Answer:
The value of n:
[tex]n=\frac{22}{3}[/tex]Step-by-step explanation:
Given that the line has slope 6.
i.e. m = 6
The line includes the points
(n, 1)(8, 5)Using the formula to find the slope of the points
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(n,\:1\right),\:\left(x_2,\:y_2\right)=\left(8,\:5\right)[/tex]
[tex]m=\frac{4}{8-n}[/tex]
as
m = 6
substituting m = 6
[tex]6=\frac{4}{8-n}[/tex]
[tex]6\left(8-n\right)=4[/tex]
Divide both sides by 6
[tex]\frac{6\left(8-n\right)}{6}=\frac{4}{6}[/tex]
[tex]8-n=\frac{2}{3}[/tex]
subtract 8 from both sides
[tex]8-n-8=\frac{2}{3}-8[/tex]
simplify
[tex]-n=-\frac{22}{3}[/tex]
Divide both sides by -1
[tex]\frac{-n}{-1}=\frac{-\frac{22}{3}}{-1}[/tex]
[tex]n=\frac{22}{3}[/tex]
Therefore, the value of n:
[tex]n=\frac{22}{3}[/tex]Anyone know- I need help.
Answer: 5on x axis 2 on the y axis
Answer:
The answer would be (5,2)
:D Have a Great Day :D
Alexander is a stockbroker. He eams 11% commission each week Last week, he
sold $7,100 worth of stocks. How much did he make last week in commission? The averages that
same amount each week, how much did he make in commission in 2011
(A): 825
(B): 42,900
what is equivalent to 9 x (78) will brainlist
Find the domain of the vector function. (Enter your answer in interval notation.) r(t) = t − 2 t + 2 i + sin(t)j + ln(36 − t2)k
Answer:
The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)
Step-by-step explanation:
The given vector function can be correctly expressed as:
[tex]r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k[/tex]
The domain of the given function can be determined by finding the domain of each respective component.
To start with [tex]\dfrac{t-2}{t+2}[/tex]
Not defined, t = -2
Thus, the domain of the first component of the vector = [tex]( - \infty , -2) \cup ( 2, \infty )[/tex]
The 2nd component = sin t
No restriction on t
The 3rd component of the function is ㏑(36 - t²)
Let recall that natural is defined for +ve numbers,
i.e.
36 - t² > 0
(6 + t) (6 - t) > 0
Thus, it satisfies the inequality -6 < t < 6
The third domain = (-6,6)
Overall;
The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)
Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,
[tex](-6, -2) \cap (-2,6)[/tex]
What is domain?
Domain of a function is the set all possible inputs for that function.
Given information-
The vector function given in the problem is,
[tex]r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k[/tex]
To find the domain of the above vector function, we need to find the domain of each function of vector quantity.
Lets find the domain of [tex]\hat i[/tex] first which is given by,
[tex]\dfrac{t-2}{t+2}[/tex]
This function is defined at all values except, t equals to -2 as the function is not defined at,
[tex]t=-2[/tex]
Hence the domain of component [tex]\hat i[/tex] is,
[tex](-\infty, -2) \cap (\infty,2)\\[/tex]
Lets find the domain of [tex]\hat j[/tex] first which is given by,
[tex]\sin(t)[/tex]
Two trigonometry function sine and cosine defined for all real number.
This function is defined at all real numbers. Hence the domain of component [tex]\hat j[/tex] is
Lets find the domain of [tex]\hat k[/tex] first which is given by,
[tex]\ln(36-t^2)[/tex]
Set the above argument greater than zero to find where the expression is defined.Thus,
[tex](36-t^2)>0\\(6+t)(6-t)>0[/tex]
Therefore,
The domain of it should be [tex](-6,6)[/tex]
Hence the domain of the given vector function is,
[tex](-6, -2) \cap (-2,6)[/tex]
Learn more about the domain here;
https://brainly.com/question/10197594
CAN ANYONE HELP ME FIND THE ANSWERS TO QUESTION 2 !? ASAP .. DUE IN 15 MINS :(
quiz 4-1 : classifying and solving for sides/angles in triangles gina wilson (all things algebra) URGENT
Answer:
14.
[tex]x = 11[/tex] [tex]m<B = 108[/tex] [tex]m<C= 36[/tex] [tex]m<D = 36[/tex]
15.
[tex]x = 4[/tex] [tex]WX = 25[/tex] [tex]XY = 17[/tex] [tex]WY = 25[/tex]
Step-by-step explanation:
Solving (14):
[tex]BC = BD[/tex]
[tex]m<B = 13x - 35[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<D = 2x + 14[/tex]
First, we solve for x.
Since sides [tex]BC = BD[/tex], then
[tex]m<C = m<D[/tex]
This is so because the theorem of ASA (Angle-Side-Angle)
So, we have:
[tex]5x - 19 = 2x + 14[/tex]
Collect Like Terms
[tex]5x - 2x = 19 + 14[/tex]
[tex]3x = 33[/tex]
Divide both sides by 3
[tex]x = 11[/tex]
Solving for m<B, m<C and m<D.
We simply substitute 11 for x in their respective expressions.
[tex]m<B = 13x - 35[/tex]
[tex]m<B = 13*11 - 35[/tex]
[tex]m<B = 143 - 35[/tex]
[tex]m<B = 108[/tex]
[tex]m<C = 5x - 19[/tex]
[tex]m<C= 5*11 - 19[/tex]
[tex]m<C= 55 - 19[/tex]
[tex]m<C= 36[/tex]
[tex]m<D = 2x + 14[/tex]
[tex]m<D = 2*11 + 14[/tex]
[tex]m<D = 22 + 14[/tex]
[tex]m<D = 36[/tex]
Solving (15):
[tex]<X = <Y[/tex]
[tex]WX = 9x - 11[/tex]
[tex]XY = 4x + 1[/tex]
[tex]WY = 7x - 3[/tex]
First, we solve for x.
Since [tex]<X = <Y[/tex], then
[tex]WX = WY[/tex]
This is so because the theorem of SAS (Side-Angle-Side)
So, we have:
[tex]9x - 11 = 7x - 3[/tex]
Collect Like Terms
[tex]9x - 7x = 11-3[/tex]
[tex]2x = 8[/tex]
Divide both sides by 2
[tex]x = 4[/tex]
Solving for WX, WY and XY
We simply substitute 4 for x in their respective expressions.
[tex]WX = 9x - 11[/tex]
[tex]WX = 9 * 4 - 11[/tex]
[tex]WX = 36 - 11[/tex]
[tex]WX = 25[/tex]
[tex]XY = 4x + 1[/tex]
[tex]XY = 4 * 4 + 1[/tex]
[tex]XY = 16 + 1[/tex]
[tex]XY = 17[/tex]
[tex]WY = 7x - 3[/tex]
[tex]WY = 7 * 4 - 3[/tex]
[tex]WY = 28 - 3[/tex]
[tex]WY = 25[/tex]
Solve and explain (x^2+2xy+y^2)(x+1)
A. x^3 + 2x^2y + x^2 + y^2 + xy^2
B. x^2 + 2xy+ y^2
C. x^3 + x^2 + 2x^2y + xy^2 + y^2 + 2xy
D. x^2 + y^2 + 2xy + x + 1
answer is A
x^3 + 2x^2y + x^2 + y^2 + xy^2
Answer:
answer would be C.
Step-by-step explanation:
mUsing the distributive property.
John has 8 coins, all of which are quarters and nickels. In all, they're worth $1.00. How many of each kind of coin does John have?
Answer:
you will need 3 quarters and 5 nickel
Step-by-step explanation:
3 quarters is 75 and 5 nickels is 25 =1.00
what is the equation of the line in slope intercept form.
What number is equivalent to 15 and 25
Answer:
yo are you talking about like absolute value? then it's | -15 | and | -25 |
Step-by-step explanation:
Gabriela has dinner at a cafe and the cost of her meal is \$45.00$45.00dollar sign, 45, point, 00. Because of the service, she wants to leave a 15\%15%15, percent tip.What is her total bill including tip?
Answer:
$51.75
Step-by-step explanation:
The meal cost $45. $45 is 100% of the cost. She wants to leave a 15% tip, so add 15% to 100%.
15% + 100% = 115%
She will pay 115% of $45.
115% of $45 = 1.15 * $45 = $51.75
If
Answer: If you were born in April you a amiable, and always ready to help others and a faithful lover.
Step-by-step explanation:
The vertices of a triangle are P(-2, -4), Q(2, -5), and R(-1,-8). Name the vértices of the triangle after reflecting over the x-axis
Answer:
P(-2,4)
Q(2,5)
R(-1,8)
Step-by-step explanation:
The rule for reflecting points across the x-axis is to keep the x-value the same but "negate" the y-value. So, the points above are your answers.
Rewrite in simpliest terms-
−0.2(3p−0.9)+0.4(−0.9p−5)
Answer:
-0.96p - 1.82
Step-by-step explanation:
A random sample of 500 people is taken. 260 of them rent (as oppose to own) their residence. Compute a 95% confidence interval for the true proportion
Answer: A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
Step-by-step explanation:
Let p = True proportion of people rent their residence.
Given: n= 500
People rent their residence = 260
[tex]p=\dfrac{260}{500}=0.52[/tex]
z-value for 95% confidence level = 1.96
A 95% confidence interval for the true proportion will be :
[tex]p\pm z^*\sqrt{\dfrac{p(1-p)}{n}}[/tex]
[tex]0.52\pm (1.96)\sqrt{\dfrac{0.52(1-0.52)}{500}}\\\\=0.52\pm(1.96\sqrt{\dfrac{0.2496}{500}})\\\\=0.52\pm 1.96\sqrt{0.0004992}\\\\=0.52\pm (1.96)(0.02234)\\\\=0.52\pm0.0437864\\\\=(0.52-0.0437864,\ 0.52+0.0437864)\\\\=(0.4762136,\ 0.5637864)[/tex]
A 95% confidence interval for the true proportion (p) will be (0.4762136, 0.5637864).
The circumference of a circular piece of plot is 440m. find the area
pie is 22/7
Answer:
Step-by-step explanation:
Circumference = 2pi r
440 = 2 *22\7 *r
70 = r
Area= pi r^2
Area= 22\7 *70*70
Area =15400
List the number from greatest to least 3/2, 0.75,-24,-3/2
Answer:
3/2, 0.75,-3/2, -24
Step-by-step explanation:
I think that's the answer
Look at pic and answer ASAP
Answer:
the second one, the one that is already highlighted is correct.
Step-by-step explanation:
she divided it up among them so 20 over x shows division
Write an equation of the line that passes through each pair of points (- 2, - 3), (4, 5)
Answer:
y= 4/3x -1/3
Step-by-step explanation:
Find slope: y2-y1/x2-x1 = 5-(-3)/4-(-2) = 8/6 = 4/3
Use point slope to find the equation:
y - y1 = m ( x - x1 )
y - (-3) = 4/3 ( x - (-2))
y = 4/3x + 8/3 + (-3)
y = 4/3x + 8/3 - 9/3
y= 4/3x -1/3
Liza and Kelly rode their bikes everyday for five days. They each rode the same distance everyday. Lisa rode 60 miles in all and Kelly rode 25 miles in all. How many more miles per day did Lisa ride than Kelly?
Answer:
60/5=12 25/5=5 7 more miles a day
Step-by-step explanation:
plzz mark brainiest
A room 9m wide has a span roof which slopes at 34 degrees on one side and 44 degrees on the other. Find the length of the roof slopes, correct to the nearest mm
Answer:
Slope sides are;
5.07 m and 6.39 m
Step-by-step explanation:
I've attached a drawn diagram showing a triangle representing the roof slopes and I have attached it.
From the image attached, the missing angle is θ.
From sum of angles in a triangle,
θ = 180 - (44 + 34)
θ = 102°
Now, a & b represent the slopes of the roof.
Thus, using law of sines which is that;
a/sin A = b/sin B = c/sin C, we can solve as follows;
a/sin 34 = 9/sin 102
a = (9 × sin 34)/sin 102
a = (9 × 0.5512)/0.9781
a = 5.07 m
b/sin 44 = 9/sin 102
b = (9 × sin 44)/sin 102
b = (9 × 0.6947)/0.9781
b = 6.39 m
Offering Brainliest, a 5 star review, and a like on your answer, Please help.
Answer:
I'm pretty sure it's 1,1.
Step-by-step explanation:
Answer:
(1,1)
Step-by-step explanation:
sub to pewdiepie
I'll give brainliest hurry
Answer:
p
Step-by-step explanation:
an angle measures 94°. what is the measure of its supplement?
Answer:
86
Step-by-step explanation:
180-94
easy question if your having big problem
Answer:
whats the problem
Step-by-step explanation:
Answer:
yup
Step-by-step explanation:
A researcher randomly selected 500 students from the total of 8000 students that attended a private college in California in order to investigate the average number of hours spent studying per day at this private college. The researcher found that these 500 students studied an average of 5.75 hours a day.In the previous question, the 5.75 hours a day would be an example of a
Answer:
Statistic
Step-by-step explanation:
We are given four options
Parameter
Statistic
Sample
Population
In the given question the total number of students represents the population i.e population and the population size would be= N= 8000
The number of students selected represent a sample the sample size would ben= 500
A statistic is used for a given sample e.g in the given question the mean of the sample represents the statistic.
A parameter is used for a population e.g in the given question the mean of the population would be a parameter. A parameter is computed from the entire population
The correct option is statistic.
Can you help me with this question please by the way its not 101
Answer:
41
Step-by-step explanation:
101+38=139
180-139 = 41
The slope of a line on the coordinate plane can be calculated using any two points on the line and one outside point.
O True
O False
Answer:
true i think
Step-by-step explanation:
Help help it’s geometry I need help
Answer: X = 57.5
Step-by-step explanation:
3x - 65 + x + 15 = 180
4x - 50 = 180
4x = 230
x = 57.5
Answer:
3x-65 degrees
Step-by-step explanation:
Since the angles are vertical angles, y should equal the same value of the corresponding angle.
At the Fast-Pack It shipping, the employees can unload 25 trucks in 5 hours. Which of the following is a correct unit rate for this situation? (4 points)
5 hours per truck
1 truck per hour
1 over 5. of a truck per hour
1 over 5. of an hour per truck
Answer:
five trucks per hour
Step-by-step explanation:
