Answer:
23
Step-by-step explanation:
Describe the translation of figure ABCD. Complete the sentence to explain your answer. A coordinate plane showing figure A B C D and A prime B prime C prime D prime. The coordinates of the first figure are A 2 comma 3, B 1 comma 2, C 2 comma 1, and D 3 comma 2. The coordinates of the second figure are A prime 5 comma 4, B prime 4 comma 3, C prime 5 comma 2, and D prime 6 comma 3. Figure ABCD is translated unit(s) right and unit(s) up.
The translation of figure ABCD involves moving it to a new location while preserving its original shape and size.
The translation of figure ABCD involves moving it a certain distance in a particular direction without changing its size or shape. In this case, we can see that the original figure has coordinates A (2,3), B (1,2), C (2,1), and D (3,2).
The translated figure, on the other hand, has coordinates A' (5,4), B' (4,3), C' (5,2), and D' (6,3). By comparing these coordinates, we can see that the figure has been translated 3 units to the right and 1 unit up.
This means that each point has moved 3 units to the right and 1 unit up from its original position. The direction and distance of the translation can be determined by subtracting the coordinates of each point in the original figure from the corresponding coordinates in the translated figure.
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What is the answer pleaseee
Answer: 803.84cm3
Step-by-step explanation:
The formula for finding the volume of a cylinder is πr2h.
In other words, the area of the top face's circle times the height.
To find the circle's area, we first find the radius of the circle. Since the diameter is 8cm, we divide by 2 to get the radius, which is 4cm.
4cm squared is 4cm x 4cm, which is 16cm. 16cm times 3.14 is 50.24cm squared.
Now, we have the area of the circle. 50.24cm squared!
The height is 16cm, so to find the cylinder, we times the area of the circle by the height of the cylinder! So,
16cm x 50.24cm squared = 803.84cm cubed.
The volume of the can of soup is 803.84cm cubed.
Can you please help me out with this I’m stuck
Given
Find
the value of x
Explanation
given m is parallel to n.
so, these are corresponding angles.
hence
\(\begin{gathered} 4x-23=2x+17 \\ 2x=17+23 \\ 2x=40 \\ x=20 \end{gathered}\)so, x = 20
Final Answer
The value of x is 20
5.3 MATHEMATICS HOLIDAY PACKAGE-TERM 2(2023) Instructions: Attempt ALL items 1. Your family has seven siblings; peter, John, Sarah, Joy, Ali, Mary and Ivan. There is an interval of 2 years between the ages of the children from Ivan to peter. Ivan is three years old. Task: Using an arrow diagram, explain the information about your family.
riangle NMO is drawn with vertices N(−5, 2), M(−2, 1), O(−3 , 3). Determine the image vertices of N′M′O′ if the preimage is reflected over x = −2.
N′(5, −2), M′(2, 1), O′(3, 3)
N′(−2, 2), M′(1, 1), O′(0, 3)
N′(1, 2), M′(−2, 1), O′(−1, 3)
N′(−5, −2), M′(−2, −1), O′(−3, −3)
The vertices after transformation are N′(1, 2), M′(−2, 1), O′(−1, 3).
We have,
N(−5, 2), M(−2, 1), O(−3 , 3).
We know the rule to reflect over a vertical line x =a is
(x, y) --> (-x-2a, y)
So, for x=2 the rule will be
(x, y) --> (-x-4, y)
Now, the vertices after transformation are
M(-2, 1) -> M'(-2, 1)
N(-5, 2) -> N'(1, 2)
O(-3, 3) -> O'(-1, 3)
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The instructor noted the following scores on the last quiz of the semester for 8 students. Find the range of this data set 59,61,83,67,81,80,81,100
answer: the range is 41.
to find the range of this data set, we first need to find the minimum and maximum values - which are 59 and 100.
then we subtract the minimum from the maximum.
59 - 100 = 41.
MAX POINTS
WILL GIVE BRANLIEST PLEASE HELP
h(x)=3/x-h +k
Oh no! He seems to be missing some parts though. He was "robbed" of his
asymptotes.
Luckily, he can remember what they were:
1. This functions vertical asymptote was x=-5.
2. This functions horizontal asymptote was y = 12.
Please recreate this function with those identifying features! Please make sure it
looks like the function in the picture
Let's do
\(\\ \rm\dashrightarrow y=\dfrac{3}{x-h}+k\)
Release k for some while
If
we take h=0So
y=3/xSo vertical asymptote is at origin now
It mentioned that it's at x=-5 so we need to change x
put -5 in place of h\(\\ \rm\dashrightarrow y=\dfrac{3}{x-(-5)}\)
\(\\ \rm\dashrightarrow y=\dfrac{3}{x+5}\)
Vertical asymptote at x=-5Now
for k=0 horizontal asymptote at originBut it's given
y is at 12Same put y=12 in place of k
\(\\ \rm\dashrightarrow y=\dfrac{3}{x+5}+12\)
h=-5k=12Graph attached for verification
Answer:
h(x)=3/x+5 +12
Step-by-step explanation:
what is the approximate solution of the linear system represented by the graph below
The approximate solution of the linear system represented by the graph is, (5, 6)
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
A graph in which two lines are intersecting each other,
basically solution of linear system means where both the lines will intersect,
So, in the graph it can be seen that lines are intersecting around x coordinate 5 and y coordinate 6,
Therefore, the solution is (5, 6)
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Find the volume of this problem
A tank in the shape of a hemisphere has a diameter of 24 feet. If the liquid that fills the tank has a density of 92.5 pounds per cubic foot, what is the total weight of the liquid in the tank, to the nearest full pound?
The total weight of the liquid in the tank is approximately 12,628 pounds.
To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.
In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.
Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.
In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.
By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.
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The rear windshield wiper of a car rotated 120 degrees,as shown. Find the area cleared by the wiper. 25inch,120 degrees, 14inch
The rear windshield wiper of a car rotated 120 degrees, as shown in the figure. The area cleared by the wiper blade is approximately 205.875 square inches.
The problem states that a car’s rear windshield wiper rotates 120 degrees, as shown in the figure. Our aim is to find the area cleared by the wiper.
The wiper's arm is represented by a line segment and has a length of 14 inches.
The wiper's blade is perpendicular to the arm and has a length of 25 inches.
Angular degree measure indicates how far around a central point an object has traveled, relative to a complete circle. A full circle is 360 degrees, and 120 degrees is a third of that.
As a result, the area cleared by the wiper blade is the sector of a circle with radius 25 inches and central angle 120 degrees.
The formula for calculating the area of a sector of a circle is: A = (θ/360)πr², where A is the area of the sector, θ is the central angle of the sector, π is the mathematical constant pi (3.14), and r is the radius of the circle.
In this situation, the sector's central angle θ is 120 degrees, the radius r is 25 inches, and π is a constant of 3.14.A = (120/360) x 3.14 x 25²= 0.33 x 3.14 x 625= 205.875 square inches, rounded to the nearest thousandth.
Therefore, the area cleared by the wiper blade is approximately 205.875 square inches.
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Explain 5 different ways you use Math in your everyday life.
Answer:
Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.
Step-by-step explanation:
Answer:
1. you use it to calculate time (managing your day)
2. you use it while driving (use in angles and degrees)
3. you use it while drawing (again, use in angles and degrees)
4. you use it while cooking
5. you use it while banking (financial help)
Step-by-step explanation:
hope this helps:) please mark brainliest
Write the equation of the line that goes through the points A(3,-2) and B(5,4)
Answer:
y = 3x - 11
Step-by-step explanation:
(3, -2) and (5, 4)
m = 4+2/5-3
m = 6/2
m = 3
y = 3x + b
4 = 3(5) + b
4 = 15 + b
b = -11
y = 3x - 11
In a math class with 28 students, a test was given the same day that an assignment was due. There were 18 students who passed the test and 19 students who completed the assignment. There were 15 students who passed the test and also completed the assignment. What is the probability that a student passed the test given that they completed the homework
Answer:
0.789 to 1 or 78.9 percent chance
Step-by-step explanation:
15 did the homework and passed
19 did the homework
therefore, only 4 people who completed the homework and failed the test.
so, 15/19= 0.789, or 78.9 percent. or a 0.789 to one chance
cone a is 10 centimeters high and its base has a diameter of 4 centimeters. Cone B is twice as tall with a hight of 20 centimeters and a diameter of 4 centimeters. Cone C is the same height as cone A, 10 centimeters, but the diameter of its base is 8 centimeters. Which cone has the greatest volume?
The cone that has the greatest volume is cone C
How to determine the cone that has the greatest volume?The given parameters in the question are
Cone A
Height = 10 cm
Diameter = 4 cm
Cone B
Height = 20 cm
Diameter = 4 cm
Cone C
Height = 10 cm
Diameter = 8 cm
The volume of a cone can be calculated using the following volume equation
Volume of a cone = 1/3π(d/2)²h
Where
h = height of the cone
r = radius of the cone
d = diameter of the cone
Using the above equations, we have the following computations
Volume of a cone A = 1/3π * (4/2)² * 10
Volume of a cone A = 40/3π
Volume of a cone B = 1/3π * (4/2)² * 20
Volume of a cone B = 80/3π
Volume of a cone C = 1/3π * (8/2)² * 10
Volume of a cone C = 160/3π
We can see that 160/3π is greater than 40/3π and 80/3π
Hence, cone C has the highest volume
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How much would you have to deposit today to accumulate the SAME AMOUNT OF MONEY that $75 monthly payments at a rate of 3.5% compounding monthly for 10 years in an annuity would earn?
Answer:
7606.62
Step-by-step explanation:
Start by finding how much you will have through the annuity. The question isn't that clear, so i will just assume it's an annuity due.
\(p(\frac{(1+i)^n-1}{i})*(1+i)\\i=.035/12= .0029166667\\n=10*12=120\\p=75 (given)\\75\frac{(1+.0029166667)^{120}-1}{.0029166667}*(1+.0029166667)= 10788.814149\\\)
Now just equate this to a time 0 payment at the same rate
\(10788.814149=(1+.0029166667)^{120}*x\\x= 7606.6228603=7606.62\)
As a quick note, if you were supposed to assume that your annuity was an annuity immediate the answer would be 7584.50.
Your mother is out of toothpicks, and suggests you use cotton swabs instead. You measure them, and they are 7.5 cm tall. How many cotton swabs tall will your model be? If necessary, round your answer to the nearest whole number.
Answer:
6.3 *30= 189; so 4 cotton swabs
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The linear function f(x) = 0.5x + 80 represents the average test score in your math class, where x is the number of the test taken. The linear function g(x) represents the average test score in your science class, where x is the number of the test taken.
x g(x)
1 81
2 83
3 85
Part A: Determine the test average for your math class after completing test 2. (2 points)
Part B: Determine the test average for your science class after the completing test 2. (2 points)
Part C: Which class had a higher average after completing test 4? Show work to support your answer. (6 points)
Table
\(\boxed{\begin{array}{c|c}\boxed{\bf x} &\boxed{\bf g(x)} \\ \sf 1&\sf 81 \\ \sf 2&\sf 83 \\ \sf 3&\sf 85\\ \sf 4 &\sf 87(Expected)\end{array}}\)
\(\boxed{\begin{array}{c|c}\boxed{\bf x} &\boxed{\bf f(x)} \\ \sf 1&\sf 80.5 \\ \sf 2&\sf 81 \\ \sf 3&\sf 81.5 \\ \sf 4&\sf 82\end{array}}\)
Now
#Part A:-
Test average for completing test 2 in maths=81
#Part-B
Test average for completing test 2in science=83
#Part C.
CLASS B HAS HIGHER AVERAGEPlease help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
In a group of 1,100 youths, each uses smart phones, either I-phone or Samsung or both or neither, 150 of them use only I-phone, 770 of them use Samsung and 900 use only one of these two smart phones. (1) Find the number of youths who use both of these smart phones. (ii) Find the number of youths who use neither of these smart phones.
The requried, 20 youths use both iPhone and Samsung, and 200 youths use neither iPhone nor Samsung.
Let A be the set of youths using only iPhones, B be the set of youths using only Samsung, and C be the set of youths using both. Then, we have:
|A| = 150
|B| = 770
|A ∪ B| = 900
We want to find |C| and |A ∩ B| (which is the number of youths using both).
Using the inclusion-exclusion principle, we have:
|A ∪ B| = |A| + |B| - |A ∩ B|
900 = 150 + 770 - |A ∩ B|
|A ∩ B| = 20
So, 20 youths use both iPhone and Samsung.
To find the number of youths who use neither, we can use the fact that:
|A ∪ B ∪ C| = 1100
|A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
Plugging in the values we know, we get:
1100 = 150 + 770 + |C| - 20 - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C|
|C| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 200
Since the number of youths using both is 20, we have:
|A ∩ C| = |B ∩ C| = |A ∩ B ∩ C| = 0
So, we can simplify the equation to:
|C| = 200
Therefore, 200 youths use neither iPhone nor Samsung.
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Need help please and thank you
Hey!
For any graphing calculator problems I would recommend using desmos if your teacher allows it or getting a graphing calculator such as a ti-nspire :)
This way, it will be able to graph and get the answers quicker!
The answers to this question is (37.5,15) and (0,60). To find your answers when you graph always look for where the lines intersect. If the lines do not intersect then it is not one of your answer choices. (examples are below).
what type of accociation would you expect in this a persons age and number of pets the have
Answer:
if they have less pets they are probably young and aren't responsible to take care and if they have alot of old they are probably old
A professor of philosophy hypothesizes that an introductory course in logic will affect college students with their other studies. To test this hypothesis, a random sample of 25 first year students is selected. These students are required to complete a logic course during their first year. At the time of graduation, the final GPA is computed or each of these students. The mean GPA for this sample is 2.58 with a SS of 6.
Required:
Can the professor conclude that the grades for the sample were significantly different from the rest of the graduating class, which had an average GPA of 2.33?
Answer:
NO.
Step-by-step explanation:
The Professor's hypothesis:
An introductory course in Logic will affect college students with their other studies (will affect their Great Point Average - GPA).
25 students are used as the experimental group while the rest of the class are the control group.
The mean GPA in a sample size (SS) of 6 is = 2.58
The mean GPA in the full sample size of 25 would be = 10.75 by crossmultiplying.
This makes me believe the question was written wrongly. I assume SD (standard deviation) of 0.6 instead of SS (sample size) of 6.
Going by this, if standard deviation is 0.6 then the interval within which the GPA of the experimental group (the 25 students) falls is:
[2.58 - 0.6] to [2.58 + 0.6]
= 1.98 to 3.18
The rest of the graduating class (the control group) had a mean GPA of 2.33
Can the professor conclude that the GPA for the sample is significantly different from that of the control group?
The answer is NO because the GPA of the control group falls within the GPA interval of the experimental group!
Find the value of x that makes the quadrilateral a parallelogram.
Please help
Answer:
x = 2/3
Step-by-step explanation:
Since it's a parallelogram, the bisected parts of the diagonal must be equal
So 6x must equal 3x + 2:
6x = 3x + 23x = 2x = 2/3-Chetan K
Which of the following could be the lengths of the three sides of a triangle?
A.1 cm, 2 cm, 3 cm
B.3 in., 3 in., 7 in.
C.4 ft, 8 ft, 12 ft
D.5 cm, 7 cm, 9 cm
its b
Step-by-step explanation:
cuz to sides are the exact same then one side is bigger than the others :)
14. y = -(x - 2)² + 1 graphed
Two-variable linear equations have a line as their graph, which is why they are referred to as linear equations. Plotting (x1,y1) and (x2,y2), then creating a line that connects the two.
How do you draw a graph ?\($\frac{d}{d x}\left(-(x-2)^2+1\right)$\)
Domain of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & -\infty < x < \infty \\ \text { Interval Notation: } & (-\infty, \infty)\end{array}\right]$\)
Range of \($-(x-2)^2+1:\left[\begin{array}{cc}\text { Solution: } & f(x) \leq 1 \\ \text { Interval Notation: } & (-\infty, 1]\end{array}\right]$\)
Interception zones on the axis \($-(x-2)^2+1: \quad X$\) Intercepts: \($(3,0),(1,0), Y$\)Intercepts: (0,-3) .
Vertex of \($-(x-2)^2+1: \quad$\) Maximum (2,1) .
The graph of the equation y=2x+1 shows a straight line, or it is a linear equation. When the value of x rises, eventually the value of y rises by twice the rise in x plus one. With a ruler and the specified amount as the starting point, draw a vertical line. From the line across to the -axis, create a horizontal line using a ruler. Look at the value on the -axis.
There are three fundamental ways to graph linear functions. The initial method involves charting points and then tracing a line through them. The second is by using the slope and y-intercept. The identity function f(x)=x is transformed as the third method.
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Find the nth Maclaurin polynomial for the function. f(x) = sec(x), n = 2 P_2(x) =
Answer:
\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)
Step-by-step explanation:
Given that:
f(x) = sec (x) , n = 2
Where are to find P_2(x)
Suppose ; f(x) = sec (x) , n = 2
then
\(f(0) = sec (0) = 1\)
\(f'(x) = sec (x)* tan (x)|_{x=0} = 0\)
\(f''(x) = sec (x)*tan ^2(x)+ sec (x) * sec^2(x)\)
\(f''(x) = sec (x)*tan ^2(x)|_{x=0} + sec^3(x)\)
\(f''(x) = 0 + sec^3(0)\)
\(f''(x) = 1\)
\(f(x) = f(0) + \dfrac{f'(0)x}{1!}+ \dfrac{f''(0)x^2}{2!}+ \dfrac{f'''(0)x^3}{3!}+...\)
\(f(x) = 1 + \dfrac{0}{1!}x+ \dfrac{x^2}{2!}+...\)
\(f(x) = 1 + \dfrac{x^2}{2}+...\)
since order n =2
\(\mathbf{P_2(x) = 1+\dfrac{x^2}{2}}\)
What is 96% of 675 pls exxplain
Answer:
648
Step-by-step explanation:
96 percent *675 =
(96:100)*675 =
(96*675):100 =
64800:100 = 648
Answer:
27
Step-by-step explanation:
I can't explain sorry
Solve for x: -8 < 3x + 1 ≤ 13
Answer: If you’re doing algebra, -3<x or x<_4.
Another answer is -3<x<_4
Answer:
-3 < x <_4
Step-by-step explanation:
-8 < 3x+1 <_13
First solve for the left side: -8 < 3x + 1
Subtract 1 from each side
-9 < 3x
Divide each side by 3
-3 < x
Solve for the right side: 3x+1 <_13
Subtract 1 from each side
3x <_ 12
Divide each side by 3
x<_4
Put it together for your answer
-3 < x <_4
A. K=3/2 and y=15
B. K=1/4 and y=5
Answer:
A.K= 2/3 Y=15
SORRY I ONLY DID A