(x,y,z)=(19,14,3)
What is equation matrix and vector?This means that by dividing the inverse of the A matrix by the B matrix, we may calculate the values of x, y, and z (the X matrix).An arrangement of numbers, occasionally expressions and symbols, in rows and columns is called a matrix. Quantum mechanics, optics, mathematics, and other mathematical functions are all solved using matrix formulas.It's not nearly as difficult as it sounds; all you have to do is multiply the rows by the columns and add up the components.In geology, seismic surveys are carried out using matrix technology. They are employed in the production of graphs, statistics, calculations, and scientific investigations and research in a range of fields.A matrix is a collection of numbers, while a vector is a list of numbers that can be in either a row or a column (one or more rows, one or more columns).To learn more about equation matrix refer to:
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The two triangles shown are similar. Find the value of.
a
b
2.1
1.4
need help 5 stars and good rating for math problem
Answer: the 20 ounce box cost less per ounce
Step-by-step explanation:
What is the total distance from (-4,-6) (5,-6) in miles
Answer:
9 miles
Step-by-step explanation:
y axis is the same so we can ignore that.
x1 = -4 and x2 = 5
|x1 - x2| = |-5-4| = 9
A circle has radius of 3 yards. What is its area to the nearest square yard?
Answer:
88.7364 yards ²
Step-by-step explanation:
the equation for area of a circle is A= π r² .. so ud just fill in the equation !!
i hope this helps and have a great day :)
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
x y
4 –39
5 –40
6 –41
7 –42
y =__ x −__
The linear equation that represent the table is y = -x - 35
How to find a linear equation?A linear equation is an equation in which the highest power of the variable is always 1.
The linear equation of the table can be represented in slope intercept form as follows:
y = mx + b
where
m = slopeb = y-interceptHence,
m = -40 + 39 / 5 - 4
m = - 1 / 1 = -1
Hence, using (4, -39)
y = -x + b
-39 = -4 + b
-39 + 4 = b
b = -35
Therefore,
y = -x - 35
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Pls help me with my missing work
Answer:
0.07=0.70 is not true
Step-by-step explanation:
0.70 is greater than the value 0.07.
Answer:
D.) 0.07 = 0.70
Step-by-step explanation:
This is NOT true because this should be 0.07 < 0.70 because 70 is greater than 7
which inequality is represented in the graph below
Answer:
1. y ≥ -3x + 4
Step-by-step explanation:
i graphed all of them on a graphing calculator and 1 was the only one that matched up
Find the angle 1 in this photos
Answer:
2. m∠1 = 129°
3. m∠1 = 37°
Step-by-step explanation:
We know that the sum of all interior angles in a triangle adds up to 180°.
2. To find measure 1 for problem 2, we can see that ∠1 is a supplementary angle with the interior angle in side
180°-(67°+62°)
180°-129°
51°
Now that we found the missing interior angle, we can find ∠1
180°-51° = 129°
m∠1 = 129°
3. Same thing as well for this problem except we're going to be going reverse we need to find the supplementary angle first, then we can find m∠1.
180°-152° = 28°
Now that we found the interior angle, we can find m∠1
180° - (115°+28°)
180°-(143°)
37°
m∠1 = 37°
Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20
Input 1,2,3,4,5, n output 7,9,11,13, ?please help me find the linear function!
Answer:
f(x) = 2x + 5.
Step-by-step explanation:
The input values are your x-coordinates, while the output values are your y-coordinates. You could simply select two pairs of coordinates and solve for the slope, using the formula:
m = (y2 - y1)/(x2 - x1)
Let (x1, y1) = (1, 7)
(x2, y2) = (2, 9)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (9 - 7) / (2 - 1)
m = 2/1 = 2
Therefore, the slope of the line is 2.
Next, we need to determine the y-intercept. The y-coordinate (b) of the point, (0, b ) is the y-intercept of the line where the graph of the linear equation crosses the y-axis. The y-intercept is also the value of y when x = 0.
Using the slope, m = 2, and one of the given points, (1, 7), substitute these values into the slope-intercept form [f(x)= mx + b]to solve for the y-intercept, b:
f(x) = mx + b
7 = 2(1) + b
7 = 2 + b
Subtract 2 from both sides to solve for b:
7 - 2 = 2 - 2 + b
5 = b
Therefore, the y-intercept, b = 5.
Given the slope, m = 2, and the y-intercept, b = 5:
The linear function is: f(x) = 2x + 5.
Please mark my answers as the Brainliest, if you find this helpful :)
Answer:
y=2x+5
Step-by-step explanation:
help me pls w dis question i need help
Answer:
A:10B: \(\frac{A}{2}\)
Step-by-step explanation:
[] Let A be Amy, B be Bill, and C is Cara.
-> Amy's score was ten times Bill's score
A * 10 = B or 10A = B
-> Cara's score was half of Amy's score
C = A * \(\frac{1}{2}\) or C = \(\frac{A}{2}\)
[] The ratio is A to B to C because it asks for Amy to Bill to Cara. We can use our numbers from above to solve. This problem seems to revolve around Amy, so she can be set to A.
-> A = A
-> B = 10A
-> C = \(\frac{A}{2}\)
A:10B: \(\frac{A}{2}\)
Have a nice day! - hopefully this is correct, different math classes look for different things.
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
I need this asap plsss help me!!!!!
If the diameter is d = 8, then we divide that in half to get the radius of r = 4.
If the radius is r = 9, then we double it to get the diameter of d = 18
The formulas are:
radius = diameter/2diameter = 2*radiusI'll let you determine the others.
Answer:
Step-by-step explanation:
Diameter is twice the radius. d = 2*r
Radius is half the diameter r = d÷2
1) d = 8
r = 8÷ 2
r = 4
2) r = 9
d = 2*r
= 2*9
d = 18
3) r = 24
d = 24*2 =48
4) d = 36
r = 36 ÷2 = 18
5) d = 52
r = 52÷2 = 26
The radius of the base of a cylinder is expanding at a constant rate of 3 mm/min. If the height of
the cylinder is a constant 20 mm, find the rate at which the VOLUME of the cylinder is changing at the
moment when the radius of the base of the cylinder is 10 mm. Also find the rate at which the SURFACE
AREA of the cylinder is changing at this same moment.
(V = r²h, SA=2лrh+2rr²)
I’m getting 1800pi mm^3/min for volume and 360pi mm^2/min for surface area but I’m not sure if it’s correct
The rate at which the volume of the cylinder is changing is 600 mm^3/min, and the rate at which the surface area is changing is 240π mm^2/min.
To find the rate at which the volume and surface area of the cylinder are changing, we can use the given formulas for volume and surface area and differentiate them with respect to time. Let's calculate the rates at the moment when the radius of the base is 10 mm.
Given:
Radius rate of change: dr/dt = 3 mm/min
Height: h = 20 mm
Radius: r = 10 mm
Volume of the cylinder (V) = \(r^2h\)
Differentiating with respect to time (t), we have:
dV/dt = 2rh(dr/dt) + \(r^2\)(dh/dt)
Since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dV/dt = 2(10)(20)(3) + (10^2)(0)
dV/dt = 600 + 0
dV/dt = 600 mm^3/min
Therefore, the rate at which the volume of the cylinder is changing at the given moment is 600 mm^3/min.
Surface area of the cylinder (SA) = 2πrh + 2π\(r^2\)
Differentiating with respect to time (t), we have:
dSA/dt = 2πr(dh/dt) + 2πh(dr/dt) + 4πr(dr/dt)
Again, since the height of the cylinder is constant, dh/dt = 0.
Substituting the given values:
dSA/dt = 2π(10)(0) + 2π(20)(3) + 4π(10)(3)
dSA/dt = 0 + 120π + 120π
dSA/dt = 240π mm^2/min
Therefore, the rate at which the surface area of the cylinder is changing at the given moment is 240π mm^2/min.
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1 a tobacco company produces blends of tobacco, with each blend containing various proportions of turkish, domestic, and other tobaccos. the proportions of turkish and domestic in a blend are random variables with joint density function (x
(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.
(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:
P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5
Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.
(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:
f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1
Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).
(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:
P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)
We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:
∫[0,1/8] 24xy dx = 27/128
To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:
∫[0,1/4] 24xy dx = 3
Thusly, the contingent Probability is:
P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128
(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:
P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx
= 7/36
Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36
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The complete question is:
A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.
A mammogram is used to screen women for breast cancer. False positives are tests that incorrectly show a positive result. 85% of positive mammograms are actually false positives. If 1,000 women receive mammograms, and 200 are told there is an abnormal finding, how many women are likely to actually have breast cancer?
Answer:
30
Step-by-step explanation:
200 x .15 (1-.85 = .15)
30
n Circle E, if measure of arc AB = 140, find the m
Answer:
noob
Step-by-step explanation:
lol imagine not knowing, u noob
A one-quart container of tomato soup is shaped like a rectangular prism. A soup bowl shaped like a hemisphere can hold 8 oz of liquid. How many bowls will the soup container fill? Recall that 1 quart is equivalent to 32 fluid ounces (oz).
Answer:
4 bowls
Step-by-step explanation:
Hope this helps
Answer:
Yes the other person is right
Step-by-step explanation:
Mr. Martinez has a 16-ounce Starbucks drink. He drinks 10 ounces. What is the percent of ounces Mr. Martinez has left of his drink?
well, he has left only 6 oz.
now, if we take the 16(origin amount) to be the 100%, what is 6 off of it in percentage?
\(\begin{array}{ccll} amount&\%\\ \cline{1-2} 16 & 100\\ 6& x \end{array} \implies \cfrac{16}{6}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{ 8 }{ 3 } ~~=~~ \cfrac{ 100 }{ x }\implies 8x=300\implies x=\cfrac{300}{8}\implies x=\cfrac{75}{2}\implies x=37.5\)
Please slove this math.3 number math
The value of x and y based on the equation will be 3 2/3 and 4 respectively.
How to compute the values?The equation given in the question is represented below:
x/5 + y/3 = 3 ..... equation i
3x - 2y = 3 ...... equation ii
Equation i can be rewritten as 3x + 5y = 15
The equations will be:
3x + 5y = 15
3x - 2y = 3
Subtract equation ii from i
3y = 12
Divide both side by 3
3y/3 = 12/3
y = 4
Put y = 4 into equation ii
3x - 2y = 3
3x - 2(4) = 3
3x - 8 = 3
3x = 3 + 8
3x = 11
x = 11/3 = 3 2/3
Therefore, the value of x and y based on the equation will be 3 2/3 and 4 respectively.
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Which fraction is NOT equivalent to 20%?* 0 20/100 04/20 6/40 O 2/10
Answer:
6/40
Step-by-step explanation:
its 6/40 because 6 is not 20 percent of 40.
Which of these ordered pairs is a solution to the inequality?
1/4x ≤ 7/3y +2
Responses
A (80, 6)
B (48, 9)
C (40, 3)
D (2, –6)
Please show step by step as I need to learn how to do these problems. Thank you
Answer: D
Step-by-step explanation:
To determine which ordered pair is a solution to the inequality, we can substitute the values of x and y into the inequality and check if it is true.
Let's start with ordered pair A (80, 6):
1/4x ≤ 7/3y + 2
1/4(80) ≤ 7/3(6) + 2
20 ≤ 14 + 2
20 ≤ 16
This is not true, so ordered pair A is not a solution to the inequality.
Now let's try ordered pair B (48, 9):
1/4x ≤ 7/3y + 2
1/4(48) ≤ 7/3(9) + 2
12 ≤ 21 + 2
12 ≤ 23
This is also not true, so ordered pair B is not a solution to the inequality.
Next, let's try ordered pair C (40, 3):
1/4x ≤ 7/3y + 2
1/4(40) ≤ 7/3(3) + 2
10 ≤ 7 + 2
10 ≤ 9
This is false, so option C is not a solution to the inequality.
Finally, we have option D: (2, -6)
1/4(2) ≤ 7/3(-6) + 2
1/2 ≤ -14 + 2
1/2 ≤ -12
This is true, so option D is a solution to the inequality.
Therefore, the answer is D: (2, -6).
Using the formula developed by Dr's Mosteller, doctors can approximate the Body Surface Area TIW (BSA) of an adult The formula is written as BSA where H is the Height in cm and W is 3800 the Weight in kg: If the BSA of a certian adult is 96 whose height Is 210 cm. About how much does this adult weight? The adult weights (Round t0 decimal place )
From the body surface area formula, the adult weight is 508.97.
The Mosteller formula takes the square root of the height multiplied by the weight divided by 3600
The Body Surface Area TIW (BSA) of an adult.
The formula is written as BSA
where H is the Height(cm), Weight is 3800(kg)
BSA=96
Height=210cm
BSA=\(\sqrt{\frac{H*W}{3600} }\)
\(96=\sqrt{\frac{210*W}{3600} \\\)
\(96=\frac{\sqrt{210*W}}{\sqrt{3600} } \\96=\frac{14.49*\sqrt{W}\\}{61.64}\\ 96=\frac{\sqrt{W} }{0.235}\\ 96*0.235=\sqrt{W}\\ 22.56=\sqrt{W}\\\)
Squaring on both sides
508.97=W
Therefore, the adult weight is 508.97(kg).
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KMZ~ KDH; find z.
F
21
D
6x + 3
E 17
G
8x-1
C
Answer:
x=8
Step-by-step explanation:
Triangle DCE is similar to EGF
CE/EF=DE/EG
Substitute
(8x-1)/21=(6x+3)/17
Cross multiply
(8x−1)*(17)=(6x+3)*(21)
136x−17=126x+63
Subtract 126x from both sides
10x−17=63
Add 17 to both sides.
10x−17+17=63+17
10x=80
Divide both sides by 10.
x=8
0.4x10
Help•••••••••••••
Answer: 4
Step-by-step explanation:
multiplying by 10 = move over 1 10s place so 0.4 * 10 = 4
Answer:
4
Step-by-step explanation:
0.4 x 10 = 4.0
Bennett Griffin and Chula Garza organized Cole Valley Book Store as a corporation; each contributed $71,500 cash to start the business and received 5,600 shares of common stock. The store completed its first year of operations on December 31, current year. On that date, the following financial items for the year were determined: December 31, current year, cash on hand and in the bank, $69,250; December 31, current year, amounts due from customers from sales of books, $43,500; unused portion of store and office equipment, $72,500; December 31, current year, amounts owed to publishers for books purchased, $12,400; one-year note payable to a local bank for $3,200. No dividends were declared or paid to the stockholders during the year.
Required:
Complete the following balance sheet as of the end of the current year. Some information has been given below.
What was the amount of net income for the year? (Hint: Use the retained earnings equation [Beginning Retained Earnings + Net Income − Dividends = Ending Retained Earnings] to solve for net income.)
he net income for the year is $16,550.
Calculation of the net income for the year:Retained earnings equation is:Beginning Retained Earnings + Net Income − Dividends = Ending Retained EarningsWhere, Beginning Retained Earnings = $0 (not given)Ending Retained Earnings = $16,550 (calculated from balance sheet)Dividends = $0 (not given)
Therefore,Net Income = Ending Retained Earnings - Beginning Retained Earnings + Dividends= $16,550 - $0 + $0= $16,550 Balance Sheet of Cole Valley Book Store as of December 31, current year:Current assets Cash on hand and in bank = $69,250 Amounts due from customers from sales of books = $43,500 Total current assets = $112,750 Property, plant, and equipment Unused portion of store and office equipment = $72,500
Total assets = $185,250Liabilities Amounts owed to publishers for books purchased = $12,400 One-year note payable to a local bank = $3,200 Total liabilities = $15,600 Stock holders' Equity Common stock, 5,600 shares at $71,500 = $400,400 Retained earnings, beginning = $0Net income = $16,550 Retained earnings, ending = $16,550 Total stockholders' equity = $416,950Total liabilities and stockholders' equity = $185,250 + $15,600 + $416,950= $617,800
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Subtract 4 from 8. Then, multiply by z.
Answer:
Kinda vague but here...
Step-by-step explanation:
z*(8-4)
z*(4)
4z
A
B
C
D
Pick a letter
Answer: D
Step-by-step explanation:
1 in.=1488 milesx5=7440 miles.
Area= pi x r^2
=pi x (7440)^2 or option D.
Hope this helps :)
help
What are the solutions to the following system of equations? y = x2 + 8x + 12 3x + y = −6
The solutions for the given system of equations are (-9, 33) and(-2, 12).
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
The given system of equations are y=x²+8x+12 -----(i) and 3x+y=-6 -----(ii).
Here, y=-6-3x in the equation (i), we get
-6-3x=x²+8x+12
x²+8x+12+6+3x=0
x²+11x+18=0
Splitting middle term method, we get
x²+9x+2x+18=0
x(x+9)+2(x+9)=0
(x+9)(x+2)=0
x=-9 or x=-2
Substitute x=-9 in the equation (ii), we get
y=-6-3(-9)
y=33
Substitute x=-2 in the equation (ii), we get
y=-6-3(-2)
y=12
So, solutions are (-9, 33) and(-2, 12)
Therefore, the solutions for the given system of equations are (-9, 33) and(-2, 12).
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Aircraft A has 105 more seats than aircraft B. If their total number of seats is 519, find the number of seats for each aircraft.
Aircraft A has how many seats?
Aircraft A has 312 seats.
Let's assume that Aircraft B has x seats.
According to the given information, Aircraft A has 105 more seats than Aircraft B. So, the number of seats in Aircraft A can be expressed as x + 105.
The total number of seats in both aircraft is 519, which can be represented by the equation:
x + (x + 105) = 519
Simplifying this equation, we have:
2x + 105 = 519
Subtracting 105 from both sides, we get:
2x = 414
Dividing both sides by 2, we find:
x = 207
Therefore, Aircraft B has 207 seats.
To find the number of seats in Aircraft A, we substitute the value of x back into the expression x + 105:
Aircraft A = 207 + 105 = 312
Hence, Aircraft A has 312 seats.
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Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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