celsius and 1.6 Celsius . Which temperature in degrees is lower
Write an expression for "m decreased by 2.”
Answer:
m-2
Step-by-step explanation:
m is being subrtacted by 2
An artist uses 18 colors on an art palette to paint a picture. This is 72% of all the colors on the palette. How many colors are on the artist’s palette?
Answer:
25
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!!
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.
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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
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: