Answer:
25
Step-by-step explanation:
x = 3
according to the condition,
y = 7× x + 4
y = 7× 3 +4
y = 21 + 4
y = 25
What is the slope of a line parallel to the line whose equation is 2x + y = 3. Fully
reduce your answer.
Answer:
m= -2
Step-by-step explanation:
Isolate the y into slope- intercept form 2x + y = 3 -> y = -2x+3
Parallel lines have the same slope, so the slope is -2.
The slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
Given that, the equation of a line is 2x + y = 3.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope of a line parallel to given line is m1=m2.
The given equation can be rewritten as y=3-2x
The standard form of an equation of a line is y=mx+c
Now, compare y=3-2x with y=mx+c, we get
Slope (m) = -2
So, slope of parallel to the line is m1=m2= -2
Therefore, the slope of a line parallel to the line whose equation is 2x + y = 3 is -2.
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Pls help i dont understand :( Will give brainliest + 25 Points!!
Answer:
Answer is A
Step-by-step explanation:
The slope of a line in an equation like this is the number right before x so if the slope must be -5/6 the the only sequence with that slop is A.
Answer:
A) y=-5/6+1
Step-by-step explanation:
You want to find the equation for a line that passes through the point (6,-4) and has a slope of -5/6.
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was -5/6. So you can right away fill in the equation for a line somewhat to read:
y=-5/6x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(6,-4). When x of the line is 6, y of the line must be -4.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: b is what we want, the -5/6 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specifically passes through the point (6,-4).
So, why not plug in for x the number 6 and for y the number -4? This will allow us to solve for b for the particular line that passes through the point you gave!.
(6,-4). y=mx+b or -4=-5/6 × 6+b, or solving for b: b=-4-(-5/6)(6). b=1.
The equation of the line that passes through the point (6,-4) with a slope of -5/6
is
y=-5/6x+1
While mining, Jason found a large metal bar that weighed 50 ounces. Jason was also able to determine that the bar contained 60% nickel. How many ounces of nickel are in the metal bar?
Answer:
The answer is 30
Step-by-step explanation:
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% of 100 = 50/100 x 100 = 50
20% of 40 = 20/100 x 40 = 8
We have,
Weight of the metal bar = 50 ounces.
The percentage of nickel in the metal bar = 60%
The amount of nickel in the metal bar:
= 60% of 50 ounces
= 60/100 x 50 ounces
= 30 ounces
Thus,
If 60% of nickel is present in the metal bar that weighs 50 ounces.
The amount of ounces of nickel in the metal bar is 30 ounces.
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8.
The gas tank on Kayla's car holds 16 gallons of
gas. The fuel gauge of her car shows that the
gas tank is full. How many gallons of gas are
in the gas tank?
Your answer
This is a required question
What are the measures of angle A,B,C and D?
L=10 inches and A=40 square inches, solve A=lw
Answer:
w=4
Step-by-step explanation:
[tex]A=lw[/tex]
[tex]40= (10)w[/tex]
[tex]\frac{40}{10} = \frac{10}{10}w\\w=4\\[/tex]
Read this line of a story: After Mary confessed that she had stolen the sandwich and apologized, Brian forgave her Which of these themes best fits this line from the story? O Love conquers all O Good overcomes evil O Honesty is the best policy O Friendship is all you need
Answer:
C
Step-by-step explanation:
Honesty Made Brian Become Forgiven
Answer:
Honesty is the best policy
Step-by-step explanation:
she confessed
|2x+1| < 5
help please
Answer:
3
Step-by-step explanation:
Answer: x=2 and x=-3
Step-by-step explanation:
|2x+1|=5>|2x+1|=-5
2x+1=5 > 2x+1=-5
2x+1-1=5-1 > 2x+1-1=-5-1
2x=4 > 2x=-6
2x÷2=4÷2 > 2x÷2=-6÷2
x=2 > x=-3
Write in slope intercept form:
(-3,7) and (6,-8)
Answer:
[tex]y=-\frac{5}{3}x+2[/tex]
Step-by-step explanation:
So we are given 2 points, (-3, 7) and (6, -8), and we are asked to write it in slope-intercept form. To do this, lets first find the slope. To find the slope, we can use the slope formula.
The slope formula is:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where m is the slope and (x₁, y₁) and (x₂, y₂) are points.
Lets plug in (-3, 7) for (x₁, y₁) and (6, -8) for (x₂, y₂).
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{-8-7}{6-(-3)}=\frac{-15}{9}=-\frac{5}{3}[/tex]
So now we have found the slope. Lets plug in the slope and one of the points into the equation for point-slope form and then solve for slope-intercept form. I am going to use the point (-3, 7).
[tex]y-7=-\frac{5}{3}(x-(-3))[/tex]
Distribute the -5/3 on the right side.
[tex]y-7=-\frac{5}{3}x-5[/tex]
Add 7 to both sides.
[tex]y=-\frac{5}{3}x+2[/tex]
And now we have the equation in slope-intercept form.
I hope you find my answer and explanation to be helpful. Happy studying.
y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The given two points are (-3,7) and (6,-8)
m=-8-7/6-(-3)
m=-15/6+3=-15/9
m=-5/3
Now let us find the y intercept b.
7=-5/3(-3)+b
7=5+b
b=7-5
b=2
The y intercept is 2, Now plug in m and b values in slope intercept form to find the equation of line passing through (-3,7) and (6,-8)
y=-5/3x+2
Hence y=-5/3x+2 is the slope intercept form passing through (-3,7) and (6,-8)
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If a • b = 0, and a ≠ 0, then b=
Answer: 5573
Step-by-step explanation:
Jack went to the cash point. He drew out the same amount of money as he had in his pocket. He then spent £40 on CDs.
Jack went back to the cash point.
He drew out the same amount of money as he had in his pocket.
He then spent a further £40 on CDs. Jack did this a third time.
He then had no money left. How much money did he have with him to start?
Answer:
£30
Step-by-step explanation:
Jack had 30 pounds, he withdrew 30 more and had 60,he spent 40 and was left with 20.Then he withdrew 30 more and had 50,he spent 40 and was left with 10.Then he withdrew 30 more and had 40,he spent 40 and was left with 0 meaning he had no money
Without the aid of the Wronskian, determine whether the given set of functions is linearly independent or linearly dependent on the indicated interval.
a. f1(x) = ln x, f2(x) = ln x^5, (0, [infinity])
b. f1(x) = x^n, f2(x) = x^n + 2, n = 1, 2, \ldots, (−[infinity], [infinity])
c. f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
d. f1(x) = cos(x + π), f2(x) = sin x, (−[infinity], [infinity])
Answer and Step-by-step explanation:
Solution:
(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider given function:
f1(x) = lnx f2(x) = lnx5
(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider the given function:
f1(x) = xn f2(x) = xn+2
(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
Function is not linearly independent.
Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.
F1= n.f2
(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
The given function:
f1(x) = cos(x + π)f2(x)
Find the slope of the line connecting the point (2,3) to the point (4,6)l
Answer:
2/3
I hope this helps :D
9514 1404 393
Answer:
3/2
Step-by-step explanation:
The slope is the "rise" (change in y) divided by the "run" (change in x).
m = (y2 -y1)/(x2 -x1)
m = (6 -3)/(4 -2) = 3/2
The slope is 3/2 = 1.5.
The diagram was constructed with straightedge and compass tools.
Select all segments that have the same length as segment AC.
Answer:
AB and AC
Step-by-step explanation:
Because they are the same length
What is the slope of a line that is perpendicular to the line 3y - 4x = -8?
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[tex]3y - 4x = - 8[/tex]
Add sides 4x
[tex]3y - 4x + 4x = 4x - 8[/tex]
[tex]3y = 4x - 8[/tex]
Divide sides by 3
[tex] \frac{3}{3} y = \frac{4}{3} x - \frac{8}{3} \\ [/tex]
[tex]y = \frac{4}{3} x - 8 \\ [/tex]
This is the slope-intercept form of the line.
We that the coefficient of the x in slope-intercept form , is the slope of the line.
Thus ;
[tex]slope = \frac{4}{3} \\ [/tex]
_________________________________
Remember from now on ;
Multiply of the slopes of the lines which are perpendicular to each other equal -1 .
Suppose the slope of the line which question asked is m.
So :
[tex] \frac{3}{4} \times m = - 1 \\ [/tex]
Multiply sides by 4
[tex]4 \times \frac{3}{4} \times m = 4 \times ( - 1) \\ [/tex]
[tex]3m = - 4[/tex]
Divide sides by 3
[tex] \frac{3}{3} m = \frac{ - 4}{3} \\ [/tex]
[tex]m = - \frac{4}{3} \\ [/tex]
Done...
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what is 3(3x +2) = 9x-7
Answer:
No solutions
Step-by-step explanation:
3(3x + 2) = 9x + 7
9x + 6 = 9x + 7
9x - 9x = -6 + 7
0 = -1
No solutions
Hope this helps!
Mustafa is staring at a pizza spinning on a wheel in a glass case.
The pizza is cut into four even slices. The distance P(t) (in cm) between the center of the tastiest looking
slice and the door of the glass case as a function of time t (in seconds) can be modeled by a sinusoidal
function of the form a cos(b. t) + d.
Att = 0, the center of the tastiest looking slice is farthest from the door, at a distance of 30 cm away,
After 2 seconds, it is closest to the door, at a distance of 10 cm.
Find P(t).
t should be in radians.
P(t)
Answer:
10cos(1/2*t)+20
Step-by-step explanation:
I got it right on Khan Academy
A company is approached by a new warehouse management systems vendor to adopt a new system. The vendor claims that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes per order through bin location and routing optimization. You are given an opportunity visit an existing customer of the vendor. The customer allowed you to collect data for further analysis. You performed a time study and collected data about pick, pack ship duration of 25 shipments. Given, the data in the attached excel sheet
(Q1) perform a hypothesis testing by Use alpha=0.05 for hypothesis testing.
a. Stating your null and alternate hypotheses
b. Perform the proper hypothesis test and discuss your assessment of the vendor's claim.
Answer:
a
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
b
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 3 \ minutes = 180 \ seconds [/tex]
The sample size is n = 25
The excel sheet is show on the first uploaded image
The level of significance is [tex]\alpha = 0.05[/tex]
The null hypothesis is [tex]H_o : \mu = 180[/tex]
The alternative hypothesis is [tex]H_a : \mu < 180[/tex]
Generally the sample mean is mathematically represented as
[tex]\= x = \frac{156 + 136 + \cdots + 181}{25}[/tex]
=> [tex]\= x = 173.2 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{\sum (x_i - \= x )^2 }{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{ (156 - 173.2 )^2 + (136 - 173.2 )^2 + \cdots + (181- 173.2 )^2 }{25} }[/tex]
=> [tex]\sigma = 24.261[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma}{\sqrt{n} } }[/tex]
=> [tex]t = \frac{173.2 - 180 }{\frac{24.261}{\sqrt{25} } }[/tex]
=> [tex] z = -1.40[/tex]
Generally p-value is mathematically represented as
[tex]p-value = P(Z < z)[/tex]
=> [tex]p-value = P(Z < -1.40)[/tex]
From the z-table
[tex]P(Z < -1.40) = 0.080757[/tex]
=> [tex]p-value = 0.080757 [/tex]
From the obtained value we that [tex]p-value > \alpha[/tex]
The decision rule is fail to reject the null hypothesis
The conclusion
There no sufficient evidence to support the vendor claim that the warehouse management system reduces the average pick, pack, and ship time to below 3 minutes(180 seconds) per order through bin location and routing optimization
1/4 to the 6th power
Answer: 0.00024414062
Step-by-step explanation:
How do you do this question?
Step-by-step explanation:
ln(n) is smaller than n for all n ≥ 1.
Therefore, ln(n) / n⁴ is smaller than n / n⁴ = 1 / n³.
1 / n³ converges (p series test). Therefore, the smaller function ln(n) / n⁴ also converges.
A line has a slope of 3 and a y-intercept of 5. What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form?
IF U ANSWER SOMETHING JUS TO GET POINTS YOU WILL GET DELETED AND REPORTED !!!!
Answer:
y=3x+5
Step-by-step explanation:
Slope intercept form is always y=mx+b
'm' represents slope and 'b' represents y-intercept.
Hope it helped.
find the midpoint (-6,-10) (-2,-8)
What is the equation of the line?
Answer:
It’s the second option
Step-by-step explanation:
What is the first step to converting from a fraction to a decimal ?
Answer:
To convert a fraction into a decimal, divide the top number by the bottom number. What about with denominators that don't divide into 10, 100 or 1000, such as 7? You still divide the denominator into the numerator, no matter what the numbers are.
Step-by-step explanation:
ok
which is a endpoint of a ray
Answer:
A is the endpoint ray
Step-by-step explanation:
Point A is the ray's endpoint. One way to think of a ray is a line with one end. A ray starts at a given point and goes off in a certain direction forever, to infinity. The point where the ray starts is called (confusingly) the endpoint.
Can someone help me ASAP
Answer:
the y intercept is -4 and the slope is 1
Step-by-step explanation:
jessica has 56 arcade tickets to give away she gives them all to her 8 friends who share them equally how many tickets does each friend get?
2x-10 <80 Solve for x
Answer:
x<45
Step-by-step explanation:
Need HeLpPPPP please :)
Answer:
x= 15/16
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
Simplify to zero answers.