Step-by-step explanation:
4.66666 yard 14 feet =4yd 2 feet
Quadrilateral ABCD will be dilated about the origin by a scale factor of and then reflected across they-axis.А987654DB321-6-5-2-8-4-1702B5-1-2-30C-4-5-6-7Identify the coordinates of the points after the transformation:Byes
SOLUTION:
Step 1:
In this question, we have that the Quadrilateral ABCD will be dilated about the origin by a scale factor of 1/3 and then reflected across the y-axis:
From the graph, we can see that:
\(\begin{gathered} A(\text{ -3, 9 )} \\ B(\text{ -6, 3 )} \\ C(0,\text{ -3)} \\ D(3,\text{ 3)} \end{gathered}\)Step 2:
We need to dilate about the origin by a scale factor of 1/3, then
we have that:
\(\begin{gathered} A\text{ ( - 1 , 3 )} \\ B\text{ ( - 2, 1)} \\ C\text{ ( 0, -1)} \\ D(\text{ 1, 1 )} \end{gathered}\)Step 3 :
We need to reflect across the y-axis:
( x , y ) ------- ( -x, y )
\(\begin{gathered} A(-1,3)------A^{I\text{ }}(\text{ 1, 3 )} \\ B(-2,1)------B^I\text{ ( 2, 1)} \\ C(0,-1)------C^I\text{ ( 0, -1)} \\ D(1,1)-------D^I\text{ ( -1 , 1 )} \end{gathered}\)From the graph,
a) The original polygon is in colour Red
b) The dilated image of the original polygon is in colour Blue
c) The reflection of the dilated image is in colour Green.
Consider the following equations and name the property of equality used for the variable-3b=18
Answer: b = -6
Step-by-step explanation:
The property of equality used in the equation -3b = 18 is the Multiplicative Inverse Property or the Division Property of Equality.
According to the Division Property of Equality, if we divide both sides of an equation by the same non-zero number, the equality is still maintained. In this case, we can divide both sides of the equation by -3 to solve for the variable b:
-3b / -3 = 18 / -3
b = -6
By dividing both sides of the equation by -3, we find that b is equal to -6.
A carpenter lays 18 square feet of tiles in 2/3 of an hour. How many square feet of tile does the carpenter lay per hour?
How would I do this problem if the options are the following choices:
A: 12 Square Feet Per Hour
B: 17 1/3 Square Feet Per Hour
C: 18 2/3 Square Feet Per Hour
D: 27 Square Feet Per Hour.
Answer:
D. 27 square feet per hour
Step-by-step explanation:
Step 1:
Find the unit rate. Since 18 tiles are per 2/3 of an hour, we can divide 18 by 2 to get 9 tiles layed per third hour.
Step 2:
Multiply the 9 per third of an hour by 3 to find how many are per hour,
\(9*3=27\) square feet per hour
This is called finding the unit rate of a scenario.
A pair of sneakers is on sale for 20% off. The original price is $100. What is the price of the sneakers with the discount?
Answer:
it will be $80.00 and your saving $20.00
Step-by-step explanation:
Ali and habib play a computer game to score points ali scores 43,901 points habib scores 5,089 points the winner is the first player to get 40,000 points more than the other player a. estimate the difference between their scores b.is the estimate enough to find the winner
Based on the points obtained from Ali and Habib in the game we can say that:
a. The difference between their scores is: 38.812
b. The estimate is not enough to find the winner
To solve this problem we must perform the following algebraic operations with the given information
Information about the problem:
Ali's points = 43,901Habib's points = 5,089Difference between their scores =?To calculate the difference between their scores we must perform the following subtraction:
Difference between their scores = Al's points - Habib's points
Difference between their scores = 43.901 - 5.089
Difference between their scores =38.812
Due to the difference between their scores is less than 40,000 points, it is not yet possible to define a winner.
What are algebraic operations?We can say that they are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.
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What’s the answer? Please help me T^T
A
B
C
D
Answer:
B
Step-by-step explanation:
Important Please Help!!!!!!
Use the definitions of even, odd, prime, and composite to justify each of your answers.
Exercise
Assume that k is a particular integer.
a. Is − 17 an odd integer?
b. Is 0 an even integer?
c. Is 2k − 1 odd?
This is because 2k is always an even integer (by definition) and subtracting 1 from an even integer always results in an odd integer. So, 2k - 1 is odd for any integer value of k.
a. Yes, -17 is an odd integer because it satisfies the definition of an odd integer, which is an integer that can be written in the form 2n + 1 for some integer n. In this case, we can write -17 as 2(-9) + 1, which means it is odd.
b. Yes, 0 is an even integer because it satisfies the definition of an even integer, which is an integer that can be written in the form 2n for some integer n. In this case, we can write 0 as 2(0), which means it is even.
c. No, we cannot determine whether 2k - 1 is odd or even based on the information given. However, we can say that it is always an odd integer when k is an integer. This is because 2k is always an even integer (by definition) and subtracting 1 from an even integer always results in an odd integer. So, 2k - 1 is odd for any integer value of k.
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This is because 2k is always an even integer (by definition) and subtracting 1 from an even integer always results in an odd integer. So, 2k - 1 is odd for any integer value of k.
a. Yes, -17 is an odd integer because it satisfies the definition of an odd integer, which is an integer that can be written in the form 2n + 1 for some integer n. In this case, we can write -17 as 2(-9) + 1, which means it is odd.
b. Yes, 0 is an even integer because it satisfies the definition of an even integer, which is an integer that can be written in the form 2n for some integer n. In this case, we can write 0 as 2(0), which means it is even.
c. No, we cannot determine whether 2k - 1 is odd or even based on the information given. However, we can say that it is always an odd integer when k is an integer. This is because 2k is always an even integer (by definition) and subtracting 1 from an even integer always results in an odd integer. So, 2k - 1 is odd for any integer value of k.
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Pls help it’s due right now
Answer:
y + 11 = 14
Step-by-step explanation:
Answer:
The equation is y + 11 = 14
The answer to that equation is 3
Step-by-step explanation:
y + 11 = 14
-11 -11
y = 3
Please solve no need for explanation
Answer:
I am not sure
Step-by-step explanation:
But I think I know
Answer:
Step-by-step explanation:
n=0
w=3120
i=\(\sqrt 2\)
q=\(\frac{-6}{7}\)
r=5.123456...
The novel is 216 pages long. If Sergio continues to read at the same rate, how long will it take him to finish reading the entire novel
please help asap thank u so muchhh
The answer is 7h and 12m
Step-by-step explanation:
To solve for time, divide the distance traveled by the rate. For example, if Sergio continues reading the total of 216 pages, then he had finish reading for 7 hours and 12 minutes!
You want to determine which cellphone provider would give you the best service. is it Experimental vs. Observational
What kinds of quadrilateral is the shape shown? The matching arrow labels indicate that two opposite sides are parallel. (Remind me about the shapes 5 5
The quadrilateral in the picture is a square since all four sides are equal.
The angles are all equal and all are right angles.
Clearly, the quadrilateral is a square.
Find the area of the shape shown below. 12 4 units
A study found that working adults ages 22-25 spend an average of $14.27 a day on food with a standard deviation of $2.25. The amount Jeremy spends per day is 4 standard deviations above the average. How much does Jeremy spend per day, rounded to 2 decimal places? Enter your answer as a number only, do not include the dollar sign (ie - if your answer is $3.25, enter it as 3.25). Consider events A and B and the following probabilities: P(A) = .4000 P(B) = 2000 P( AB) = 2500 Find P(A and B). Enter your answer as a decimal rounded to 4 decimal places. Suppose that you have 15 cards. Six are red and 9 are yellow. Suppose you randomly draw two cards, one at a time, without replacement. Find Plat least one red). Answer as a fraction in unreduced form Hint: It may help you to draw a tree diagram to solve this. You do not need to turn the tree diagram in, just use it to answer the question 108/ 210 None of the above 30 /210 138 /210 72 /210
The Jeremy spends $22.27 per day, rounded to 2 decimal places.
the P(A and B) is 0.2500, rounded to 4 decimal places.
the probability of drawing at least one red card is 23/35.
How we solve get the answer?The amount Jeremy spends per day can be calculated as follows:Amount Jeremy spends per day = Mean + (4 * Standard Deviation)
\(= $14.27 + (4 * $2.25)\)
= \($22.27\) (rounded to 2 decimal places)
To find P(A and B), we use the formula:P(A and B) = P(A) * P(B|A)
where P(B|A) is the conditional probability of B given A.
From the information given, we know that P(A) = 0.4000, P(B) = 0.2000, and P(AB) = 0.2500. To find P(B|A), we can use the formula:
P(B|A) = P(AB) / P(A)
Substituting the values we have, we get:
P(B|A) = 0.2500 / 0.4000
= 0.6250
Now, we can calculate P(A and B) using the formula above:
P(A and B) = P(A) * P(B|A)
= 0.4000 * 0.6250
= 0.2500
To find the probability of drawing at least one red card, we can use the complement rule:P(at least one red) = 1 - P(no red)
To calculate P(no red), we need to find the probability of drawing two yellow cards in a row, since there are no red cards left after the first card is drawn.
The probability of drawing a yellow card on the first draw is 9/15, or 3/5. The probability of drawing a yellow card on the second draw, given that the first card was yellow, is 8/14, or 4/7
(since there are now 8 yellow cards and 14 cards total remaining). Therefore, the probability of drawing two yellow cards in a row is:
P(no red) = (9/15) * (8/14)
= 24/70
= 12/35
Using the complement rule, we can now find the probability of drawing at least one red card:
P(at least one red) = 1 - P(no red)
= 1 - 12/35
= 23/35
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Help plsssssssss i don't know this!!!!!!!!!!!!!!!!
Answer: a
Step-by-step explanation: I did the test
Answer:
The total cost is $6.25
Step-by-step explanation:
3/4 of 1 kilo of rect
4/5 of 1 kilo of square
3/5 of 1 kilo of flower
rect = 3 per kilo
square = 3 per kilo
flower = 3 per kilo
First rectangle beads:
3x = y where x is number of kilos and y is full cost
3(3/4) = y
9/4 = y = 2 1/4 = $2.25
Second square beads:
3x = y where x is number of kilos and y is full cost
3(4/5) = y
12/5 = y = 2 2/5 = $2.20
Third flower beads:
3(x) = y where x is number of kilos and y is full cost
3(3/5) = y
9/5 = y = 1 4/5 = $1.80
Add costs together
1.80 + 2.20 + 2.25 = 6.25
The total cost is $6.25
Simplify each expression.
(3 + √-4) (4 + √-1)
The simplified expression of (3 + √-4) (4 + √-1) is 10 + 11i.
To simplify the expression (3 + √-4) (4 + √-1), we'll need to simplify the square roots of the given numbers.
First, let's focus on √-4. The square root of a negative number is not a real number, as there are no real numbers whose square gives a negative result. The square root of -4 is denoted as 2i, where i represents the imaginary unit. So, we can rewrite √-4 as 2i.
Next, let's look at √-1. Similar to √-4, the square root of -1 is also not a real number. It is represented as i, the imaginary unit. So, we can rewrite √-1 as i.
Now, let's substitute these values back into the original expression:
(3 + √-4) (4 + √-1) = (3 + 2i) (4 + i)
To simplify further, we'll use the distributive property and multiply each term in the first parentheses by each term in the second parentheses:
(3 + 2i) (4 + i) = 3 * 4 + 3 * i + 2i * 4 + 2i * i
Multiplying each term:
= 12 + 3i + 8i + 2i²
Since i² represents -1, we can simplify further:
= 12 + 3i + 8i - 2
Combining like terms:
= 10 + 11i
So, the simplified expression is 10 + 11i.
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please help thank you!
Answer:
...…...................c = 50
A line passes through the point (9, "-9)" and has a slope of -2
write an equation in point-slope form for this line.
Answer:
y + 9 = -2 (x - 9)
Step-by-step explanation:
M (slope) = -2
X=9 and Y=-9
Point-slope form
y - y1 = m(x - x1)
y - - 9 = -2( x - 9)
y + 9 = -2(x -9)
2. A computer programmer earns a regular hourly rate of P50. 0. If he
worked 42. 75 hours in a week, how much did he earn?
pls answer this with solution a really need the solution
Answer:
b
Step-by-step explanation:
42.75+4=6
A group of rowdy teenagers near a wind turbine decide to place a pair of
pink shorts on the tip of one blade. They notice that the shorts are at its
maximum height of 16 metres at t = 10 s and its minimum height of 2 metres at
t = 25 s.
a) Determine the equation of the sinusoidal function that describes
the height of the shorts in terms of time.
b) Determine the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a metre.
Answer:
a) Hence the equation of the sinusoidal function that describes the height of the shorts in terms of time is \(y = 9 + 7* sin(\pi * t / 15 - \pi / 6)\)
b) Hence the height of the shorts at exactly t = 10 minutes, to
the nearest tenth of a meter is 5.5 meters
Step-by-step explanation:
a) The wind turbine blade traverses a circular path as it rotates with time (t), whose time variation is given by the following trajectory equation :
\(x^2 + (y-yc)^2 = R^2\) ,
where
R = (16 m - 2 m)/2 (since diameter = maximum height - minimum height of the pink short)
= 14 m / 2
= 7 m (radius of the circle)
Also, center of the circle will be at (0, 2 + R) i.e (0,9)
So, is the trajectory path equation to the circle
Let \(x = 7* cos(w*t + \phi ) & y = 9 + 7* sin(w* t + \phi)\) be the parametric form of the above circle equation which represent the position of the pink shorts at the tip of the blade at time t
At t= 10s, y = 16 m so we have,
\(9 + 7 * sin(10* w + \phi) = 16\) ---------------(1)
Also, at t= 25s, y =2 m so we have,
\(9 + 7* sin(25 * w +\phi) = 2\)--------------(2)
Solving we have, \(10* w + \phi = \pi/2 & 25*w + \phi = 3*pi/2\)
\(15* w = \pi\\\\w = \pi/15 & \phi = \pi/2 - 10*\pi/15 = -\pi / 6\)
Therefore \(y = 9 + 7* sin(\pi * t / 15 - \pi / 6)\) is the instantaneous height of the pink short at time t ( in seconds)
b) At t= 10minutes = 10 * 60 s = 600s, we have,
\(y = 9 + 7 * sin(\pi * 600/15 - \pi / 6)\\\\= 9 + 7 * sin(40* \pi - \pi / 6)\)
= 5.5 meters (pink short will be at 5.5 meters above ground level at t= 10 minutes)
when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes,: group of answer choices the variance of both of the original populations must be known (as opposed to estimated) the scores from both samples are combined to form a single sample, and the estimated variance is figured in the usual way, but using this combined sample the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants the variance of at least one of the original populations must be known (as opposed to estimated), but the other can be estimated from sample scores
The estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.
What is population variance?
Each data point's distance from the population mean is quantified by the population variance, which is a measure of dispersion. The average of the squares of the deviations from the data's mean value is known as population variance.
Hence, when determining the pooled population variance estimate for a t test for independent means with unequal sample sizes, the estimates based on each of the samples are averaged in such a way as to give more influence to the estimate based on more participants.
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Help me solve this pls because i need to solve this fast help me
Answer:
See below
Step-by-step explanation:
When they are equivalent.....they are equal...so...set them equal
4x+5+x+9=9x+10 solve for x ....first simplify
5x + 14 = 9x+10 subtract 5x and 10 from both sides of the equation
4 = 4x
x = 1
A seal went 15 feet below sea level to catch a fish. A sea lion dove 6 feet less than two times as deep as the seal to catch a larger fish. What expression represents the sea lion’s position in relation to sea level?
Answer:
The sea lion dives 24 feet.
Step-by-step explanation:
A seal (S) dives 15 feet.
A sea lion (SL) dives 6 feet less than 2 times the seal's dive. That can be expressed as:
SL = 2S -6
Since we know S = 15, we can say:
SL = 2*(15) - 6
SL = 24 feet
The sea lion dives 24 feet.
Help please and thank you
100 points.
My teacher asked for me to specify which two theorems I used. And I don't know. Here is my work can someone help please.
Isosceles Right Triangle Reflection to prove ASA Congruence
1. Answer the following questions:
A. What line of reflection did you choose for your transformation?
- I used the y-axis as my line of reflection.
B. How are you sure that each point was reflected across this line?
- I am sure because the sides are all opposite, but the numbers stayed the same.
C. What reflection rule did you apply to your triangle?
- (x, y) ➟ (-x, y)
2. What other properties exist in your triangle? Discuss at least two theorems you learned about in this module that apply to your triangle. Make sure to show evidence by discussing your triangle's measurements.
- I learned that if two sides of my triangle are congruent then the angles opposite of them are congruent as well. The third angle is 90 degrees.
3. Did your triangle undergo rigid motion? Explain why.
- Yes, it did. It did because the distance and position stayed the same while the points and the plane moved.
Answer:
Actually you did everything right
Step-by-step explanation:
yes
This question requires proving congruency of triangles in a given co-ordinate system we by use of ASA(angle side angle) theorem.
Types of triangles and it's properties.An isosceles right angle triangle has two equal sides and the corresponding angles will also be equal it will be of 45° - 45° - 90°.
The hypotenuse will be \(\sqrt{2}\) times of the equal sides.
A. We have chosen x-axis as a line of refection.Reflection along x-axis idicates rotation of 180° along x axis.
B. We are sure that each point is reflected accross this line because base has same magnitude but the signs have changed and rotation along x-axis doesn't change the value of y co-ordinate.
C. Rotaion along X-axis by 180°.
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Work out
86
% of
570
kg
Answer:
The answer would be 490.2 kg because when you're finding the percent of a certain number, you can multiply the number with the percentage. When converting the percentage, you have to move the decimal point 2 times to the left.
Answer:
490.02kg
Step-by-step explanation:
In short-
86%= 86/100
"of" in maths is basically "multiply"
therefore,
86/100 * 570=x
0.86*570=x
x=490.02
HELP! I need to know how much I got wrong! There are 23 questions on my test but the points are out of 5. When I finished the test, I got 3.26/5. How many wrong?
Answer:
8 wrong and 15 right if every question is the same points
Step-by-step explanation:
3.26/5 is 0.652
15/23 is 0.652 ish rounded
So I assume 8 wrong
Just chilling with Walter. Rate us.
Answer:
100/100
Step-by-step explanation:
Y'all look AWESOME.
the retirement plan for a company allows employees to invest in 10 different mutual funds. if sam selected 4 of these funds at random and 6 of the 10 grew by at least 10% over the last year, what is the probability that 3 of sam's 4 funds grew by at least 10% last year? (enter your probability as a fraction.)
0.23809 is the probability that 3 of sam's .
What is probability in math?
The area of mathematics known as probability explores potential outcomes of events, along with the likelihoods and distributions of those occurrences.
Total fund = 10
no of funds grow by atleast 10% = 5
do not grow by atleast by 10% = 10 - 50 = 5
no of funds selected by sum at random = 4
No of ways of selecting 4 from 10 funds = ¹°C₄
= 10!/( 10 - 4 )!4! = 210
No of ways of selecting 3 grow atleast 10% from 5 which frow at least 10% funds = ⁵C₃
= 5!/3!( 5 - 3 )! = 10
No of ways of selecting 1 which do not grow at last 10% out of 5 funds which do not grow at least 10% funds = ⁵C₁ = 5!/( 5 - 1)! 1! = 5
Probability ( that 3 of sam's funds grew by atleast 10%
= 10 * 5/210 = 5/2! ≈ 0.23809
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