Answer:
point S
Step-by-step explanation:
mooo! hope this helps
(8^4 tu^2)(8^7 t^-1)
Answer:
I could give you an example but I can't give you an answer
Step-by-step explanation:
To Acquire
The Value of 20/4+8/3
Firstly ,we need to find out the LCM of the denominators
12
Now,
We've to Multiply the numerator with the number which is divisible by the resulting LCM from the respective denominator
just like ,here ,12/4 = 3 so we'll Multiply 3 by the numerator of 4 i.e 20 => 20*3 = 60
We'll apply the same thing with the other one
12/3=4 => 4*8 = 32
Now ,we will add the resulting numerators and will keep it in a fraction with the denominator = LCM of 4&3=12
60+32/12
92/12
46/6
23/3
7 ⅔
A new car costs $8000 at full price. With a sales tax of 5.75%, how much will the car cost in total?
Answer:
$8460
Step-by-step explanation:
So for this problem we will use the base price of $8000 and add the additional cost of the 5.75% to find the total cost for the car.
So, to find the 5.75%, we simply multiply 8000 by .0575 to get 460.
So 8000 + 460 = 8460.
Thus, the total price of the car would be $8460.
Cheers.
Answer: $8,460
Step-by-step explanation: If you multiply the cost of the car by the sales tax you get your answer. Hope this helps!
Calculate the perimeter of a rectangle whose length is twice its width and whose area is 50.
The perimeter of a rectangle is equal to 30.
RectanglesThe rectangle is a quadrilateral. The classification for quadrilaterals is given by the length of sides and angles. For a rectangle, the opposite sides are equal and parallel and their interior angles are equal to 90°.
A rectangle is a geometric figure that has 4 sides called: length and width (W). Due to its characteristics, the rectangle presents two length (L) and two widths (W).
The perimeter is the sum of all sides of a geometric figures. For a rectangle, the perimeter is 2L+2W.
The area for a rectangle is given by A=L*W.
The question gives:
length = 2*W width= W area= 50From the area, you can find the width, see below.
A=L*W
A=2W*W
50=2W²
25=W²
5=W
If W=5, from condition length = 2*W, you can find the length. See
L=2*W
L=2*5
L=10
Therefore, the perimeter will be:
P=2L+2W
P=2*10+2*5
P=20+10
P=30
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5x + 2y = 5 3x - y = 14 Which of the following equations is not a result of solving the system of equations by addition? 11x = 19 11x = 33 11y = -55
Answer:
11x = 19
Step-by-step explanation
5x + 2y = 5 and 3x - y = 14
5x + 2(3x -14) =5 and y = 3x -14
5x + 6x - 28 = 5 and y = 3x -14
11x = 33 and y = 3x -14
x = 3 and y = 3 x 3 -14 = -5
11x =19 <=> x = 11/19 (F)
11x = 33 <=> x= 3 (T)
11y = -55 <=> x= -5 (T)
For each of the following regular expressions, find a grammar that
is not regular and represents the
same language (even though the languages are regular):
a. +
b. +c
a) The regular expression "+" represents the language of one or more occurrences of the symbol "+". To construct a grammar that represents the same language but is not regular, we can use the following production rule:
S -> "+" S | "+".
This grammar generates strings with one or more "+" symbols.
b) The regular expression "+c" represents the language of one or more occurrences of the symbol "+" followed by the symbol "c". To construct a non-regular grammar for this language, we can use the following production rules:
S -> "+" S | "c".
This grammar generates strings with one or more "+" symbols followed by a "c". Since the language represented by the regular expression is regular, it can be recognized by a finite automaton. However, the grammar we constructed is not regular because it uses a recursive production rule.
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What is the solution to the equation 4/5x=3/10(x+4)?
Oz= -8
O x = 12
O infinitely many solutions
O no solution
Answer:
\(\frac{12}{5}\)
Step-by-step explanation:
4/5x=3/10(x+4) / · 10
8x=3(x+4)
8x=3x+12
8x-3x=12
5x=12 /:5
x=12/5
Need help asap need done today
Answer:
33 degrees
Step-by-step explanation:
This is a right angle, meaning that there is a 90 degree angle. If you know that there is a 57 degree part, then you just have to subtract now.
Since there are 90 degrees, you will subtract 57 from 90. As you subtract, you find that 33 is the difference. Now to check your work, add 33 to 57 to see if it is 90, your full angle.
-------------------------------------------------------------------------------------------------------------
90: Full angle
57: Known part
33: Second part (unknown part until solved.)
----------------------------------------------------------------------------------------------------------
90-57=33
33+57=90
----------------------------------------------------------------------------------------------------------
I hope this helps!
-No one
i need help its due tonight! Thank you so much to whoever helps!
⇒To check if the given point (2,-8) is the solution to the system you should have a general knowledge that 2 is the input that is represented by variable x and -8 is the output variable represented by letter y.
⇒Now to check if the point is a solution we will have to check for both cases ....y<x-1 and .....y>-x+2
x=2 and y=-8 in the system y< x-1
LHS=-8
RHS=(2)-1
RHS=1
-8<1
The result is true for the first inequality
for the second system inequality
x=2 and y=-8
LHS=-8
RHS=-(2)+2
RHS=-2+2
RHS=0
-8<0 but in the inequality it is saying that -8>0 which is not true but False
⇒As a conclusion point (2,-8) is not a solution to the system as it does not apply to both the conditions.
⇒The answer is no.
Please help! Math Class.
Data set: 10, 12, 12, 16, 24
Mean = 14.8
the sum of two numbers is 41 . the sum of 3 times the larger and 8 times the smaller is 203 . find the numbers.
Answer:
The numbers are 16 and 25
Refer to Table 9-8. Suppose that the data in the table above reflect the price levels in the economy. What is the inflation rate in between 2017 and 2018
The inflation rate between 2017 and 2018 is 2.86%.
What is the inflation rate?
Inflation rate is used to determine the rate at which the general price levels in an economy is increasing with the passage of time.
The inflation rate = (2018 CPI / 2017 CPI) - 1
(180 / 175) - 1 = 0.0286 = 2.86%
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let a1, a2, a3, ... be an infinite geometric series with a sum of 7. if the sum of the infinite geometric series a2, a4, a6, ... is 3, what is the value of a1?
The value of 'a1' is 0.
Let's denote the first term of the geometric series as 'a' and the common ratio as 'r'. The sum of an infinite geometric series can be calculated using the formula:
Sum = a / (1 - r)
We are given that the sum of the infinite geometric series a1, a2, a3, ... is 7. Therefore, we have:
7 = a / (1 - r) ---- (Equation 1)
Now, let's consider the sum of the infinite geometric series a2, a4, a6, ....
The first term of this series is a2 = ar, the second term is a4 = ar^3, the third term is a6 = ar^5, and so on.
The sum of this series can be calculated as:
Sum = (ar) / (1 - r^2)
We are given that the sum of this series is 3. Therefore, we have:
3 = (ar) / (1 - r^2) ---- (Equation 2)
Now, we can solve these two equations simultaneously to find the values of 'a' and 'r'.
From Equation 2, we can rewrite it as:
3(1 - r^2) = ar
Expanding and rearranging:
3 - 3r^2 = ar
3 = ar + 3r^2 ---- (Equation 3)
Now, substitute the value of 'ar' from Equation 3 into Equation 1:
7 = (ar) / (1 - r)
Multiplying both sides by (1 - r):
7(1 - r) = ar
Expanding:
7 - 7r = ar
7 = ar + 7r ---- (Equation 4)
Now, we have two equations (Equation 3 and Equation 4) with two variables ('a' and 'r'). We can solve these equations simultaneously.
Subtract Equation 4 from Equation 3:
3 = ar + 3r^2 - (ar + 7r)
3 = ar - ar + 3r^2 - 7r
3 = 3r^2 - 7r
Rearranging:
3r^2 - 7r - 3 = 0
This is a quadratic equation. We can solve it by factoring, completing the square, or using the quadratic formula. After solving the quadratic equation, we find two possible values for 'r': r = 1 or r = -3/2.
Now, we can substitute these values of 'r' back into Equation 4 to find the corresponding values of 'a'.
For r = 1:
7 = a(1) + 7(1)
7 = a + 7
a = 0
For r = -3/2:
7 = a(-3/2) + 7(-3/2)
7 = -3a/2 - 21/2
42 = -3a - 21
3a = -63
a = -21
Therefore, the two possible values for 'a' are 0 and -21.
However, since we are looking for the value of 'a1' (the first term of the geometric series), the value of 'a' should be positive. Thus, the value of 'a1' is 0.
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The slope of the tangent line to a curve is given by f'(x) = 4x² + 3x – 9. If the point (0,4) is on the curve, find an equation of the curve. f(x)=
The slope of the tangent line to a curve is given by f'(x) = 4x² + 3x – 9The equation of the curve is f(x) = (4/3)x³ + (3/2)x² - 9x + 4.
To find the equation of the curve, we need to integrate the given expression for f'(x). Integrating f'(x) will give us the original function f(x).
So, let's integrate f'(x) = 4x² + 3x – 9:
f(x) = ∫(4x² + 3x – 9) dx
f(x) = (4/3)x³ + (3/2)x² - 9x + C
where C is the constant of integration.
Now, we need to use the fact that the point (0,4) is on the curve to find the value of C.
Since (0,4) is on the curve, we can substitute x = 0 and f(x) = 4 into the equation we just found:
4 = (4/3)(0)³ + (3/2)(0)² - 9(0) + C
4 = C
So, the equation of the curve is:
f(x) = (4/3)x³ + (3/2)x² - 9x + 4
Answer:
The equation of the curve is f(x) = (4/3)x³ + (3/2)x² - 9x + 4.
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PLS HELP NEED ASAP
need help solving this equation idek what this means
Answer:
\(\frac{x+4}{3(x-1)}\)
Question\(x^2/x-1/3x^2/x+4\)
This can be written as a/b * d/c using the KCF method, which stands for keep, change, flip when dividing fractions. You keep the first fraction, change the sign from divide to multiply, and flip the last fraction.
For example:
4/5 / 6/7 =
4/5 * 7/6
28/30
14/15
\(\frac{x^2}{x-1} * \frac{x+4}{3x^2}\)
Next, multiply top and bottom to combine the fractions.
\(\frac{x^3+4x^2}{3x^3-3x^2}\)
Factor \(x^2\) out of \(x^3 + 4x^2\).
\(\frac{x^2(x+4)}{3x^3-3x^2}\)
Factor \(3x^2\) out of \(3x^3-3x^2\).
\(\frac{x^2(x+4)}{3x^2(x-1)}\)
Cancel out \(x^2\) from top and bottom.
\(\frac{x+4}{3(x-1)}\)
Mr. Nelson wants to put chicken wire around his chickn coup. He purchased 28.2 feet of chicken wire. The cost was $0.55 per foot. How much did Mr. Nelson pay for the chicken wire?
Find the coordinates of R if M(-4, 5) is the midpointof RS and S has coordinates (0, -10).
The general formula for midpoint is
\(x_m,y_m=\frac{x_1+x_2}{2},\text{ }\frac{y_1+y_2}{2}\)Here coordinates of midpoint M is
\(x_m,y_m=(-4,5)\)Coordinates of S is
\(x_2,y_2=\text{ }(0,-10)\)Substitute in midpoint formula
\(\begin{gathered} -4=\frac{x_1+0}{2} \\ -4\ast2=x_1 \\ x_1=-8 \\ \\ \\ coordinatey_1 \\ \\ 5=\frac{y_1+(-10)}{2} \\ 5\ast2=y_1-10 \\ 10=y_1-10 \\ y_1=10+10=20 \end{gathered}\)The coordinates of R is x1, y1=(-8,20)
At school, 588 students bought a school
shirt, and 147 students did not. What
percent of the students bought a school
shirt?
(7th grade math) PLZ HELP and show work
Answer:
80% bought a school shirt
Step-by-step explanation:
588+147=735. so 588/735 = 80%
Need help. How do I do this
9514 1404 393
Answer:
b
Step-by-step explanation:
Use the distance formula with the two points Q and P, then simplify and match the pattern of the answer.
\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(b-0)^2+(-c-(-a))^2}\\\\\boxed{d=\sqrt{b^2+(-c+a)^2}}\)
The value b goes in the green box.
can you solve this quick please.
Answer:
Non-graduatesGraduates: 35; Non-graduates: 30GraduatesStep-by-step explanation:
You want to compare various statistics related to Graduates and Non-graduates based on the given stem-and-leaf plot.
In the 40sThe number of responses in the 40s can be found by counting the leaves that have a stem of 4:
Graduates: 6
Non-graduates: 8
More Non-graduates had responses in the 40s.
RangeThe range for each group is found by subtracting the minimum value from the maximum:
Graduates: 56 -21 = 35
Non-graduates: 53 -23 = 30
MedianThe median of the group of 17 Graduates is the 9th element in the list, 41.
The median of the group of 18 Non-graduates is the average of the 9th and 10th elements in the list:
(39+40)/2 = 39.5 . . . . . . less than 41
Graduates had the greater median number of hours.
<95141404393>
OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help
Answer:
90 times 3 is 270
270- 71 ( the average grade you have now)= 199
the 2 more report card average grade has to add up to 199 for you to get a 90.
Water freezes at 0 degrees Celsius. A student discovered that adding half a cup of salt to a gallon of water lowers its freezing temperature by 7 degrees Celsius. What is the freezing temperature of the gallon of salt water?
Answer:
-7°C
Step-by-step explanation:
Freezing point of water = 0°C
By adding salt, freezing point lowers by 7°C ;
The freezing point of salt water can be expressed as ;
Since temperature lowers :
Freezing point of salt water :
Freezing point of water - 7°C
0°C - 7°C
= - 7°C
What are the factors of this quadratic function?
-6 -4 -2
VA
4
6
54
24
-2
4-
2
4
O A. (x-1) and (x - 5)
OB. (x+1) and (x + 5)
O C. (x-1) and (x+5)
OD. (x+1) and (x - 5)
6
+x
On solving the provided question, we can say that quadratic equation = x^2 - 3x - 4 ; factors = x-1 and x-5
What is quadratic equation?A quadratic equation is x ax2+bx+c=0, which is a quadratic polynomial in a single variable. a 0. The Fundamental Theorem of Algebra ensures that it has at least one solution since this polynomial is of second order. Solutions may be simple or complicated. An equation that is quadratic is a quadratic equation. This indicates that it has at least one word that has to be squared. The formula "ax2 + bx + c = 0" is one of the often used solutions for quadratic equations. where are numerical coefficients or constants a, b, and c. where the variable "X" is unidentified.
here, we have
quadratic equation = x^2 - 3x - 4
factors = x-1 and x-5
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68)1,904 division problem
Answer:. divide
Step-by-step explanation:
A heavy rope, 70 ft long and weighing 49 lbs, hangs over the edge of a building 100 ft high. How much work W is done in pulling the rope up 20 ft
The work done in pulling the rope up 20 ft is 101.43 ft-lbs.
To find the work done in pulling the rope up 20 ft, we need to first determine the initial potential energy of the rope before it is lifted up. We can do this using the formula:
Potential Energy = weight * height
where weight is the weight of the rope and height is the distance the rope is hanging from.
Given:
Length of the rope (L) = 70 ft
Weight of the rope (Wt) = 49 lbs
Height of the building (H) = 100 ft
Height to which the rope is lifted (h) = 20 ft
Using the Pythagorean theorem, we can find the distance (d) the rope is hanging from the building:
d^2 = H^2 + L^2
d^2 = 100^2 + 70^2
d^2 = 10000 + 4900
d^2 = 14900
d = \(\sqrt{14900}\)
d = 122.07 ft
Now we can find the initial potential energy of the rope:
Potential Energy = Wt * d
Potential Energy = 49 * 122.02
Potential Energy = 5981.43 ft-lbs
Next, we need to find the final potential energy of the rope after it is lifted up 20 ft. The height to which the rope is lifted is (H + h) = 100 + 20 = 120 ft. Using the same formula as before, we get:
Final Potential Energy = Wt * (H + h)
Final Potential Energy = 49 * 120
Final Potential Energy = 5880 ft-lbs
Finally, we can find the work done in lifting the rope up 20 ft:
Work Done = Initial Potential Energy - Final Potential Energy
Work Done = 5981.43 - 5880
Work Done = 101.43 ft-lbs
Therefore, the work done in pulling the rope up 20 ft is 101.43 ft-lbs.
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The Vehicle Assembly Building (VAB) at the Kennedy Space Center has a volume of: 3,666,500m3. What is it in liters?
Know: 1L=1dm3,1dm=0.1m
What do I need on top? Liters
What do I need on the bottom? nothing
3 ædmö3æ1Lö 9
3,666,500m =çè0.1m÷ø çè1dm3÷ø=3.6665x10 L
Homework 2: From the above question, what is it in km3?
The volume of the Vehicle Assembly Building (VAB) at the Kennedy Space Center is 3,666,500 liters.
To convert the volume from cubic meters to liters, we can utilize the conversion factor that 1 liter is equal to 1 cubic decimeter (dm^3). Additionally, we know that 1 dm is equal to 0.1 meter.
Given that the VAB volume is 3,666,500 m^3, we can convert it to liters as follows:
3,666,500 m^3 × (1 dm^3 / 1 m^3) × (1 L / 1 dm^3) = 3,666,500 × 1 × 1 = 3,666,500 liters.
Therefore, the volume of the Vehicle Assembly Building is 3,666,500 liters.
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PLEASE HELLP MEEE THIS IS THE LAST QUESTION
Answer:
40
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
it's going up by 3. jjjj
The radius of a circle is 9 ft. Find the circumference \textit{to the nearest tenth}to the nearest tenth.
Answer:
56.55 ft.
Step-by-step explanation:
Circumference
\(2\pi r\)
For this case:
r = 9
Thus:
\(2\pi(9) = 56.5486...\)
rounded to the nearest tenth we have
C = 56.55 ft.
The circumference of the circle will be C=56.55 ft.
What is circumference?
The circumference of the circle is the length of the curve traced out from the fixed point which is equidistant from the locus of the curve.
The is calculated as:-
C = 2 π r
For this case:
r = 9
Thus:
C= 2 x 3.14 x 9
rounded to the nearest tenth we have
C = 56.55 ft.
Hence the circumference of the circle will be C=56.55 ft.
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The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row. What is the maximum number of performers in each row so that all the rows are equal in length?
As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.
HCF:
The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).
Given,
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.
Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.
Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.
Here we have given that there are 30 instruments and 18 flag bearers.
Now, we need to find the prime factorization of 30,
That is,
30 = 2 x 3 x5
Similarly, the prime factorization of 18 is
18 = 2 x 3 x 3
Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be
=> 2 x 3 = 6.
Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.
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Answer:
As per the HCF concept, the maximum number of performers in each row so that all the rows are equal in length is 6.
HCF:
The highest common factor (HCF) of two numbers is the largest number that divides both numbers perfectly. It is also known as Greatest Common Divisor (GCD).
Given,
The marching band needs to create rows for its performance. There are 30 instruments and 18 flag bearers. Only one type of performer can be in each row.
Here we need to find the the maximum number of performers in each row so that all the rows are equal in length.
Here we simply put, the HCF (Highest Common Factor) of two natural numbers x and y is the largest number that divides both x and y.
Here we have given that there are 30 instruments and 18 flag bearers.
Now, we need to find the prime factorization of 30,
That is,
30 = 2 x 3 x5
Similarly, the prime factorization of 18 is
18 = 2 x 3 x 3
Therefore, the prime factorization of 30 and 18 have 2 and 3 as common prime number so HCF of 30 and 18 will be
=> 2 x 3 = 6.
Therefore, 6 is the maximum number of performers in each row so that all the rows are equal in length.
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Step-by-step explanation:
3. The slope of a line shows the___
for that line. This means it tells us how far ____ the line moves each time you move over one unit on the x-axis.
for that line.
The slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.
What is the slope of a line?The slope of a line can be defined a number that describes the direction and steepness of the line.
It is also known as gradient
It is denoted by the letter 'm'
Thus, the slope of a line shows the distance of that line. This means it tells us how far the line moves each time you move over one unit on the x-axis for that line.
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Michael had saved $257.40; he had deductions of $21.82 for dinner and $ 150.32 for clothes he purchased. After receiving his monthly allowance of $45, how much money does Michael have?
Answer:
130.26
Step-by-step explanation:
257.40-21.82-150.32=45=130.26