Answer:
a = 80
b = 40
c = 58
d = 19
e = 34
f = 36
Pls mark brainliest. Thanks!
Answer:
a = 80
b=40
c=58
d=19
e=34
f=36
Step-by-step explanation:
if the matrix M is a linear combination of the matrices Mi, M2 and M3:M = [2 3 ] [1 2 ]M1 = [ 2 2 ][ 1 1 ] M2 = [ -1 1 ][ 2 1 ]M3 = [ 1 2 ] [ 3 1 ]if so, determine scalars c1, c2, c3 such that c1M1 + c2M2 +C2M3 = M.
The scalars c1 = 2/5, c2 = -3/5, and c3 = -8/5 satisfy the equation:
c1M1 + c2M2 + c3M3 = [ 2 3 ][ 1 2 ]
We want to find the scalars c1, c2, and c3 such that:
c1M1 + c2M2 + c3M3 = M
Substituting the given matrices:
c1[ 2 2 ] c2[ -1 1 ] c3[ 1 2 ] [ 2 3 ]
[ 1 1 ] [ 2 1 ] [ 3 1 ] [ 1 2 ]
Multiplying each scalar by its corresponding matrix:
[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ]
[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ]
Setting the result equal to M:
[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ] = [ 2 3 ]
[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ] [ 1 2 ]
This gives us two equations:
2c1 - c2 + c3 = 2
2c1 + 2c2 + 3c3 = 3
c1 + 2c2 + 3c3 = 1
c1 + c2 + 2c3 = 2
We can solve this system of equations using any method we prefer, such as elimination or substitution. Here, we will use elimination.
Subtracting the first equation from the second, we get:
3c2 + 4c3 = 1
Subtracting the third equation from fourth, we get:
c2 - c3 = 1
Multiplying second equation by 2, we get:
4c1 + 4c2 + 6c3 = 6
Subtracting first equation from this, we get:
5c2 + 5c3 = 4
Now we have three equations for c2 and c3:
3c2 + 4c3 = 1
c2 - c3 = 1
5c2 + 5c3 = 4
Solving for c2 and c3 using elimination, we get:
c2 = -3/5
c3 = -8/5
Substituting these values into the third equation, we get:
c1 = 2/5
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A worker earns $9 per hour and works 25 hours each week. If the worker receives a 3% pay increase, how much additional pay will the worker earn each week?
Answer: $6.75
Step-by-step explanation:
25 hours times $9= $225/week
3% increase from $9.00= $0.27
$9.27 times 25 hours= $231.75
$231.75-$225= $6.75 more per week
The perimeter of a rectangle i 24x - 14. Find the width of the rectangle if it’ length i 6x-6
Answer:
Step-by-step explanation: yellow
Help me please!!!!!!!!!!!!!
Answer:
The new graph same y-intercept but a slope of -200 instead of -300 as in the old graph.
Step-by-step explanation:
The two equations are written in the form of y = mx + b. m is the slope and b is the y-intercept.
m, Slope b, Y-Intercept
Initial Plan: y = -300x + 2300 -300 2300
Modified Plan: y = -200x + 2300 -200 2300
The new graph same y-intercept but a slope of -200 instead of -300 as in the old graph.
which statements is true of the function f(x)= x2 + 6x3 - 4 + 2x5?
A. the function is positive for all values of x
B. the end behavior of the graph f(x) is similar to that of g(x) = -x
C.the graph has exactly one x-intercept
D. the function is increasing for all real numbers
The statements is true of the function f(x)= x^2 + 6x^3 - 4 + 2x^5 is C.the graph has exactly one x-intercept
How to show that the function has one interceptIt is shown that the function has one intercept in the x direction by plotting the graph of the polynomial
The graph showed one x intercept is at the coordinate (0.778, 0)
x intercept refers to the value of x when y is zero
The graph is plotted and attached
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I WILL GIVE BRAINILIST pls answer a and b Part A If Hank shoots from inside the three-point line, what can be said about his distance from the center of the basket? Part B Using the variable x to represent Hank's distance from the center of the basket, write an inequality for the situation you described in Part A.
A) if Hank shoots inside the three-point line we can say that he has to shoot 246 in to make the ball into the hoop.
B) then the direct, in a straight line to the center of the basket is : x = √2*246inches ^2
Answer:
x = √2*246inches ^2
Step-by-step explanation:
yw
14 A grain silo is shaped like a cylinder. The height of the silo is 60 feet tall, and the circumference of
the base is a 20tt feet. Which measurement is closest to the volume of the silo in cubic feet?
F 3,769.9 ft
G 75,398.2 ft
H 226,194.7 ft 3
3 18,849.6 ft
Answer:
\(Volume = 1906.14\)
Step-by-step explanation:
Given
\(Height = 60ft\)
\(Circumference = 20ft\)
Required
Determine the volume
First, we need to determine the radius of the base using:
\(C = 2\pi r\)
Substitute 20 for C
\(20 = 2 * 3.14 * r\)
\(20 = 6.28 * r\)
Solve for r
\(r = 20/6.28\)
\(r = 3.18\) -- approximated.
The volume is then calculated as thus:
\(Volume = \pi r^2h\)
\(Volume = 3.14 * 3.18^2 * 60\)
\(Volume = 1906.14\)
None of the given options is close to the volume of the silo
The cost of manufacturing a printer is $35. The
retailer has a markup of 35%. What is the selling
price of the printer?
Show work plz
Answer:
$47.25
Step-by-step explanation:
First, we find how much the markup costs:
35%=35/100
So we do,
35/100x$35 = $12.25
To find the total price of everything, we have to add the price markup AND the original cost of the printer.
So we do, 35 + 12.25 = $47.25
I hope this helps!:)
Consider the following IS-LM model: C=217+0.51Y D I=156+0.16Y−1,038i G=254 T=203 i=0.04 The IS equation is determined to be Y=1,586.27−3,145.45. The LM equation is given as i=0.04. Using the IS and LM equations, the equilibrium real output, Y, is (Round your response to the nearest integer.) Using the IS-LM model, the equilibrium value of consumption, C, is (Round your response to the nearest integer.)
In the given IS-LM model, the equilibrium real output, Y, and the equilibrium value of consumption, C, can be determined using the IS and LM equations. The IS equation relates output to the interest rate, while the LM equation represents the equilibrium condition in the money market. By substituting the given values into the equations, we can find the equilibrium values.
The IS equation is given by: Y = 1,586.27 - 3,145.45i.
The LM equation is given as: i = 0.04.
To find the equilibrium real output, we substitute the value of i from the LM equation into the IS equation:
Y = 1,586.27 - 3,145.45 * 0.04.
Calculating the right side of the equation, we have:
Y = 1,586.27 - 125.82,
Y ≈ 1,460.
Therefore, the equilibrium real output, Y, is approximately 1,460.
To find the equilibrium value of consumption, we substitute the equilibrium real output, Y, into the consumption function:
C = 217 + 0.51Y.
Substituting Y = 1,460, we have:
C = 217 + 0.51 * 1,460.
Calculating the right side of the equation, we find:
C ≈ 984.
Therefore, the equilibrium value of consumption, C, is approximately 984.
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.1012
Here, we want to find the value of x
As we can see, x faces the right angle and thus it is the hypotenuse
According to Pythagoras' theorem, the square of the hypotenuse equals the sum of the squares of the two other sides
Thus, we have it that;
\(\begin{gathered} x^2=10^2+12^2 \\ x^2\text{ = 100 + 144} \\ x^2\text{ = 244} \\ x\text{ = }\sqrt[]{244} \\ x\text{ = 15.62} \end{gathered}\)please help me out, thank you so much whoever does :)))
Answer:
6.5 cm is the answer
What an odd measurement
Answer:
6.5cm
Step-by-step explanation:
pythagoras theorem
h² = o² + a²
11.1² = o² + 9²
123.21 = o² + 81
123.21 - 81 = o²
42.21 = o²
o = 6.5cm
what is the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each?
2/221 is the probability that a 2-card hand has two queens, two kings, or one of each.
What is probability?Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or the probability that a statement is true.Probability varies between zero and 1, wherein zero approaches are not possible and 1 approach is certain.Now, calculate the probability as follows:
There are 4 kings and 4 queens in a deck of cards.Then, it can be either KK or QQ.
Select 2 kings from 4 king cards that can be done in 4c₂=6 ways.Select 2 queens from 4 queen cards that can be done in c₂ = 6 ways.Total ways = 52c₂ = 1326So required probability = 2king or 2 queen
= 6/1326 + 6/1326= 12/1326= 2/221Therefore, the probability that a 2-card hand (drawn from a standard deck of 52) has two queens, two kings, or one of each is 2/221.
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Which one of these is not a step used when constructing an inscribed equilateral triangle using technology? (5 points)
Create a circle using the center with given point tool.
Use the compass tool to create three more circles, with the same radii as the first.
Connect the point with a line through the center of the circle.
Create another circle with the same radius as the original.
Answer:
again i can not see the given point
Step-by-step explanation:
- 1/2 + ( 3/4 x 4/9)
Answer:- 1/6
Step-by-step explanation:
Find the area of the parallelogram below.
The formula for finding the area of a parallelogram is Base x height
A = Bh
In this case the base (the longest side) is 8 cm and the height (distance between the obtuse angle and the base) is 5 cm
A = 8 * 5
A = 40 cm²
Hope this helps!
~Just a girl in love with Shawn Mendes
Answer: 40cm²
The formula is Base × Height. We can find the area if we multiply the Base and Height.
A = Bh
As for that, the Base is the upper length, which is 8 and the height is the obtuse angle inside the parallelogram, which is 5.
Since we got our lengths, we can solve.
Remember how I said the formula is A = Bh. (Area = Base × Height)
So, we can multiply 8 by 5 to get the area.
8 times 5 will equal 40.
Hence, 40cm² is the answer.
Find the value of x in the triangle shown below.
Answer:
x = \(\sqrt{53}\)
Step-by-step explanation:
\(a^{2}\) = \(b^{2}\) + \(c^{2}\)
\(x^{2}\) = 7² + 2²
\(x^{2}\) = 49 + 4
\(x^{2}\) = 53
\(x\) = \(\sqrt{53}\)
please can someone teach me how to round off to hundred
Answer:
So if you have a 165 so the 5 is half of 10 so the 6 will got up but if you have 133 the three is lower then 5 so it would round down
Step-by-step explanation:
A coffee shop is running a promotion where a number of free coffee samples are given away each day. The equation above can be used to model the number of free coffee samples, y, that remain to be given away x days after the promotion began. What does it mean that (11, 0) is a solution to this equation?
110xy = 1,210
A) During the promotion, 11 samples are given away each day.
B) It takes 11 days during the promotion to see 1,210 customers.
C) It takes 11 days during the promotion until none of the samples are remaining.
D) There are 11 samples available at the start of the promotion
Answer:
C
Step-by-step explanation:
First, let us clarify what (11, 0) represent
(x, y) ---> (11, 0)
The values are as followed:
x = 11
y = 0
If the problem states that x is the number of days after the promotion started, then it will be 11 days.
When we assert that it has been 11 days, we rule answers A and D.
If the problem states that y is the number of free coffee samples that remain after 11 days (because x is included in this statement), then it will be 0 samples.
Therefore, the answer will be C. After 11 days of the promotion, there will be 0 samples that are left.
Find an equation for the conic that satisfies the given conditions. ellipse, foci (0, 3), (0, 7), vertices (0, 0), (0, 10)
An equation for the ellipse that satisfies the given conditions is \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)
For given question,
We need to find an equation of ellipse having foci (0, 3), (0, 7), vertices (0, 0), (0, 10)
The x -coordinates of the vertices and foci are the same, so the major axis is parallel to the y -axis.
Thus, the equation of the ellipse will have the form
\(\frac{(x-h)^2}{a^2}+\frac{(y-k)^2}{b^2}=1\)
First, we identify the center, (h, k) .
The center is halfway between the vertices, (0, 0), (0, 10)
Applying the midpoint formula, we have:
\(\Rightarrow (h,k)=(\frac{0+0}{2} ,\frac{0+10}{2} )\\\\\Rightarrow (h,k)=(0,5)\)
Next, we find a² .
The length of the major axis, 2a , is bounded by the vertices.
We solve for 'a' by finding the distance between the y-coordinates of the vertices.
⇒ 2a = 10 - 0
⇒ 2a = 10
⇒ a = 5
⇒ a² = 25
Now we find c² .
The foci are given by (h, k ± c)
So, (h, k - c) = (0, 3) and (h, k + c) = (0, 7)
k - c = 3
k + c = 7
After solving above system of equations we have,
c = 2 and k = 5
So, c² = 4
Next, we solve for b² using the equation c² = a² - b²
⇒ 4 = 25 - b²
⇒ b² = 25 - 4
⇒ b² = 21
Now, we substitute the values found for h, k, a², and b² into the standard form equation for an ellipse:
\(\Rightarrow \frac{(x-0)^2}{25}+\frac{(y-5)^2}{21}=1\\\\\Rightarrow \frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)
Therefore, an equation for the ellipse that satisfies the given conditions is \(\frac{x^2}{25}+\frac{(y-5)^2}{21}=1\)
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im just trying get this over with haha dont guess please, if you dont know the answer then dont answer
We can see here that:
1. x-y=3
3x + y = 1 - One solution
2. y = 5x-4
y=5x+13 - No solutions
3. 4g + r = 12
8g= -2r+24 - Infinite number of solutions
4. 3y+ 15x = -1
y = 4-5x - No solutions
What is a system of equation?A system of equations is a set of two or more equations that are related to each other and must be solved simultaneously to find the values of the variables involved. A system of equations represents a situation in which multiple unknowns are related to each other in a specific way, and finding a solution requires finding the values of all the unknowns that satisfy all the equations in the system.
Solving:
x-y=3 ----eq. 1
3x + y = 1 ----eq. 2
Thus, x = 3+y --- eq. 3
Substituting it into eq. 2, we have:
3( 3+y ) + y = 1
9 + 3y + y = 1
9 + 4y = 1
4y = 1-9
4y = -8
y = -8/4 = -4
Substituting y in eq. 1, we have:
x - (-4) = 3
x + 4 = 3
x = 3 - 4 = -1.
Thus, one solution.
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Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution. 8e^x-5=0
The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:
x = ln(5/8).
How to define the logarithmic form of the exponential equation?The exponential function in this problem is defined as follows:
8e^x-5 = 0.
The equation can be sorted isolating the exponential as follows:
8e^x = 5.
e^x = 5/8.
The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:
ln(e^x) = ln(5/8).
As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:
ln(e^x) = x.
Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:
x = ln(5/8).
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\(3({\frac{7}{5} x+4)-2(\frac{3}{2} -\frac{5}{4}x)\)
Answer: -1.34328358
Step-by-step-explanation;
3(7/5x + 4) - 2(3/2-5/4x) = 0
3·(7/5·x + 4) - 2·(3/2-5/4·x) = 0
134x = -180
x = -180/134 = -1.34328358
x+5/4=-3
the x+5 is the numerator and 4 the donomater
Before I answer:
Thanks for making it more clear
Answer:
x = -17
Step-by-step explanation:
-17 + 5 = -12
-12 ÷ 4 = -3
y /3 − –7 = 10 solve for y
Answer:
9
Step-by-step explanation:
10+ -7
3
3 = 9/3
9
Although the samples are actually related, an investigator ignores this fact in the statistical analysis and uses a t test for two independent samples. How will this mistake affect the probability of a type II error
It is important to choose the appropriate statistical test that takes into account the nature of the data and the study design to minimize the risk of making a type II error.
Using a t-test for two independent samples instead of a paired t-test when the samples are related (i.e., paired or dependent) can increase the probability of a type II error.
In a paired sample design, each individual or object in one sample is matched or related to a corresponding individual or object in the other sample. Because of this pairing, the observations in the two samples are not independent of each other, and using a t test for independent samples may not account for the dependency between the samples.
By ignoring the relatedness of the samples, the investigator may be introducing additional variability and error into the analysis, which can reduce the statistical power of the test and increase the probability of a type II error (i.e., failing to reject a null hypothesis that is actually false).
Therefore, it is important to choose the appropriate statistical test that takes into account the nature of the data and the study design to minimize the risk of making a type II error.
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Helppppppppppppppppp
Answer:
a)
\(2.3860000 \times {10}^{7} \)
b)
\(6.89 \times {10}^{ - 3} \)
If five times a whole number increased by 3 is less than 13, then find the solution set.
C-Ice is a canned beverage made from tea and cannabis that is marketed in Europe as a nutritional drink that can boost the user's immune system. It can only be purchased at health food stores. This limitation on the _____ element of its marketing mix strategy supports the product’s competitive advantage.
a. planning
b. product
c. promotion
d. distribution
e. production
2. Which of the following is NOT an example of a product's tangible feature?
a. brand equity
b. packaging
c. color
d. weight
e. size
This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.
The one which is not representing an example of a product's tangible feature is brand equity.
The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.
By exclusively selling C-Ice at health food stores,
The company creates a selective distribution channel that positions the product as a specialized and premium offering.
This limited availability enhances the perception of exclusivity.
And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.
Brand equity is not an example of a product's tangible feature.
Brand equity refers to the intangible value and perception associated with a brand,
Such as its reputation, customer loyalty, and brand recognition.
Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.
Examples of tangible features include packaging, color, weight, and size.
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Having the mean delivery time (10:28am) and the standard deviation (0:55 mins), you now estimate the times within which 95% of the deliveries are made. the interval is: between 8:12 am and 12:43 pm between 8:38 am and 12:18 pm between 9:45 am and 10:15 am between 10:17 am and 12:32 pm
Based on the given mean delivery time of 10:28am and the standard deviation of 0:55 mins, the estimated times within which 95% of the deliveries are made is (a) between 8:38 am and 12:18 pm.
To calculate this interval, we need to use the z-score formula, where we find the z-score corresponding to the 95th percentile, which is 1.96. Then, we multiply this z-score by the standard deviation and add/subtract it from the mean to get the upper and lower bounds of the interval.
The upper bound is calculated as 10:28 + (1.96 x 0:55) = 12:18 pm, and the lower bound is calculated as 10:28 - (1.96 x 0:55) = 8:38 am.
Therefore, we can conclude that the interval between 8:38 am and 12:18 pm represents the estimated times within which 95% of the deliveries are made based on the given mean delivery time and standard deviation.
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I need help with my homework please help
The formulas for the rigid transformations of the figures are listed below:
Case 1: (x, y) → (x - 10, y + 9)
Case 2: (x, y) → (- y, x)
Case 3: (x, y) → (- x, y)
Case 4: (x, y) → (- y, x)
Case 5: (x, y) → (x, - y)
Case 6: (x, y) → (x, y + 10)
How to determine the transformation rule for each case
In this question we find six cases of rigid transformations applied on figures. The most common rigid transformations are listed below:
Translation: (x, y) → (x + a, y + b), where a, b are real numbers.Reflection about x-axis: (x, y) → (x, - y)Reflection about y-axis: (x, y) → (- x, y) Rotation: (x, y) → (x · cos θ - y · sin θ, x · sin θ + y · cos θ), where θ is the angle of rotation.Then, by direct inspection, we derive the following rigid transformations:
Case 1 (Translation)
(x, y) → (x - 10, y + 9)
Case 2 (Rotation)
(x, y) → (x · cos (- 270°) - y · sin (- 270°), x · sin (- 270°) + y · cos (- 270°))
(x, y) → (- y, x)
Case 3 (Reflection about y-axis)
(x, y) → (- x, y)
Case 4 (Rotation)
(x, y) → (x · cos 90° - y · sin 90°, x · sin 90° + y · cos 90°)
(x, y) → (- y, x)
Case 5 (Reflection about x-axis)
(x, y) → (x, - y)
Case 6 (Translation)
(x, y) → (x, y + 10)
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