Answer:
I got x1 =0 x2=220
Step-by-step explanation:
y=- 00.1x (x-220)
-0.01x (x-220)=0
- 1/100 x(x-220)=0
x (x-220)=0
x=0
x-220=0
Answer x=0 and x=220
What is the greatest possible integer value of x for which StartRoot x minus 5 EndRoot is an imaginary number?
Answer:
The answer is 4.
Step-by-step explanation:
Edge 2021
Answer:
4
Step-by-step explanation:
EDGE2021
Combine the following complex numbers.
(16 − 6i) − (2 − 3i)
Answer:
14 - 3i
Step-by-step explanation:
Distribute the minus sign amongst the second equation:
(16 - 6i) - (2 - 3i) = 16 - 6i - 2 + 3i
Solve:
16 - 6i - 2 + 3i:
16 - 2 - 6i +3i
14 - 3i
Hope this helps!
Graph the image of kite JKLM after a translation 3 units up.
Morning donuts recently sold 14 donuts, of which 7 we're cake donuts. Considering this data,how many of the next 6 donuts sold would you expect to be cake donuts
Answer:
Three of your next six donuts sold will be cake donuts.
Step-by-step explanation:
14:7 simplified to a unit ratio is 2:1. Using this information, we know that 6:3 is the ratio for the next 6 donuts.
What’s the answer to this question?
Answer:
its x^4
Step-by-step explanation:
its x^4
Determine whether the stochastic matrix P is regular. Then find the steady state matrix X of the Markov chain with matrix of transition probabilities P. P=
0.22 0.20 0.65
0.62 0.60 0.15
0.16 0.20 0.20
Answer:
Step-by-step explanation:
Given that:
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right][/tex]
For a steady-state of a given matrix [tex]\bar X[/tex]
[tex]\bar X = \left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
As a result P[tex]\bar X[/tex] = [tex]\bar X[/tex] and a+b+c must be equal to 1
So, if P[tex]\bar X[/tex] = [tex]\bar X[/tex]
Then;
[tex]P = \left[\begin{array}{ccc}0.22&0.20&0.65\\0.62&0.60&0.15\\0.16&0.20&0.20\end{array}\right]\left[\begin{array}{c}a\\b\\c\end{array}\right] =\left[\begin{array}{c}a\\b\\c\end{array}\right][/tex]
[tex]\implies \left\begin{array}{ccc}0.22a+&0.20b+&0.65c\\0.62a+&0.60b+&0.15c\\0.16a+&0.20b+&0.20c\end{array} \right = \left \begin{array}{c}a ---(1)\\b---(2)\\c---(3)\end{array}\right[/tex]
Equating both equation (1) and (3)
(0.22a+ 0.2b + 0.65c) - (0.16a + 0.2b + 0.2c) = a - c
0.06a + 0.45c = a - c
collect like terms
0.06a - a = -c - 0.45c
-0.94 a = -1.45 c
0.94 a = 1.45 c
[tex]c =\dfrac{ 0.94}{1.45}a[/tex]
[tex]c =\dfrac{ 94}{145}a --- (4)[/tex]
Using equation (2)
0.62a + 0.60b + 0.15c = b
where;
c = 94/145 a
[tex]0.62a + 0.60b + 0.15(\dfrac{94}{145}) a= b[/tex]
[tex]0.62a + 0.15(\dfrac{94}{145}) a= -0.60b+b[/tex]
[tex]0.62a + (\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](0.62+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{62}{100}+\dfrac{141}{1450}) a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= 0.40b[/tex]
[tex](\dfrac{1043}{1450})a= \dfrac{4}{10} b[/tex]
[tex](\dfrac{1043 \times 10}{1450 \times 4})a = \dfrac{4}{10} \times \dfrac{10}{4}[/tex]
[tex]b = (\dfrac{1043}{580}) a --- (5)[/tex]
From a + b + c = 1
[tex]a + \dfrac{1043}{580}a + \dfrac{94}{145} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{94*4}{145*4} a = 1[/tex]
[tex]a + \dfrac{1043}{580}a + \dfrac{376}{580} a = 1[/tex]
[tex]\dfrac{580+ 1043+376 }{580} a= 1[/tex]
[tex]\dfrac{1999}{580} a= 1[/tex]
[tex]a = \dfrac{580}{1999}[/tex]
∴
[tex]b = \dfrac{1043}{580} \times \dfrac{580}{1999}[/tex]
[tex]b = \dfrac{1043}{1999}[/tex]
[tex]c = \dfrac{94}{145} \times \dfrac{580}{1999}[/tex]
[tex]c= \dfrac{376}{1999}[/tex]
∴
The steady matrix of [tex]\bar X[/tex] is:
[tex]\bar X = \left[\begin{array}{c}\dfrac{580}{1999} \\ \\ \dfrac{1043}{1999}\\ \\ \dfrac{376}{1999}\end{array}\right][/tex]
Which one hurry
A.82
B.94
C.121
D.144
[tex]\longrightarrow{\blue{B.\:94\:cm²}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex]2 \: (3 \: cm \times 4 \: cm) + 2 \: (3 \: cm \times 5 \: cm) + 2 \: (4 \: cm \times 5 \: cm) \\ \\ = 2 \: (12 \: {cm}^{2} ) + 2 \: ( 15 \: {cm}^{2} ) + 2 \: (20 \: {cm}^{2} ) \\ \\ = 24 \: {cm}^{2} + 30 \: {cm}^{2} + 4 0\: {cm}^{2} \\ \\ = 94 \: {cm}^{2} [/tex]
[tex]\purple{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]
Ashley can ride her bicycle 15 miles in 2 hours. There are 60 minutes in 1 hour, and there are 1,760 yards in 1 mile. How many yards does Ashley travel in a minute ??
Answer:
220 yards in one minute
Step-by-step explanation:
15 miles in 120 minutes equals 26,400 (15 · 1760) yards in 120 minutes
26,400 yards in 120 minutes equals 220 yards in 1 minute (after dividing both 26400 and 120 by 120)
Answer:
220
Step-by-step explanation:
The first guy explained it, look above. I was about to say something similair
Find the equation of the line through (6,8) which is parallel to the line y=4x−6.
Give your answer in the form y=mx+b.
Answer:
[tex]y=4x-16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when x is 0)Parallel lines always have the same slope1) Determine the slope (m)
[tex]y=4x-6[/tex]
4 is in the place of m, making it the slope. Because parallel lines have the same slope, the slope of the line is therefore 4. Plug this into [tex]y=mx+b[/tex]:
[tex]y=4x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=4x+b[/tex]
Plug in the given point (6,8) and solve for b
[tex]8=4(6)+b\\8=24+b[/tex]
Subtract 24 from both sides to isolate b
[tex]8-24=24+b-24\\-16=b[/tex]
Therefore, the y-intercept of the line is -16. Plug this back into [tex]y=4x+b[/tex]:
[tex]y=4x-16[/tex]
I hope this helps!
Answer:
y=4x−16
Step-by-step explanation:
Because we want a parallel line to the given one, we know it needs to have the same slope. Therefore, the new line must be y=4x+b for some b. Knowing that the line goes through the point (6,8), we can plug this in and solve for b:
y=4x+b
8=4(6)=b
b=-16
So the equation of the line is y=4x−16.
Find x
Find Angle CBD
Find Angle D
Answer:
[tex]thank \: you[/tex]
what is the best approximation for relative maximum of the polynomial function graphed below?
A. (0.6, -2.8)
Hope this helps! :)
Im needing help with this math question
Answer:
4 weeks = 105
16 weeks = 42
24 weeks = 0
Step-by-step explanation:
the function is missing the 'w'
it should be : C(w) = 126 - 5.25w
'w' is the number of weeks
Substitute number of weeks in the 'w' spot
first one is 4 weeks, so
C(w) = 126 - 5.25(4)
= 126 - 21
= 105
Which of the Following is a solution to 7x-6y=19
(-5,-3)
,(7,5),
(-4,0)
(1,-2)
Answer:
(1,-2)
Step-by-step explanation:
Choose any value for x that is in the domain to plug into the equation.
Choose 0 to substitute in for x to find the ordered pair.
(0, -19/6)
Choose 1 to substitute in for x to find the ordered pair.
Remove parentheses.
y= -19/6 + 7(1)/6
Simplify
y=2
Use the
x and y values to form the ordered pair.
(1,−2)
You can use this formula to convert a temperature in Celsius (C) to Fahrenheit (F).
F = 95C + 32
Use the formula to covert 55°C to Fahrenheit.
Answer:
using the formula is 87°F but without it is near 140°F
cos 0 = 12/15. find sin 0.
Answer:
[tex]sin \theta = \frac{3}{5}[/tex]
Step-by-step explanation:
[tex]cos \theta = \frac{12}{15}\\\\cos^2 \theta = 1 - sin^2 \theta\\\\sin^2\theta = 1 - cos^2 \theta\\\\[/tex]
[tex]= 1 - (\frac{12}{15})^2\\\\= 1 - \frac{144}{225}\\\\= \frac{225 - 144}{225}\\\\=\frac{81}{225}[/tex]
[tex]sin \theta = \sqrt{\frac{81}{225}} = \frac{9}{15} = \frac{3}{5}[/tex]
Answer:9/15
Step-by-step explanation:
Plz help me solve this
what weight remains when 5/9 of a cake weighing 450 grams is eaten.
Pleaseeee help me! Options are A, C, B, and D
Step-by-step explanation:
from the solution above, the answer Is A
Hhhelllllppp qqquuuiiiccckkk
Answer:
F
E or C (depending on the actual angles - see below in the details)
Step-by-step explanation:
two triangles are congruent, when after some rotation or mirroring they can cover each other exactly.
that means they must both have the same angles and side lengths.
these are the possible conditions to determine that 2 triangles are congruent (without knowing ALL of the sides and angles) :
SSS (Side-Side-Side) - all 3 sides of triangle 1 are exactly of the same length as the 3 sides of triangle 2.
SAS (Side-Angle-Side) - 2 sides and one angle are the same
ASA (Angle-Side-Angle) - 2 angles and the side between these 2 angles are the same
AAS (Angle-Angle-Side) - 2 angles and any not-included side are the same
RHS (Right angle-Hypotenuse-Side) - both triangles are right-angled (one angle is 90 degrees), and the Hypotenuse (the side opposite to the 90 degree angle) and another side are the same.
so, now look at a).
we only know the angles. but we could use a zoom lens of a camera and make them bigger and smaller, while their angles remain actually the same.
therefore, we cannot say, if they are actually congruent (only if their side lengths are the same too).
but we can say that they could be congruent.
and therefore also none of the congruent conditions apply, because for all of them we always need at least one side length. and we don't have that.
now looking at b)
I am not sure I can read one of the given angles correctly.
case one: I read the angles in triangle 2 as 66 and 58 degrees. that would make the third angle
180 - 66 - 58 = 56
but triangle 1 has the angles of 68, 54 and
180 - 68 - 54 = 58
=> the three angles are not the same, so the triangles are definitely not congruent
case two: I could read the angles in triangle 2 also as 68 and 58. that would make the third angle
180 - 68 - 58 = 54
and the side connecting the 68 and 58 angles has the same length, so the ASA criteria are fulfilled, and the triangles are congruent. C
A biologist is studying the plant diversity in 15 million acres of the Sierra Nevada Mountains. He will count the number of species in 150 acres. Match the strategies to their corresponding sampling techniques.
1- The biologist classifies the Sierras into 10 different ecological types and then makes sure that the proportion of each ecological type from the sample is the same as the proportion of that of the population.
2- The biologist orders the 15 million acres by latitude and then surveys every 100000th acre on the list.
3- The biologist goes to 15 diverse locations that have 10 acres each and surveys all 10 acres for each of these 15 locations.
4- The biologist enters the 15 million acres into a data base and had a computer randomly select 150 of these acres.
5- The biologist goes to his 150 favorite hiking places and looks at an acres along each trail.
A. Cluster Sampling
B. Stratified Sampling
C. Systematic Sampling
D. Convenience Sampling
E. Simple Random Sampling
Answer:
The correct answer is -
1. B. stratified sampling
2. C. Systematic Sampling
3. A. Cluster Sampling
4. E. Simple Random Sampling
5. D. Convenience Sampling
Explanation:
Stratified sampling is a method in which samples have collected from a population that can be partitioned into subpopulations, categories or strata.
Systematic sampling is the method in which samples are at low risk of manipulation due to the getting samples ordered sampling range or frame.
Cluster sampling is the sampling that has random clusters of samples and data collected from selected clusters.
In a simple random sampling method, there are equal chances to get selected from a population in the sampling method.
Convenience Sampling is the sampling there is a selection of the data as these samples are convenient to collected and selected.
Josie and her brothers and sisters measured their heights and found the mean averageThe mean was 150cmJosie forgot her height. Can you work out Josie's height? 150cm, 170cm, 140cm, 155cm
Answer:
135 cm
Step-by-step explanation:
Let Jose's height = x
The mean of their heights = 150
Given the Heights:
150cm, 170cm, 140cm, 155cm
The mean is the sum if the heights divided by the number of people
Here :
(150 + 170 + 140 + 155 + x) / 5 = 150
(615 + x) / 5 = 150
615 + x = 750
x = 750 - 615
x = 135 cm
You have an investment account in which you invest $3,000 at 9.5%. If the account is compounded bi-monthly, how much money will be in the account after 10 years?
Answer:
$5850 is the answer
Step-by-step explanation:
P = $3000
R = 9.5%
T = 10 year
A = ?
So,
I = PTR/100
=(3000×9.5×10)/100
=285000/100
= $2850
So,
I = A-P
I+P = A
$2850 + $3000 = A
so, A = $5850
Found out the answer please I can't do this
Answer:
530.929158457
Step-by-step explanation:
13x13= 169 x pi= 530.929158457
Help plssssss I really need the answer asap! I’d really appreciate it
When x= 1, then y=
Just how ?
A rectangle has a perimeter of 18 cm. The long side is 1 cm more than three times the small side. How big is the small side?
Simplify the following completely, show all work. √-45
Answer:
[tex]3\sqrt{5}i[/tex]
Step-by-step explanation:
[tex]\sqrt{-45}[/tex]
[tex]\sqrt{-9*5}[/tex]
[tex]\sqrt{-9}\sqrt{5}[/tex]
[tex]3i\sqrt{5}[/tex]
[tex]3\sqrt{5}i[/tex]
What is the value of x
Answer:
18°
Step-by-step explanation:
Know that the intersection of two lines and the angles opposite each other are equal
3t+12=66
Subtract 12 from both sides
3t=54
Divide 3 from both sides
t=18
Determine the domain of the function (f o g)((x) where:
Answer: You have the correct answer. It's choice B
Domain = [tex]\left(-\infty, \frac{2}{5}\right)[/tex]
Nice work.
=========================================================
Explanation:
The domain of g(x) is found by setting 2-5x greater than or equal to 0 and solving for x. We're doing this to ensure that 2-5x is not negative.
[tex]2-5x \ge 0\\\\2 \ge 5x\\\\5x \le 2\\\\x \le \frac{2}{5}[/tex]
So we can plug in any number smaller than 2/5, or we can plug in 2/5 itself, into the g(x) function to get some output.
However, notice that if x = 2/5, then g(x) = 0. This then would feed into the f(x) function and lead to a division by zero error. Therefore, x = 2/5 must be kicked out of the domain of (f o g)(x). We keep everything else that we found earlier.
In short, the domain as an inequality is [tex]x < \frac{2}{5}[/tex], which is the same as saying [tex]-\infty < x < \frac{2}{5}[/tex] and that converts to the interval notation [tex]\left(-\infty, \frac{2}{5}\right)[/tex]
We don't use a square bracket because we don't want to include the endpoint 2/5.
hello! i hope your day is going great! whats 4x 2/1/2??
Answer:
4
Step-by-step explanation:
1/2=0.5
2/0.5=1
4x1=4