Answer:
2280 minutes.
Step-by-step explanation:
Time spent each week in lessons = (Lessons per week)(Time per lesson)
= (6)(38)
= 228 minutes/week
Time spent in a 10-week period:
10 weeks * 228 minutes/week
= 2280 minutes
Use conversion factors to determine the time in the desired units (i.e. Hours, seconds, etc.).
Hope this helps!
Construc t a 95% confidence interval for the population standard deviation σ of a random sample of 15 men who have a mean weight of 165.2 pounds with a standard deviation of 13.5 pounds. assume the population is normally distributed
The 95% confidence interval for the population standard deviation will be,
[tex]$\sqrt{\frac{(n-1) s^{2}}{\chi^{2}} \frac{\alpha}{2}} & < \sigma < \sqrt{\frac{(n-1) s^{2}}{\chi^{2}}} \\[/tex]
simplifying the equation, we get
[tex]$\sqrt{\frac{2551.5}{26.1}} & < \sigma < \sqrt{\frac{2551.5}{5.63}} \\9.887 & < \sigma < 21.288[/tex]
The 95% confidence interval exists (9.887, 21.288).
What is the 95% of confidence interval?
A random sample of 15 men exists selected. The mean weight exists at $165.2 pounds and the standard deviation exists at $13.5 pounds. The population exists normally distributed.
So, [tex]$n=15, \bar{X}=165.2, s=13.5$[/tex]
where n exists the sample size, [tex]$\bar{X}$[/tex] exists the sample size
s exists the sample standard deviation.
The degrees of freedom will be n - 1 i.e.15 - 1 = 14.
For a 95% confidence interval, the level of significance will be [tex]$\alpha=0.05$[/tex].
The 95% confidence interval for the population standard deviation will be,
[tex]$\sqrt{\frac{(n-1) s^{2}}{\chi^{2}} \frac{\alpha}{2}} & < \sigma < \sqrt{\frac{(n-1) s^{2}}{\chi^{2}}} \\[/tex]
substitute the values in the above equation, we get
[tex]$\sqrt{\frac{(15-1)(13.5)^{2}}{\chi^{2}} 0.05} & < \sigma < \sqrt{\frac{(15-1)(13.5)^{2}}{\chi_{0}^{2}}} \\[/tex]
[tex]$\sqrt{\frac{(15-1)(13.5)^{2}}{\chi_{0.975}^{2}}} & < \sigma < \sqrt{\frac{(15-1)(13.5)^{2}}{\chi_{0.025}^{2}}} \\[/tex]
simplifying the above equation, we get
[tex]$\sqrt{\frac{2551.5}{26.1}} & < \sigma < \sqrt{\frac{2551.5}{5.63}} \\9.887 & < \sigma < 21.288[/tex]
The 95% confidence interval exists (9.887, 21.288).
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Help me pleaseeeeeeeee
The value of the function g(-3) from the given piecewise function is 1
What are piecewise function?A piecewise-defined function is a function defined by multiple sub-functions, where each sub-function applies to a different interval in the domain.
From the given piecewise function, we are to find the value of the function when x is -3 that is g(-3)
In order to determine the equivalent function, we need to determine the function where x = -3
The equivalent function is g(x) = x+ 4
Substitute x = -3 into the resulting function
g(x) = x + 4
g(-3) = -3 + 4
g(-3) = 1
Hence the value of the function g(-3) from the given piecewise function is 1
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i need the answer for number 13
Answer:
The answer is 1. This table is an example of the principle of independence.
Step-by-step explanation:
This means any Trade activity is performed without reliance on another party.
He got the perfect answer to his question and he can get his answer without any other information.
A sine function has an amplitude of 3, a period of pi, and a phase shift of pi/2. What is the y-intercept of the function?
A. 3
B.0
C.-3
D. pi/4
Based on the calculations, we can logically deduce that the y-intercept of this sine function is equal to: A. 3.
Given the following data:
Amplitude = 3Period = πPhase shift = π/2How to determine the y-intercept of this function?Mathematically, a sine function is modeled by this equation:
y = Asin(ωt + ø)
Where:
A represents the amplitude.ω represents angular velocity.t represents the period.ø represents the phase shift.Also, the period of a sine wave is given by:
t = 2π/ω
2 = 2π/ω
ω = 2
Substituting the given parameters into the equation, we have;
y = 3sin(2t + π/2)
At t = 0, we have:
y = 3sin(2(0) + π/2)
y = 3sin(π/2)
y = 3sin(90)
y = 3 × 1
y = 3.
In conclusion, we can logically deduce that the y-intercept of this sine function is equal to 3.
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Part B The mass of an average grain of rock salt is about 40 times the mass of an average grain of table salt. If you multiply the mass of table salt in standard notation by 40, what value do you get?
Answer:
0.012
Step-by-step explanation:
We know the standard notation of table salt is 0.003, so we simply multiply 40 by this.
answer - 0.0003 X 40 = 0.012
The Pyramid of Giza is shown. It has a base length of 230 meters and a height of 150 meters.
The Pyramid of Giza is one of the largest pyramid structures still standing in Egypt. It is a right pyramid with a square base, a base length of 230 m, and height of 150 m.
The area of the base is
m2.
The volume is
m3.
the area and volume of the Pyramid of Gaza are 139, 840 m²
and 52950 m³ respectively.
How to determine the parametersThe formula for volume and area of a square pyramid are given thus;
Volume, V= [tex]a^2\frac{h}{3}[/tex]
Area , [tex]A=a^2+2a \sqrt{\frac{a^2}{4}+ h^2 }[/tex]
Where
a is the base lengthh is the heightSubstitute the values;
Area = [tex]230^2 + 2(230) \sqrt{\frac{230^2}{4}+ 150^2 }[/tex]
Area = [tex]52900 + 460 + \sqrt{13225 + 22500}[/tex]
Area = [tex]52900 + 460(189)[/tex]
Area = 52900 + 86, 940
Area = 139, 840 m²
Volume , v = [tex]230^2 + \frac{150}{3}[/tex]
Volume = 52900 + 50
Volume = 52950 m³
Thus, the area and volume of the Pyramid of Gaza are 139, 840 m²
and 52950 m³ respectively.
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answer is in the attachment below
goodluck!!
In western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet. _________________________
The statement; In western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet is false.
Western cultureThese refers to culture which is related to the people of the west.
Culture
This can be defined as the beliefs, values, behaviour and material objects that constitute a people's way of life.
Therefore, it is b false that in western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet.
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Divide $4800 between Kofi and Kweku so that Kofi gets three times what Kweku gets
Answer:
see explanation
Step-by-step explanation:
let x be the amount Kweku gets then Kofi gets 3x , so
x + 3x = 4800
4x = 4800 ( divide both sides by 4 )
x = 1200
that is
Kweku gets $1200
Kofi gets 3 × $1200 = $3600
find the area of the shaded region!
please solve this with solutions !ASAP
the area of the shaded part is 30. 89 cm²
How to determine the area
We have the shape to be a rectangle
The area of the shaded part should be;
Area of rectangle - 2 ( area of a semi circle)
The formula for area of a rectangle
Area = length × width
Area = 12 × 12
Area = 144 cm²
Area of a semicircle = 1/2 πr²
Area = 1/ 2 × 3. 142 × 6²
Area = 56. 56 cm²
Area of shaded part = area of rectangle - 2( area of semicircle)
Area of shaded part = 144 - 2(56. 56)
Area of shaded part = 144 - 113. 11
Area of shaded part = 30. 89 cm²
Thus, the area of the shaded part is 30. 89 cm²
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Calculate a four-day moving average for the price of the stock for the end of day 7. day 1 - 62.00; day 2 - 56.00; day 3 - 50.00; day 4 - 60.00; day 5 - 59.00; day 6 - 55.00; day 7 - 59.00; day 8 - 63.00
Answer:
58.25
Step-by-step explanation:
A "moving average" is a "boxcar average," the unweighted average over the specified number of days.
SolutionThe 4-day moving average ending on day 7 is ...
4-day average = (day 4 +day 5 +day 6 +day 7)/4
= (60 +59 +55 +59)/4 = 233/4
4-day average = 58.25
The four-day moving average for the price of the stock for the end of day 7 is 56.00
What is moving average?
The moving average on a particular day is the average of prices on the days prior to the pricing day.
In other words, four-day moving average on day 7 is the sum the prices of four days prior to day 7 divided by the number of days whose prices were considered.
In computing the four-day moving average for day 7, we would sum the prices for days 3-6, then divide the sum by 4 since prices of 4 days were made use of.
four-day moving average on day 7=(50.00+60.00+59.00+55.00)/4
four-day moving average on day 7= 56.00
Note, as the day of pricing changes, the input prices would also change
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PLS HELP pq has endpoints at p(-5,4) and q(7,-5).what is the midpoint of pq? what are the cordinates of the point 2/3 of the way from p to q?
The midpoint of PQ is (1, -0.5)
The coordinates of the point 2/3 of the way from p to q are (-0.2, 0.4)
What is the midpoint of a line segment?
the midpoint is the middle point of a line segment. It is equidistant from both endpoints.
The midpoint of PQ
To calculate this, we use the midpoint formula;
(x,y) = {(x1 + x2)/2 , (y1 + y2)/2}
From the question; (x1,y1) = (-5,4) and (x2,y2) = (7,-5)
So (x,y) = (-5+7)/2 , (4-5)/2 = 2/2, -1/2 = (1,-0.5)
The coordinates of the midpoint of PQ are (1,-0.5)
What is the internal division of the line segment?
we will use here the internal division formula of the section formula;
Mathematically the coordinates can be calculated using the formula;
(x,y) = (mx2 + nx1)/m+ n , (my2 + ny1)/m + n
in this case, m = 2 and n = 3
(x1,y1) = (-5,4)
(x2,y2) = (7,-5)
So substituting these values, we have;
(x,y) = (2(7)+ 3(-5))/(2+3) , 2(-5) + 3(4)/(2+3)
(x,y) = (14 -15)/5 , (-10 + 12)/5
= (-1/5, 2/5) = (-0.2, 0.4)
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I dive to 56 feet for 47 minutes. After a 30 minute surface interval I do a second dive to 56 feet. Losing track of time, I notice my bottom time is now 25 minutes. According to the General Rules, what should I do
According to general rules, what you can do now is; Ascend right away to 15 feet and stay there for 8 minutes before going to the surface and not dive for 6 hours
How to solve algebra word problems?We are given;
Initial distance dived = 56 feet
Time for initial dive = 47 minutes
Time from finishing of initial dive to start of second dive = 30 minutes
Second dive distance = 56 ft
Her current bottom time is now 25 minutes
Now, bottom time is defined as the total time, in minutes, from the beginning of a descent to the beginning of an ascent.
Thus, according to general rules, what you can do now is to Ascend right away to 15 feet and stay there for 8 minutes before going to the surface and not dive for 6 hours
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Question 11(Multiple Choice)
(05.06 MC)
Using the graph of the function g(x) = log3 (x-4), what are the x-intercept and asymptote of g(x)?
The x-intercept is 3, and the asymptote is located at x = 4.
The x-intercept is 5, and the asymptote is located at x = 4.
The x-intercept is 4, and the asymptote is located at y = 5.
The x-intercept is 5, and the asymptote is located at y = 3.
The x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
How to determine the x-intercept and asymptote of g(x)?The equation of the function is given as:
g(x) = log3 (x - 4)
Set the function to 0, to determine the x-intercept
log3 (x - 4) = 0
Express the function as an exponential function
x - 4 = 3^0
Evaluate the exponent
x - 4 = 1
Add 4 to both sides
x = 5
Set the radical to 0, to determine the asymptote
x - 4 = 0
Add 4 to both sides
x = 4
Hence, the x-intercept and the asymptote of g(x) are x = 5 and x = 4, respectively
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please help me!
A scientist is comparing the bacteria population on two surfaces t days after it is cleaned with bleach.
Bacteria on the kitchen counter is initially measured at 5 and doubles every 3 days.
Bacteria on the stove is initially measured at 10 and doubles every 4 days.
1. After how many days will the bacteria population on both surfaces be equal?
2. What is the bacteria population when both surfaces have an equal population?
Answer:
They are only equal on day 0, both having 10 population.
Step-by-step explanation:
Given the bacteria on the counter is initially measured at 5 and doubles every 3 days we can generate the following geometric equation:
[tex]f(x)=10*2^{\frac{x}{3} }[/tex]
Given the bacteria on the stove is measured at 10 and doubles every 4 days we can create another equation:
[tex]f(x)=10*2^{\frac{x}{4} }[/tex]
To find how many days it will take for the bacteria population to equal the same lets set both equations equal to eachother:
[tex]10*2^{x/3}=10*2^{x/4}[/tex]
Divide both sides by 10
[tex]2^{x/3}=2^{x/4}[/tex]
Since both exponents have the same base we can set the exponents equal to eachother and solve for x:
[tex]\frac{x}{3}=\frac{x}{4}[/tex]
Multiply both sides by 3 to isolate x on the left side
[tex]x=\frac{3x}{4}[/tex]
Multiply both sides by 4 to remove fraction
[tex]4x=3x[/tex]
Subtract 3x to isolate x on the left side
[tex]x=0[/tex]
Plug x into one of our original equations
[tex]f(0)=10*2^{0/3}[/tex]
Solve
[tex]f(0)=10[/tex]
una liebre avanza 18 saltos, retrocede 5 saltos y avanza 9 saltos y finalmente retrocede 6 saltos ¿Cuántos saltos da en total la liebre ?
Así, concluimos que la liebre da un total de 38 saltos.
¿Cuántos saltos da en total la liebre ?Notar que solo se nos pregunta cuantos saltos da la Liebre, no importa en que dirección son dichos saltos.
Entonces solo debemos sumar todos los números de saltos que se nos dan, esto es:
18 saltos + 5 saltos + 9 saltos + 6 saltos = 38 saltos.
Así, concluimos que la liebre da un total de 38 saltos.
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if i get 6 gems every 2 minutes and 30 seconds how many gems will i have after one hour?
Given that one can get 6 gems every 2 minutes and 30 seconds, one will have 144 gems after one hours.
How many gems will I have after one hour?Given that;
6 gems are gotten every 2 minutes and 30 secondsLets convert 2min to second; 2min = ( 60 × 2 )sec = 120secHence 6 gems are gotten every 120sec and 30 seconds
Hence 6 gems are gotten every 150seconds
Next we convert 1 hour to seconds
1 hour = ( 60 × 60 × 1 )sec = 3600sec
Now,
6 gems can be gotten every 150seconds
x gems can be gotten every 3600 seconds
x = ( 6 × 3600 ) / 150
x = 21600 / 150
x = 144 gems
Given that one can get 6 gems every 2 minutes and 30 seconds, one will have 144 gems after one hours.
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Santaniago has a rope that measures 205.95 centimeters.write this number in expanded form
This number in expanded form 200 + 5 + 5/10 + 9/100 .
What is expanded form in math example?
It means that the expansion of numbers is based on the place value. The expanded form splits the number, and it represents the number in units, tens, hundreds and thousands form. For example, the expanded form of the number 1572 is 1000+500+70+2.Given : 205.95 centimeters.
the number in a expanded form.
200 + 5 + 9/10 + 5/100
we have given 205.95 centimeters.
We can see 2 is at hundred place = 200.
0 is at tens place = 00.
5 is at ones place = 5.
9 after decimal is at tenth place = [tex]\frac{9}{10}[/tex].
5 is at hundredth place = [tex]\frac{5}{100}[/tex] .
Therefore , Expanded form : 200 + 5 + 5/10 + 9/100 .
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How many solutions, in positive integers less than 10, does the equation x + y + z = 20
have?
[tex]\huge \mathbb{ \underline{EXPLANATION:}}[/tex]
Given:▪ [tex] \bold{\: x + y + z = 20}[/tex]
[tex]\\[/tex]
◆ As we have a [tex]\small\bold{sum \: of \: three \: integers}[/tex] equal to 20 and less than 10, we know the integers have to be between 2 and 9 (1 and 0 don't apply because the sum wouldn't be equal to 20 between three integers.
[tex]\large\tt{Note:}[/tex]
The first value would be X value, second Y value and third Z value.
[tex]\huge \mathbb{ \underline{ANSWER:}}[/tex]
[tex] \large\boxed{ \sf 36 \: solution}[/tex]
2x + 1 = 4x - 19
Solve for x
Answer:
x = 10Step-by-step explanation:
2x + 1 = 4x - 19
Solve for x
2x + 1 = 4x - 19
2x - 4x = -19 - 1
-2x = -20
x = 20 : 2
x = 10
----------------
check
2 * 10 + 1 = 4 * 10 - 19
21 = 21
the answer is good
Answer: [tex]\Large\boxed{x=10}[/tex]
Step-by-step explanation:
2x + 1 = 4x - 19
Add 19 on both sides
2x + 1 +19 = 4x - 19 + 19
2x + 20 = 4x
Subtract 2x on both sides
2x + 20 - 2x = 4x - 2x
20 = 2x
Divide 2 on both sides
20 / 2 = 2x / 2
[tex]\Large\boxed{x=10}[/tex]
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In the diagram below, if < A = 113°, < B = 39°, < D = 113° and < F = 28°, we can say that___.
Answer:
c.
Step-by-step explanation:
The two triangles are similar as they have the same angles, though not necessarily the same sides. ASA only applies to congruency.
HELP ME ASAP........
The sample at option B, {0, 2} is not a part of the sample space of a spinner when spun two times.
What is a sample space?The set consists of all the possible outcomes of an event called sample points, which is said to be a sample space.
Calculation:It is given that,
a spinner has 5 sections of equal area and each section is numbered from 1 to 5.
If the spinner is spun two times, then the possible outcomes are 25. They are:
{(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (5, 1), (5, 2), (5, 3), (5, 4), (5, 5)}
So, from the given options, the sample {0, 2} is not possible since there is no such a section on the spinner named 0.
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A rope that is 245cm long is cut into three pieces. The ratio of the lengths of the first piece to the second piece is 2/3, and the ratio of the lenghts of the second piece to the third piece is 4/5. What is the length of the longest of the the three pieces?
The length of the longest piece of the cut rope is; 105 cm
How to work with ratios?We are given that;
Length of rope = 245 cm
We need to make the ratio of second piece equal in both the ratio to find the ratio of all three pieces.
2:3
4:5
Multiply 1st ratio by 4 and 2nd ratio by 3:
Now, the ratio becomes: 8:12 and 12:15
And the ratio of three pieces can be represented as:
8: 12: 15, this ratio is the first piece: second piece: third piece
Thus;
8x + 12x + 15x = 245
35x = 245
x = 245/35
So, the pieces lengths will be;
First piece = 8 * 7 = 56 cm
Second piece = 12 * 7 = 84 cm
Third piece = 15 * 7 = 105 cm
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What is the volume of the following prism?
A. 225 m³
B. 75 m²
C. 50 m³
D. 150 m³
Answer: [tex]\Large\boxed{B.~\displaystyle 75~m^3}[/tex]
Step-by-step explanation:
Given information
Height = 2 m
Base = 5 m
Length = 15 m
Given the formula for Triangular Prism Volume
[tex]V~=~\displaystyle \frac{1}{2}\times ~b~\times~h~\times~l[/tex]
[tex]\to V=Volume\\\to b=base\\\to h = height\\\to l = length[/tex]
Substitute values into the formula
[tex]V~=~\displaystyle \frac{1}{2}\times ~(5)~\times~(2)~\times~(15)[/tex]
Simplify by multiplication
[tex]V~=~\displaystyle \frac{5}{2}~\times ~30[/tex]
[tex]\Large\boxed{V~=~\displaystyle 75~m^3}[/tex]
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What is the sum of this infinite geometric series?
[tex]\qquad \qquad \textit{sum of an infinite geometric sequence} \\\\ \displaystyle S=\sum\limits_{i=0}^{\infty}\ a_1\cdot r^i\implies S=\cfrac{a_1}{1-r}\quad \begin{cases} a_1=\stackrel{\textit{first term}}{\frac{1}{8}}\\ r=\stackrel{\textit{common ratio}}{\frac{2}{3}}\\ \qquad -1 < r < 1 \end{cases}[/tex]
[tex]\displaystyle\sum_{k=0}^{\infty} ~~ \underset{a_1}{\frac{1}{8}}\underset{r}{\left( \frac{2}{3} \right)}^k\implies S=\cfrac{ ~~ \frac{1}{8} ~~ }{1-\frac{2}{3}}\implies S=\cfrac{ ~~ \frac{1}{8} ~~ }{\frac{1}{3}}\implies S=\cfrac{3}{8}[/tex]
Perfect Pizza has 15 toppings listed on their menu. How many ways could a customer choose a pizza that contains 3 different toppings?
If adding only twelve, you must leave out three of the fifteen, and the number of ways is = 15! / (3! * 12!).
1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12∗13∗14∗15 over
(1∗2∗3)∗(1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12) =
13∗14∗15 over
(1∗2∗3)
27306 = 455
Answer: If all toppings are distinct, then you have C 4 15 combinations. If there are three distinct toppings, you have 3 ⋅ C 3 15 combinations (because we have C 3 15 choices for toppings and then 3 choices for which of those three toppings is doubled).
Step-by-step explanation:
Find the general solution of the given higher-order differential equation. y''' − 8y'' − 9y' = 0
The general solution of the given higher-order differential equation y''' − 8y'' − 9y' = 0 is , [tex]y = C_{1} + C_{2} e^{8x} + C_{3}e^{-x}[/tex]
Given higher-order differential equation = y''' − 8y'' − 9y' = 0
We have to find the general solution of the above differential equation
The auxiliary equation for the above differential equation will be : [tex]m^{3} - 8m^{2} - 9m = 0[/tex]
Solve the equation :- [tex]m^{3} - 8m^{2} -9m = 0[/tex]
[tex]m ( m^{2} - 8m - 9 ) = 0[/tex]
m ( m - 8 ) ( m + 1 ) = 0
m = 0 , m = 8 , m = -1
Then the general solution will be like :
[tex]y = C_{1} e^{0x} + C_{2} e^{x} +C_{3}e^{-1x}[/tex]
The above solution can be written as:
[tex]y = C_{1} +C_{2} e^{8x} +C_{3} e^{-x}[/tex]
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Given: Circle M with inscribed Angle K J L and congruent radii JM and ML
Prove: mAngle M J L = One-half (measure of arc K L)
Circle M is shown. Line segment J K is a diameter. Line segment J L is a secant. A line is drawn from point L to point M.
What is the missing reason in step 8?
Statements
Reasons
1. circle M with inscribed ∠KJL and congruent radii JM and ML 1. given
2. △JML is isosceles 2. isos. △s have two congruent sides
3. m∠MJL = m∠MLJ 3.
base ∠s of isos. △are ≅ and have = measures
4. m∠MJL + m∠MLJ = 2(m∠MJL) 4. substitution property
5. m∠KML = m∠MJL + m∠MLJ 5. measure of ext. ∠ equals sum of measures of remote int. ∠s of a △
6. m∠KML =2(m∠MJL) 6. substitution property
7. Measure of arc K L = measure of angle K M L 7. central ∠ of △ and intercepted arc have same measure
8.
Measure of arc K L = 2 (measure of angle M J L)
8. ?
9.
One-half (measure of arc K L) = measure of angle M J L
9. multiplication property of equality
reflexive property
substitution property
base angles theorem
second corollary to the inscribed angles theorem
The missing reason in step 8 is the substitution property.
What is substitution property?It should be noted that according to substitution property, if x = y, then x can be substituted for y in any equation.
When a variable is equal to another variable, then the variables can be interchangeable.
In this case, the missing reason in step 8 is the substitution property.
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Find an equation of the line perpendicular to y = − 7 8 x + 2 and containing the point (14, − 3)
Answer:
[tex]y=\frac{-x}{78} -\frac{220}{78}[/tex]
Step-by-step explanation:
Remember to create a line perpendicular to one another the slope has to be the reverse reciprocal of the first line.
Given the current slope is [tex]\frac{-78}{1}[/tex] the new slope would be [tex]\frac{1}{78}[/tex].
To find the line that passes through a point with a given slope we must use point slope form, remember the default equation of point slope form:
[tex]y-y1=m(x-x1)[/tex]
Where y1 is the y value of the point, m is the slope, and x1 is the x value of the point.
Lets substitute in our values
[tex]y-(-3)=\frac{-1}{78} (x-14)[/tex]
Simplify the equation
[tex]y+3=-\frac{1}{78}\left(x-14\right)\\y+3=\frac{-x}{78}+\frac{14}{78}\\y=\frac{-x}{78}-\frac{220}{78}\\[/tex]
Sketch the graphs of this situation:
y=(-x)
The graph of the linear equation can be seen in the image below.
How to graph the linear equation?
Here we have a linear equation:
y = -x
To graph it, we just need to find two points and the line, and then connect the points with a line.
Evaluating in x = 0, we get:
y = -0 = 0
Then we have the point (0, 0).
Evaluating in x = 1 we get:
y = -1
So we have the point (1, -1)
Now we just need to graph these two points and connect them with a line, the graph can be seen below.
If you want to learn more about linear equations:
https://brainly.com/question/1884491
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does someone mind helping me with this question? thank you!
Answer:
100
Step-by-step explanation:
to turn whole numbers to a fraction it is whatever numbers out of 100
Answer:
99
Step-by-step explanation:
