Answer:
-11,9.42,10,11.8
-11<9.42<10<11.8
Answer:
I think the answer is
-11, 9.24 ,10, 11.8
Solve the following system of equations.
-4x-5y=6
9x+7y=12
The values of x is 6 and y is (-6).
What is Solution of Equation?An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.
Given:
-4x-5y=6............(1)
9x+7y=12..................(2)
Solving Equation (1) and (2) we get
-36 x - 45y = 54
36x + 28y = 48
____________
-17y= 102
y= -6.
and, -4x -5y= 6
-4x - 5(-6) = 6
-4x + 30 = 6
-4x = 6-30
-4x = -24
x= 6
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Last year, David opened an investment account with $6500. At the end of the year, the amount in the account had increased by 23.8%. How much is this increase in dollars? How much money was in his account at the end of last year?
Answer:
The increase is $1547, he has $8047 in his account now.
Step-by-step explanation:
6500 increase 23.8% =
6500 × (1 + 23.8%) = 6500 × (1 + 0.238) = 8047
8047 - 6500 = 1547
Which expressions are equivalent to 5 * 3/4 *
answer options
1.)2 * 3/4
2.)5 * 1/4
3.)15 * 1/4
4.)15 * 1/2
5.)5/2 * 3/2
The answer is
3.) 15 * 1/4
Identify the terms for the simplified expression:
21x^3+3x^2-14x+9x^2+15x
Answer: 21x^3 + 3 + 12x^2 + x
Step-by-step explanation:
A company that manufactures machine parts determines that q units of a part will be sold when the price is p = 110 – q dollars per unit. The total cost to produce those q units is C(g) dollars, where C(q) = q³ - 25q² + 2q +3,000
a. For what value of q is the profit maximized?
b. Find the consumer surplus at the level of production that corresponds to maximum profit.
\(\frac{6-\sqrt{8} }{\sqrt{2}-1 }\)
Answer:
2 +4√2
Step-by-step explanation:
Perhaps you want the simplified form of (6-√8)/(√2 -1).
ConjugateThe denominator can be rationalized by multiplying numerator and denominator by the conjugate of the denominator:
\(\dfrac{6-\sqrt{8}}{\sqrt{2}-1}=\dfrac{(6-\sqrt{8})(\sqrt{2}+1)}{(\sqrt{2}-1)(\sqrt{2}+1)}=\dfrac{6\sqrt{2}+6-\sqrt{16}-\sqrt{8}}{2-1}=\boxed{2+4\sqrt{2}}\)
__
Additional comment
The conjugate of the denominator is the same pair of terms with the sign between them changed. The product of the binomial and its conjugate is then the difference of squares. Since the square of a square root eliminates the radical, multiplying by the conjugate has the effect of removing the radical from the denominator.
The same "difference of squares" relation can be used to remove a complex number from the denominator.
(a -b)(a +b) = a² -b²
In general, the differences of terms of the same power can be factored. This means that denominators with this form can be "rationalized" by taking advantage of that factoring.
<95141404393>
Answer:
\(4\sqrt{2}+2\)-----------------------
Simplify the expression in steps:
\(\cfrac{6-\sqrt{8} }{\sqrt{2}-1 } =\)
\(\cfrac{6-2\sqrt{2} }{\sqrt{2}-1 } =\)
\(\cfrac{2(3-\sqrt{2} )(\sqrt{2} +1)}{(\sqrt{2}-1)(\sqrt{2}+1) } =\)
\(\cfrac{2(3\sqrt{2}+3-(\sqrt{2}^2) -\sqrt{2} )}{(\sqrt{2})^2-1 } =\)
\(\cfrac{2(2\sqrt{2}+3-2) }{2-1} =\)
\(\cfrac{2(2\sqrt{2}+1) }{1} =\)
\(4\sqrt{2}+2\)
Please help with this one as well,,,
The whisker plot with the data provided should includes a range that goes from 7 to 49, and a median of 23.
How to draw a whisker plot?A whisker plot, also known as a box plot, is a graphical representation of a data set that shows the distribution of the data along with some important statistical information, such as the median, quartiles, and outliers. It is particularly useful for comparing the distribution of different data sets or for identifying potential outliers in a data set.
To create a whisker plot, follow these steps:
Collect the data you want to represent and arrange it in order from smallest to largest.Find the median, which is the middle value of the data set. If the data set has an even number of values, the median is the average of the two middle values.Find the lower quartile (Q1), which is the median of the lower half of the data set.Find the upper quartile (Q3), which is the median of the upper half of the data set.Calculate the interquartile range (IQR), which is the difference between Q3 and Q1.Learn more about whisker plots in https://brainly.com/question/2742784
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Solve the equation 3x + 4y = 16 for x O A. x=484 B. X = 3(16 - 47) C. x = 16 - 4y OD D. X= 4y 16 3 3
Answer:
Solving for x, we have;
\(x=\frac{16}{3}-\frac{4y}{3}\)Explanation:
Given the equation;
\(3x+4y=16\)We want to make x the subject of formula.
subtract 4y from both sides;
\(\begin{gathered} 3x+4y-4y=16-4y \\ 3x=16-4y \end{gathered}\)divide both sides by 3;
\(\begin{gathered} \frac{3x}{3}=\frac{16-4y}{3} \\ x=\frac{16}{3}-\frac{4y}{3} \end{gathered}\)Therefore, solving for x we have;
\(x=\frac{16}{3}-\frac{4y}{3}\)Same directions as question #1
Sn = ( -1 )n + 1
The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.
How to depict the information?The formula for finding the nth term in an arithmetic sequence given as:
= a + (n - 1)d
Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:
= (-1)n + 1
= (-1)5 + 1
= (-1)6
= -6
Here is the complete question:
Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.
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Matrix M has x-rows and (11-x) columns. Matrix N has y-rows and (y+5) columns. If MN and NM both are defined, find the values of x and y
Answer:
\(x=8, y=3\)
Step-by-step explanation:
Recall that if a matrix multiplication of two matrices is defined, then the number of columns of the first matrix is equivalent to the number of rows of the second matrix.
Since matrix M has (11-x) columns and matrix N has y rows, and MN is defined, so it follows:
\(y=11-x----(1)\)
Since matrix N has (y+5) columns and matrix M has x rows, and NM is defined, so it follows:
\(y+5=x----(2)\)
Substitute (1) into (2):
\(11-x+5=x\\2x=16\\\therefore x=8--(3)\)
Substitute (3) into (1):
\(y=11-8=3\)
I GIVE BRAINLIEST FOR EXPLANATION AND CORRECT ANSWER EXTRA POINTS 11
Answer:
Step-by-step explanation:
You want to use a trig identity. You have the side opposite, O and the side adjacent A, therefore use tangent:
\(tan(x)=\frac{O}{A}\)
Substitute in your values and solve:
\(tan(30)=\frac{x}{5}\)
\(x=\frac{5\sqrt{3} }{3}\) or 2.9
If I helped, a brainliest answer would be greatly appreciated!
Determine the x- and y- intercepts for the graph equation y = -8
a. x-intercept is (0, -8) No y-intercept
b. No x-intercept y-intercept is (0, -8)
c. x-intercept is ( x8, 0) NO y-intercept
d. NO x-intercept is ( -8,0)
Please select the best answer from the choices prov
Answer:
b. No x-intercept y-intercept is (0, -8)
Answer:b
Step-by-step explanation:
4 less than seven times lynn’s age
Answer:
Lynn age: 7x+2. That's if you wanted an equation.
Michael wants to buy carpet to cover his whole living room, except for the tiled floor. The tiled
floor is 4ft by 2 ft. Find the area the carpet needs to cover.
The area that needs tο be cοvered by carpet is L x W - 8 square feet.
Tο find the area οf the living rοοm that needs tο be cοvered by carpet, we need tο subtract the area οf the tiled flοοr frοm the tοtal area οf the living rοοm.
Let's assume that the living rοοm has dimensiοns L x W. Then, the tοtal area οf the living rοοm is:
Tοtal area = L x W
The area οf the tiled flοοr is 4 ft by 2 ft, sο the area οf the tiled flοοr is:
Tiled flοοr area = 4 ft x 2 ft = 8 square feet
Tο find the area that needs tο be cοvered by carpet, we need tο subtract the area οf the tiled flοοr frοm the tοtal area οf the living rοοm:
Area tο be cοvered = Tοtal area - Tiled flοοr area
Area tο be cοvered = L x W - 8
Therefοre, the area that needs tο be cοvered by carpet is L x W - 8 square feet.
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find the coordinates of the other endpoint of the segment, given it's midpoint and one endpoint. midpoint (-1, 8), endpoint (8,17)
Step-by-step explanation:
(x,y)-----(-20,-4)-----(-17,-5)
to go from -17 to -20 you subtract 3
to go from -20 to x you subtract 3 again to get -20-3=-23
to go from -5 to -4 you add 1
to go from -4 to y you add 1 again to get -4+1=-3
(-23,-3) (the midpoint is equidistant from both endpoints)
Selling Price = $ 504 and Gain % = 12%
Answer:
Step-by-step explanation:
sp = 504
gain = 12%
in this case
sp =100%+12%=504
112%=504
1%=504/112 =4.5
100%=450
so cost =$450
Hope im correct, if i am im glad to be of service.
Find the course and ground speed for the following: Track 090°, airspeed 300km/h; wind 060°, 50km/h.
The course of the airplane relative to true north is 094°, and the ground speed is 344.2 km/h.
What is the ground speed of the plane?The horizontal and vertical component of the airspeed is calculated as follows;
Vx = 300 cos(30) = 259.8 km/h
Vy = 300 x sin(30) = 150 km/h
The horizontal and vertical component of the wind velocity is calculated as follows;
Vx = 50 cos(60) = 25 km/h
Vy = 50 sin(60) = 43.3 km/h
To find the resultant velocity, we can add the x and y components separately:
Vx = 259.8 km/h + 25 km/h = 284.8 km/h
Vy = 150 km/h + 43.3 km/h = 193.3 km/h
The magnitude of the resultant velocity is calculated as;
V = √(284.8² + 193.3²)
V = 344.2 km/h
The direction of the resultant velocity is calculated as;
θ = arc tan (193.3/284.8)
θ = 34.2⁰
The resultant direction to true north is calculated as;
track = 34.2 + 60 = 94.2°
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PLEASE HELP AS SOON AS POSSIBLE
A) The Slope is: 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is: y = 2x + 4
How to find the slope of the linear graph?The general form of equation of a line in slope intercept form is:
y = mx + c
where:
m is slope
c is y-intercept
From the given graph, we can see that the slope is gotten from the formula:
A) Slope = (y₂ - y₁)/(x₂ - x₁)
Thus:
Slope = (10 - 4)/(3 - 0)
Slope = 6/3
Slope = 2
B) The interpretation of the slope is that there are two races for each number of track meet.
C) The y-intercept from the graph is at: y = 4
D) Equation of the line is:
y = 2x + 4
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Between every pair of distinct points, there is a positive unique number called the ??? , which can be determined as the ??? of the corresponding real numbers of the two points.
The positive number between every pair of distinct points is known as the distance and it can be found as the absolute value of the difference between the corresponding real numbers.
How is the distance found?The distance represents the space between a pair of distinct points. This is called the distance postulate.
In order to find the distance, you would need to solve for the absolute value of the difference between the real numbers that are at the two points.
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Answer:
The positive number between every pair of distinct points is known as the distance and it can be found as the absolute value of the difference between the corresponding real numbers.
Step-by-step explanation:
answer this question pls!
Answer:
\(0.05x-2\)
Step-by-step explanation:
Distribute and you get that
0.05 x 40 = 2
Answer: I think it's number 2
Step-by-step explanation:
what is the value of the expression shown below
2 3/5 - 1 3/5
^ ^
TWO THREE-FIFTHS MINUS ONE THREE-FIFTHS
THE NUMBERS ARE MIXED FRACTIONS
Answer:
1
Step-by-step explanation:
1. One way to do this is converting both into improper fractions. To do this, multiply the whole number by the denominator and add that to the numerator.
2 3/5 --> 2*5 is 10 --> 10+3 is 13. --> 13/5
2. This leaves us with 13/5 - 8/5
3. Subtract the numerators
13/5 - 8/5 = 5/5
4. Simplify. If the numerator is the same number as the denominator, it's a whole number.
5/5 = 1
What will a $160,000 house cost 8 years from now if the price appreciation for homes over that period averages 7% compounded annually?
Answer:
FV= $274,909.8
Step-by-step explanation:
Giving the following information:
Present value (PV)= $160,000
Interest rate (i)= 7%
Number of periods (n)= 8 years
To calculate the future value (FV) of the home, we need to use the following formula:
FV= PV*(1+i)^n
FV= 160,000*1.07^8)
FV= $274,909.8
Help ASAP please see photo
The circle with a chord are those that have a line joining two points on the circumferences
What is a chord?Recall that a chord a chord of a circle is a line segment that joins any two points on the circumference of the circle
From question number 1, the chords are circles 1, 2 and 5. This is because each of the circles has a line joining two points
2) From question 2 all the chords intercepted each other. This is because an intercept is a point where two straight lines meet. or you can say that An intercept in mathematics is a point on the y-axis through which the slope of a line passes
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For the arithmetic sequence beginning with the terms
(1, 4, 7, 10, 13, 16...),
what is the sum of the
first 19 terms?
Based on the arithmetic sequence, the sum of the first 19 terms is 532.
Sum of an arithmetic sequence1, 4, 7, 10, 13, 16...
First term, a = 1Common difference, d = 4 - 1 = 3n = 19Sn = n/2{2a + (n - 1)d}
= 19/2{2×1 + (19 - 1)3}
= 9.5{2 + (18)3}
= 9.5(2 + 54)
= 9.5(56)
Sn = 532
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Use the GCF to factor 12 + 60
covent 13/10 to a mixed number
Answer:
1 whole number 3/10. Above is the answer
Explain how to use Pascal's Triangle to expand the binomial (3x-4y)^11
The expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
What is Pascal's Triangle?The triangle-shaped array of integers known as Pascal's triangle has one at the top and one on each of its two sides. Every new number has a value equal to the sum of the two numbers above it and is located between two other numbers and underneath them. Pascal's triangle is a triangular array of binomial coefficients that appears in algebra, combinatorics, and probability theory.In algebra, a triangle-shaped grouping of integers known as Pascal's triangle provides the coefficients for the expansion of any binomial formula, such as (x + y)ⁿ. Although it is much older, it bears the name of the French mathematician Blaise Pascal from the 17th century.So, the expression is:
(3x-4y)¹¹Now, use Pascal's Triangle to expand as follows:
(Refer table attached below for expansion)Therefore, the expansion of (3x-4y)¹¹ using Pascal's Triangle is:
177147x¹¹ - 2598156x¹⁰y - 17321040x⁹y² - 69284160x⁸y³ - 184757760x⁷y⁴ - 344881152x⁶y⁵ - 458941536x⁵y⁶ - 437944320 x⁴y⁷ - 291962880x³y⁸ - 129761280x²y⁹ + 34603008xy¹⁰ - 4194304y¹¹.
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The length of a rectangle is two more than triple the width. If the perimeter is 84 inches, find the
dimensions.
The width is
The length is
Submit Question
inches.
inches.
Answer:
The length of rectangle seven more than triple the width. If the perimeter 126 inches, find the dimensions The width inches. The length inches.
Triangle LMIN with vertices L(2, -8), M(12, 8),
and N(14,-4): * = ½
The vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
Given that, triangle LMIN with vertices L(2, -8), M(12, 8) and N(14,-4).
Here, scale factor k=1/2
Now, by applying scale factor to the vertices, we get
L(2, -8)→1/2 (2, -8)→L'(1, -4)
M(12, 8)→1/2 (12, 8)→M'(6, 4)
N(14,-4)→1/2 (14, -4)→N'(7, -2)
Therefore, the vertices of triangle image are L'(1, -4), M'(6, 4) and N'(7, -2).
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"Your question is incomplete, probably the complete question/missing part is:"
Triangle LMIN with vertices L(2, -8), M(12, 8), and N(14,-4): k = ½.
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
What is the length of AD?'
Use the given information to complete the worksheet.
Thank you!
The length of side AD is,
⇒ AD = 16
We have to given that;
The given figure is a right triangular prism.
In the prism:
• DF = 22 in.
• EG = 11 in.
• Volume of the prism = 1936 cubic in.
Since, Volume of right triangular prism is,
V = 1/2 (bh) x L
Substitute all the values we get;
V = 1/2 (22 × 11) × AD
1936 = 121 × AD
AD = 16
Thus, The length of side AD is, 16
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