Answer:
.
Step-by-step explanation:
PLEASE HELPP
Which is an irrational number?
A
317, because it cannot be rewritten as an integer.
B
−6, because it is less than 0.
C
13−−√, because it cannot be expressed as either a terminating or a repeating decimal.
D
0.2971¯¯¯¯, because it is a repeating decimal.
A triangle ABC has coordinates for A (-4, 1).
Triangle A'B'C' has coordinates for A' (0-3)
What is the translation?
How many units right or left and how many units up or down?
Choose the best answer from the options below:
A
B
C
D
4 right, 4 down
4 left, 4 up
You have 1 hour to answer this question or you will be logged out.
4 left, 4 down
4 right, 4 up
The solution is Option A.
The coordinate of the triangle after the translation is given by A' ( 0 , -3 ) with 4 units right and 4 units down
What is Translation?A translation moves a shape up, down, or from side to side, but it has no effect on its appearance. A transformation is an example of translation. A transformation is a method of changing a shape's size or position. Every point in the shape is translated in the same direction by the same amount.
Given data ,
Let the coordinate of the triangle be represented as A
Now , the coordinate A = A ( -4 , 1 )
Now , the coordinate of the triangle after translation is A' ( 0 , -3 )
when there is a translation of the coordinate A by 4 units to the right , we get
A to 4 units right = A ( -4 + 4 , 1 )
The new coordinate of A = A ( 0 , 1 )
Now , A to 4 units down , we get
The coordinate of A' = A' ( 0 , 1 - 4 )
The coordinate of A' = A' ( 0 , -3 )
Hence , the translated coordinate is A' ( 0 , -3 )
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Pre calculus
Help me
Answer:
\(\displaystyle \frac{75}{2}\) or \(37.5\)
Step-by-step explanation:
We can answer this problem geometrically:
\(\displaystyle \int^6_{-4}f(x)\,dx=\int^1_{-4}f(x)\,dx+\int^3_1f(x)\,dx+\int^6_3f(x)\,dx\\\\\int^6_{-4}f(x)\,dx=(5*5)+\frac{1}{2}(2*5)+\frac{1}{2}(3*5)\\\\\int^6_{-4}f(x)\,dx=25+5+7.5\\\\\int^6_{-4}f(x)\,dx=37.5=\frac{75}{2}\)
Notice that we found the area of the rectangular region between -4 and 1, and then the two triangular areas from 1 to 3 and 3 to 6. We then found the sum of these areas to get the total area under the curve of f(x) from -4 to 6.
Answer:
\(\dfrac{75}{2}\)
Step-by-step explanation:
The value of a definite integral represents the area between the x-axis and the graph of the function you’re integrating between two limits.
\(\boxed{\begin{minipage}{8.5 cm}\underline{De\:\!finite integration}\\\\$\displaystyle \int^b_a f(x)\:\:\text{d}x$\\\\\\where $a$ is the lower limit and $b$ is the upper limit.\\\end{minipage}}\)
The given definite integral is:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x\)
This means we need to find the area between the x-axis and the function between the limits x = -4 and x = 6.
Notice that the function touches the x-axis at x = 3.
Therefore, we can separate the integral into two areas and add them together:
\(\displaystyle \int^6_{-4} f(x)\; \;\text{d}x=\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\)
The area between the x-axis and the function between the limits x = -4 and x = 3 is a trapezoid with bases of 5 and 7 units, and a height of 5 units.
The area between the x-axis and the function between the limits x = 3 and x = 6 is a triangle with base of 3 units and height of 5 units.
Using the formulas for the area of a trapezoid and the area of a triangle, the definite integral can be calculated as follows:
\(\begin{aligned}\displaystyle \int^6_{-4} f(x)\; \;\text{d}x & =\int^3_{-4} f(x)\; \;\text{d}x+\int^6_{3} f(x)\; \;\text{d}x\\\\& =\dfrac{1}{2}(5+7)(5)+\dfrac{1}{2}(3)(5)\\\\& =30+\dfrac{15}{2}\\\\& =\dfrac{75}{2}\end{aligned}\)
what is 10 + 8x = 10003
Answer:
Step-by-step explanation:
10 + 8x =10003
8x = 10003 - 10
8x = 9993
X = 9993 ÷ 9
Step-by-step explanation:
Rearrange = 10 + 8 x =10003
8x + 10 = 10003
subtract both= 8x + 10 = 10003
8x + 10 -10= 10003-10
simplify= subtract the number 8x = 999
Divide the both number = 8x = 9993
8x/8 =993/8
And them simplify it again = x = 9993/8
What’s is the difference of 9.37 and 1.6
Answer:
7.77
Step-by-step explanation:
9.37 - 1.60 = Difference
Difference = 7.77
PLS HELP ME WITH THIS
you need to use the y=mx+b
Hello!
What is a slope-intercept line:
\(y = mx + b\)
m: slope\(slope = \dfrac{y_2-y_1}{x_2-x_1} =\frac{-4--2}{3-0} =-\dfrac{2}{3}\)
y-intercept or point whose x-coordinate is '0'==> value of y-intercept is '-2'
Thus the equation is \(y=-\dfrac{2}{3}x-2\)
Hope that helps!
Answer: y=-2/3x-2
Step-by-step explanation:
1) Draw a triangle from one point to the next point.
For this example, I will use (-3,0) and (0,-2).
You can see that the number goes down 2 and right 3. From this, you can conclude that the rate is -2/3 using the equation rise/run.
2) Find the y-intercept
Looking at the graph, you can find that the y-intercept is (0,-2).
3) Fill in the y=mx+b
y=-2/3x-2
write an equation of the line that passes through the points (0,-2),(3,13)
Answer: y = 5x-2
Step-by-step explanation:
2x-1=y
3x-1=y
Consider the system of equations above. Which of the following statements about this system is true?
Answer:
B; There is only one (x,y) solution and y is negative
Step-by-step explanation:
First, I graphed the two equations. Attached is an image of the equations graphed. Next, I looked for overlapping points. Wherever the two points overlap, there is a solution. When looking at the graph, we can see the lines overlap at only one point, (0,-1). Since y is negative, the answer must be B; there is only one (x,y) solution and y is negative.
If this answer helped you, please leave a thanks!
Have a GREAT day!!!
Having designed a binary adder, you are now ready to design a 2-bit by 2-bit unsigned binary multiplier. The multiplier takes two 2-bit inputs A[1:0] and B[1:0] and produces an output Y which is the product of A[1:0] and B [ 1:0]. The standard notation for this is: Y = A[1:0] B[1:0] What is the maximum value that can be represented in 2 bits for A(A[1:0])? What is the maximum value that can be represented in 2 bits for Z?(B[1:0])? What is the maximum possible value of Y? What is the number of required bits to represent the maximum value of Y? Write a truth table for the multiplier described above. You will have a four-input truth table with the inputs being A[l], A[0], B[l], and B{0}. Implement the third bit of output, Y[2] from the truth table using only AND, OR, and NOT gates.
The third bit of output, Y[2], can be implemented using AND, OR, and NOT gates to calculate the sum of the product of the first bits of both inputs, A[1] and B[1], plus the product of the second bits of both inputs, A[0] and B[0].
The maximum value that can be represented in 2 bits for A(A[1:0]) is 3, and the maximum value that can be represented in 2 bits for B[1:0] is also 3. The maximum possible value of Y is 9, which requires 4 bits to represent. The truth table for the multiplier is shown below:
A[1] A[0] B[1] B[0] Y[3] Y[2] Y[1] Y[0]
0 0 0 0 0 0 0 0
0 0 0 1 0 0 0 1
0 0 1 0 0 0 1 0
0 0 1 1 0 0 1 1
0 1 0 0 0 0 0 0
0 1 0 1 0 0 0 1
0 1 1 0 0 0 1 0
0 1 1 1 0 0 1 1
1 0 0 0 0 0 0 0
1 0 0 1 0 0 0 1
1 0 1 0 0 0 1 0
1 0 1 1 0 0 1 1
1 1 0 0 0 1 0 0
1 1 0 1 0 1 0 1
1 1 1 0 0 1 1 0
1 1 1 1 1 1 1 1
The third bit of output, Y[2], can be implemented using AND, OR, and NOT gates as follows:
Y[2] = A[1] * B[1] + (A[1] + B[1]) * (A[0] * B[0])
This can be simplified to Y[2] = A[1] * B[1] + A[0] * B[0]. That is, the third bit of output Y[2] is equal to the product of the first bits of both inputs, A[1] and B[1], plus the product of the second bits of both inputs, A[0] and B[0].
The third bit of output, Y[2], can be implemented using AND, OR, and NOT gates to calculate the sum of the product of the first bits of both inputs, A[1] and B[1], plus the product of the second bits of both inputs, A[0] and B[0].
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6
3
3
C
C
6
6
C
C
3
3
6
Solve for c.
= √ [?]
C =
Enter the number
that goes beneath
the radical symbol.
Answer:
10
Step-by-step explanation:
PLEASE HELP find distance between points
Step-by-step explanation:
To find the distance between two points, we have to use the distance formula:
\(d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
Let's solve for line PQ first. We plug in the points into the formula and solve from there.
P: (-5, 1)
Q: (-2, -5)
\(PQ=\sqrt{(-2+5)^2+(-5-1)^2 }\)
\(PQ=\sqrt{(3)^2+(-6)^2 }\)
\(PQ=\sqrt{9+36}\)
\(PQ=\sqrt{45}\)
\(PQ=3\sqrt{5}\)
Now, let's solve line ML.
M: (5, 3)
L: (2, -3)
\(ML=\sqrt{(2-5)^2+(-3-3)^2 }\)
\(ML=\sqrt{(-3)^2+(-6)^2}\)
\(ML=\sqrt{9+36}\)
\(ML=\sqrt{45}\)
\(ML=3\sqrt{5}\)
Answer: 3√5, 3√5, yes, they are congruent.
Given a unit circle, what is the
negative value of y having an
x-coordinate
of 0?
Explanation:
The equation of the unit circle is
x^2 + y^2 = 1
It has a center of (0,0) aka the origin. This circle has a radius of 1 (hence the "unit" in "unit circle")
Plug in x = 0 and solve for y to get the following:
0^2 + y^2 = 1
y^2 = 1
y = sqrt(1) or y = -sqrt(1) .... don't forget about the plus/minus
y = 1 or y = -1 is the y coordinate we're after
The point in question is located at (0,-1)
Given a unit circle, -1 is the negative value of y having an x-coordinate of 0. A unit circle is a circle with a radius of 1, centered at the origin (0, 0) of Cartesian coordinate system.
- The x-coordinate of a point on the unit circle represents the cosine of the angle formed between the positive x-axis and the line connecting the origin to that point.
- The y-coordinate of a point on the unit circle represents the sine of the same angle.
Now, let's break down the statement:
1. "Given a unit circle": This sets the context that we are dealing with a unit circle, which means the radius of the circle is 1.
2. "-1 is the negative value of y": This part is referring to a specific point on the unit circle. When you move downward from the center of the unit circle (the origin) to the edge of the circle along the y-axis, you encounter a point where the y-coordinate is -1. This point is often denoted as (0, -1) because it has an x-coordinate of 0 (meaning it lies on the y-axis) and a y-coordinate of -1.
3. "having an x-coordinate of 0": This clarifies the location of the point further. The x-coordinate of this point is indeed 0 because it lies directly on the y-axis.
So, in summary, the statement is describing the specific point (0, -1) on the unit circle. This point is significant in trigonometry because it corresponds to an angle of 270 degrees (or -90 degrees) or π/2 radians, and it's where the sine function reaches its minimum value of -1.
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The sun is about 93 x 10 6 miles from earth. What’s is this distance written as a whole number
This distance would be written as a whole number as 93,000,000.
Please help me with this
The volume of rectangular prism is 90 unit³.
We can consider the 1 block = 1 unit.
Length of prism = 5 unit
width of prism = 6 unit
Height of prism = 3 unit
So, Volume of rectangular prism
= l w h
= 5 x 6 x 3
= 90 unit³
Thus, the volume of rectangular prism is 90 unit³.
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Directions: Find the distance between each pair of points.
1. (-4, 6) and (3-7)
2. 4-6,-5) and (2.0)
3.
3. (-1.4) and (1,-1)
4. 10.-8) and (3,
Answer:
1.
\(6units\)
2.not sure about the coordinates
\(3. \sqrt{29} \)
4.the coordinates are not complete.
what is 6 5/8 + 4 3/4 in simplest terms
Answer: To find the sum of 6 5/8 and 4 3/4, you need to express the two fractions with a common denominator. One way to do this is to express both fractions with a denominator of 8. To express 6 5/8 with a denominator of 8, you can rewrite it as 6 + 5/8, and to express 4 3/4 with a denominator of 8, you can rewrite it as 4 + 3/4. When you add these two fractions, you get:
6 + 5/8 + 4 + 3/4
= 10 + 8/8
= 10 + 1
= 11 1/8
So the sum of 6 5/8 and 4 3/4 is 11 1/8. This fraction is already in simplest form, since the numerator and denominator are relatively prime (i.e., have no common factors other than 1).
Answer:
\(\frac{91}{8}\)
Step-by-step explanation:
so your question is given in mixed number
\(6\frac{5}{8} + 4\frac{3}{4}\)
now simply multiply 6 with denominator and then add 5 to it . In denominator keep 8 as it is.Follow the same process for another term as well.
= \(\frac{6*8+5}{8}\) +\(\frac{4*4+3}{4}\)
=\(\frac{53}{8}\) + \(\frac{19}{4}\)
now take LCM
=\(\frac{53*1 +19*2}{8}\)
=\(\frac{53+38}{8}\)
=\(\frac{91}{8}\)
After this if it any cancelation can be done then do cancel in denominator and numerator but here we cannot cancel so your final answer is \(\frac{91}{8}\)
What expression is equivalent x^-8
Answer:
\(x^-^8 = y^-^8\)
Step-by-step explanation:
Any variable is equivalent to x^-8.
hope this helps.
If 21% of a number is 27, find 7% of that number.
For the 21% of a number is 27, the value of 7% of that number is 7.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
⇒ 21% of a number is 27
Let a number is = x
So, We can formulate;
⇒ 27% of x = 27
Solve for x as;
⇒ 27/100 × x = 27
⇒ 27x = 27 × 100
⇒ 27x = 2,700
⇒ x = 2,700 / 27
⇒ x = 100
So, 7% of 100 is,
⇒ 7% of 100
⇒ 7/100 × 100
⇒ 7
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Can someone help me solve this? Thanks!
9514 1404 393
Answer:
p(x) = x³ -3x²+4x -2
Step-by-step explanation:
When the polynomial has real coefficients, the complex roots come in conjugate pairs. You are given one root as 1+i, so there is another that is 1-i.
Each root r gives rise to a factor (x -r). Then the three roots tell you the factorization is ...
p(x) = (x -1)(x -(1+i))(x -(1-i))
The last two factors can be recognized as the factors of the difference of squares:
((x -1) +i)((x -1) -i) = (x -1)² -i²
= (x² -2x +1) -(-1) = x² -2x +2
Now the whole polynomial can be seen to be ...
p(x) = (x -1)(x² -2x +2) = x(x² -2x +2) -1(x² -2x +2)
p(x) = x³ -2x² +2x -x² +2x -2 . . . . eliminate parentheses
p(x) = x³ -3x²+4x -2
Which ordered pair solves this linear system?
Y= -x
Y= 2x
The ordered pair that solves the system of equation is (0, 0).
To solve this system, we can substitute the first equation into the second equation to eliminate y:
x = 2x
Solving for x, we get x = 0.
Substituting x = 0 into the first equation, we get y = 0.
Therefore, the ordered pair that solves the system is (0, 0).
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PRACTICE IT Use the worked example above to help you solve this problem. parallel-plate capacitor has an area A = 2.50 X 10 m2 and plate separation d 1.40 * 10- m. (a) Find its capacitance_ 1.58e-12 (b) How much charge is on the positive plate if the capacitor Is connected to 3.00 battery? 12000 Your response differs significantly from the correct answer: Rework vour solution from the beginning and check each step carefully: € (c) Calculate the charge density on the positive plate, assuming the density is uniform: Clm (d) Calculate the magnitude of the electric field between the plates. 3.92 Your response differs significantly from the correct answer: Rework vour solution from the beginning and check each step carefully: Vlm
The capacitance is \(1.58*10^{-12} F\), the charge is 12000 e, the charge density is \(4.80*10^{7} C/m^{2}\), and the electric field is \(3.92*10^{6} N/C\).
Here's how you can solve the above problems:
(a) To find the capacitance of a parallel-plate capacitor, we use the formula:
C = ε0A/d
where ε0 is the vacuum permittivity constant \((8.85*10^{-12}F/m )\), A is the area of the plates, and d is the distance between the plates. Substituting the given values, we get:
C =\((8.85 * 10^{-12} F/m) (2.50* 10^{-4}m^{2} )/(1.40*10^{-7}m )\)
= \(1.58*10^{-12} F\)
(b) To find the amount of charge on the positive plate of the capacitor, we use the formula:
Q = CV
where Q is the charge, C is the capacitance, and V is the voltage across the capacitor. Substituting the values from (a) and the given voltage, we get:
Q = \((1.58*10^{-12}F )(3.00 V)\)
= \(4.74*10^{-11} C\)
= 12000 e
(c) To find the charge density on the positive plate, assuming the density is uniform, we divide the charge on the plate by the area of the plate:
ρ = Q/A = \((12000e)/(2.50*10^{-4}m^{2} )\)
= \(4.80*10^{7} C/m^{2}\)
(d) To find the magnitude of the electric field between the plates, we use the formula:
E = V/d
where E is the electric field, V is the voltage across the capacitor, and d is the distance between the plates. Substituting the given values, we get:
E = \((3.00 V)/(1.40*10^{-7}m )\)
= \(2.14*10^{-7} V/m\)
= \(3.92*10^{6} N/C\)
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distance between points on a coordinate plane=(y2−y1)2+(x2−x1)2−−−−−−−−−−−−−−−−−−√
Find the distance when y2=9, y1=13, x2=4,
and x1=0
.
A. 5.66
B. 5.36
C. 4.12
D. 6.95
The distance between the two points is approximately 5.66 units
A. 5.66How to find the distanceUsing the formula for the distance between two points on a coordinate plane:
Distance = √[(y2 - y1)^2 + (x2 - x1)^2]
We can plug in the given values into the distance formula:
given that
y2 = 9, y1 = 13, x2 = 4, and x1 = 0
= √[(9 - 13)^2 + (4 - 0)^2]
= √[(-4)^2 + (4)^2]
= √(16 + 16)
= √32
= 4√2
= 5.6569
= 5.66
Therefore, the distance between the two points is approximately 5.66 units, which corresponds to option A.
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In the figure below, A ABC has an area of
20 square units. What is the height, h,
of the triangle?
A
A
h
2½ units
B 4 units
C
C 4 units
D 5 units
E 10 units
8
B
The height of triangle A ABC is 4 units.
What is the triangle's height, h?
This can be determined by using the formula for the area of a triangle, which is A = ½bh, where b is the base and h is the height.Since the area of the triangle is given as 20 square units, we can solve for h.By substituting A = 20 and b = 8 into the formula for the area of a triangle, we get 20 = ½(8)h, which simplifies to h = 4.Therefore, the height of the triangle is 4 units.The figure in the question is a right triangle, meaning it has one angle that is 90 degrees. The area of the triangle can be found using the formula A = 1/2bh, where b is the base and h is the height of the triangle.In this case, the area is 20 square units, and the base is 4 units, so the height of the triangle is 2.5 units. This is the answer to the question.The height of triangle A ABC is 4 units.To learn more about the area of a triangle refer to:
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The policy of the Kauderman's pawnshop is to lend up to 30% of the value of borrower's collateral. Tommy wants to use a pair of $500 Jeans and $1,000 sunglasses as collateral for a loan. What is the maximum amount that he could borrow from Kauderman?
Answer:
30/100×$1500 = $450
Step-by-step explanation:
Tommy needs total capital of $1500 and he wants to lend 30% of loan from kaunderman, which is calculated as above.
1.
7844
A
27
B
26.4
2.
1900
C.
29.1
3.
1650
D.
28,4
4
1784
E
28
F.
26.1
5,
1699
G
25.5
6.
V805
H
30
7
1729
Answer:
gebiz hadi bir ben kusura siz
Step-by-step explanation:
sneidmd
Which graph represents 9(x - 5) = -15y
The slope of the negative and the y-intercept is 3. Then the equation of line y = -(3/5)x + 3 on the graph is represented by A.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The equation is given below.
9(x - 5) = -15y
Separate the variable 'y', then we have
9(x - 5) = -15y
15y = -9x + 45
y = -(3/5)x + 3
The slope of the negative and the y-intercept is 3. Then the equation of line y = -(3/5)x + 3 on the graph is represented by A.
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Point A' is the image of point A under a rotation about the origin, (0,0).
y
1
7
6
A.
5
4
3-
2
1-
-7-6-5-4-3-2
2 3 4 5 6 7
-2
-3
-4
-5
-6
-7-
Answer: it’s 180 degrees
Step-by-step explanation: answered on khan academy
Hi I need help pls
Due in 10 mins
Step-by-step explanation:
I'm sorry
i dont know this particular question
Need help with theses plz
Answer:
7. x=19 2x=38
8.x=23 3x=69
9.x=12 (50-2)/4=12
10.x=15 (31-1)/2
11.x=16 (84-4)/5
12.x=27 (55-1)/2
Step-by-step explanation:
if 2 angles are opposite, it's the same
Solve the inequity -3y + 80 > 110
Answer: y<-10
Step-by-step explanation:
i hope this help :)
Answer:
y<-10
Step-by-step explanation:
-3y+80>110
-80 -80
-3y>30
-y>10
y<-10 (when deviding by a negative, > switches to <)