Rotating 270 degrees counterclockwise about the origin is the same as rotating 90 degrees clockwise about the origin, which can be expressed in coordinate notation \((x,y) \longrightarrow (y, -x)\).
So, the vertices of the image are:
\(U(4,0) \longrightarrow U'(0, -4)\\\\T(5,0) \longrightarrow T'(0, -5)\\\\S(5,-1) \longrightarrow S'(-1, -5)\\\\R(4, -1) \longrightarrow R'(-1, -4)\)
75 of the counters to Lucas
What fraction of the 400 counters is left in Bill's bag?
Give your fraction in its simplest form.
The fraction of the 400 counters is left in Bill's bag is 2/5.
What is Fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
Total number of counters Bill has=400
Number of counters given to Samina = 35
Number of counters given to Henry = 50
Number of counters given to Lucas = 75
Now, Number of counters left in the bag
= 400-(35+50+75)
= 400 - 160
= 240
So, the Fraction of counters left in the bag
= 240/400
= 3/5
Hence, the fraction of the 400 counters is left in Bill's bag is 2/5.
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.A key concept in agile projects is that something of value will be delivered at each iteration.
True or false?
Answer:
Step-by-step explanation:
Which statements about the relationship between the two triangles below are true? Check all that apply.Mark this and return
Select the situations that can be described by the unit rate 4 tomatoes per plant.
A gardener harvested 4 tomatoes from 30 plants.
A gardener harvested 4 tomatoes from & plants.
Agardener harvested 5 tomatoes from 20 plants.
O A gardener harvested 20 tomatoes from 5 plants.
A gardener harvested 12 tomatoes from 3 plants.
Answer:
A gardener harvested 20 tomatoes from 5 plants.
A gardener harvested 12 tomatoes from 3 plants.
Step-by-step explanation:
Answer:
Rdfff
Step-by-step explanation:
Divide. Give the Quotient and Remainder. 520 / 22
Answer:
Quotient=23 and remainder=14
What is the slope of the line that passes through the points (-2, 3)(−2,3) and (-14, -5) ?(−14,−5)? Write your answer in simplest form.
Answer:
slope= 2/3
Step-by-step explanation:
In order to find the slope, we need to use the two points we are given.
The formula for the slope is m= (y1-y2)/(x1-x2), where m is the slope.
y1=3
y2=-5
x1=-2
x2=-14
Therefore, m=(3-(-5)/(-2-(-14)
=8/12
=2/3
m=2/3
Is the following number rational or irrational?
-3+\pi−3+π
Answer:
Irrational
Step-by-step explanation:
I hoped this helped, I don't know if it's right
what is next in the sequence? -1,2,7,14,23
Answer:
11
Step-by-step explanation:
yes
calculate the size of angle BCD
Answer:
∠ BCD = 122°
Step-by-step explanation:
The opposite angles of a cyclic quadrilateral sum to 180° , then
∠ BCD = 180° - 58° = 122°
Please find the range of these numbers
Answer:7
Step-by-step explanation:range is highest number subtracted by lowest
Answer:
17
Step-by-step explanation:
The formula for range is max-min.
The max is 91 and the min is 74
91-74=17
Find the height of the basketball hoop to the nearest foot.
A. 7 ft
B. 10 ft
C. 12 ft
D. 15 ft
Answer:
12 ft
Step-by-step explanation:
Hi there!
1) Find the length of the other leg in the right triangle
There are two ways we can go about this. The first way is to use trigonomic ratios:
We're given one of the legs and we're trying to solve for the other, so we can use the tangent ratio:
\(tan\theta=\frac{opp}{adj}\)
Let x be equal to the length of the other leg. Plug in the known values:
\(tan45=\frac{x}{7}\\7*tan45=x\\x=7\)
The other way to find this is to observe the angles. Because we're given that two of the angles are 45 and 90 degrees, we know that the third angle is 45 degrees. This makes this an isosceles triangle, meaning the other leg is 7 ft long.
2) Determine the height of the hoop
Add 7 ft and 5 ft (the person's height):
7+5=12 ft
I hope this helps!
if x^3 + k^3 = (x + k)(x^2 - 2x + k^2) what is k?
Answer:
Step-by-step explanation:
Compare with the identity: a³ + b³ = (a +b)(a² - ab + b²)
x³ + k³ = (x + k)(x² - 2x + k²)
⇒ ab = 2x
x *b = 2x
b = 2x/x
b = 2
k = 2
Find the axis of summetry and the Vertex of its graph. Y=x2/squared-8x
Answer:
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
Select a few
x
x values, and plug them into the equation to find the corresponding
y
y values. The
x
x values should be selected around the vertex.x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
Graph the parabola using its properties and the selected points.
Direction: Opens Up
Vertex:
(
4
,
−
18
)
(4,-18)
Focus:
(
4
,
−
71
4
)
(4,-714)
Axis of Symmetry:
x
=
4
x=4
Directrix:
y
=
−
73
4
y=-734
x
y
2
−
14
3
−
17
4
−
18
5
−
17
6
−
14
xy2-143-174-185-176-14
image of graph
Which of the following is true regarding p-values associated with the estimated coefficients in a linear regression model?
a. The larger the p-value, the higher the probability that the variable is statistically significant. b. The larger the p-value, the more confident we are that we should reject the null hypothesis that the population coefficient is equal to 0.
c. The p-value is only meaningful if the R-square value is greater than 0.7.
d. The larger the p-value, the higher the probability that the variable is statistically significant.
Your answer: b. The larger the p-value, the more confident we are that we should reject the null hypothesis that the population coefficient is equal to 0.
Option b is true regarding p-values associated with the estimated coefficients in a linear regression model. The p-value represents the probability of observing a test statistic as extreme or more extreme than the one observed, assuming that the null hypothesis is true.
Therefore, the larger the p-value, the more likely it is that the estimated coefficient is not significantly different from 0 and we fail to reject the null hypothesis. A p-value of less than 0.05 is commonly used to indicate statistical significance. The R-square value, which measures the proportion of variance in the dependent variable explained by the independent variable(s), is not directly related to the p-value.
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On a family vacation, Amy's dad drove the car at a constant speed and traveled 585 miles in 13 hours. At this rate, how long would it have taken the family to travel 810 miles?
Collect like terms y + 2 y
Answer:
y + 2y = 3y
Explanation:
y and 2y are like terms. Their sum is 3y
What is the simplest form of the fraction 56/16?
\(\huge\text{Hey there!}\)
\(\huge\boxed{\mathsf{\dfrac{56}{16}}}\\\\\\\huge\boxed{\mathsf{\rightarrow \dfrac{56\div8}{16\div2}}}\\\\\\\huge\boxed{\mathsf{\rightarrow \dfrac{7}{2}}}\\\\\\\\\huge\text{SIMPLIFY IT!}\\\\\\\huge\boxed{\approx \mathsf{3 \dfrac{1}{2}}}\\\\\\\\\huge\text{Therefore, your answer is: \huge\boxed{\mathsf{3\dfrac{1}{2}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Answer:
7/2
Step-by-step explanation:
Given fraction,
→ 56/16
The simplest form of the fraction is,
→ 56/16
→ (56 ÷ 8)/(16 ÷ 8)
→ 7/2
Hence, the simplest form is 7/2.
Because psychologists generally use college students as research participants, the research does NOT involve Group of answer choices random sampling. convenience sampling. confounds. random assignment.
Answer: random sampling
Step-by-step explanation:
Because psychologists generally use college students as research participants, the research does not involve random sampling.
Random sampling is when each sample has an equal chance of being selected. Since the psychologists are targeting a particular set of students, the random sampling might not be applicable in this case.
Kira is solving the equation 3(2x + 5) - (5x - 2) = 42. Her steps are shown below.
Step 1: 6x + 15 - (5x - 2) = 42
Step 2: 6x + 15 - 5x - 2 = 42
Step 3: x + 15 – 2 = 42
Step 4: x + 13 = 42
ď
D) 2.
In which step does a mistake first appear?
D.
CLEAR AL
help ?
Answer:
D)2
the minus sign outside the bracket when multiplied by a negative number in the bracket is equal to a positive number
Answer:
D) 2
Step-by-step explanation:
the electric potential v as a function of the position x along the x-axis is given by the equation v=−4x2 3x 8. the electric field ex as a function of x is given by responses
The electric field increases linearly with the position x along the x-axis.
The electric field E as a function of the position x can be found by taking the derivative of the electric potential V with respect to x:
E = -dV/dx = -d(-4x^2 + 3x - 8)/dx = 8x - 3
So the electric field E as a function of x is given by the equation:
E = 8x - 3
This means that the electric field increases linearly with the position x along the x-axis.
Therefore, The electric field increases linearly with the position x along the x-axis.
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what must be your average speed in order to travel 350 km in 5.15 h?
Answer:
68 km/h--------------
Average speed equation:
s = d/t, where d- total distance, t - total timeSubstitute 350 for d and 5.15 for t:
s = 350/5.15s = 67.96 ≈ 68 km/hThe average speed must be approximately 68 km per hour.
two methods are used to predict how many customers will call in for help in the next four days. the first method predicts the numbers of callers to be 23, 5, 14, and 20 for the four respective days. the second method predicts 20, 13, 14, and 20 for the four respective days. the actual numbers of callers turn out to be 23, 10, 15, and 19. which method has the smaller mean absolute error (mae)?
Note that the first method has the smaller Mean Absolute Error (MAE) which is 1.75
What is Mean Absolute Error?The mean absolute error (MAE) is defined as the average variance between the significant values in the dataset and the projected values in the same dataset.
The steps to finding the MAE in eah case is
For the 1st method
Absolute error (AE) for day 1 = |23 - 23| = 0
AE for day 2 = |5 - 10| = 5
AE for day 3 = |14 - 15| = 1
AE for day 4 = |20 - 19| = 1
so MAE = (0 + 5 + 1 + 1) / 4 = 1.75
For the 2nd system,
Absolute error (AE) 1 = |20 - 23| = 3
AE for day 2 = |13 - 10| = 3
AE for day 3 = |14 - 15| = 1
AE for day 4 = |20 - 19| = 1
So the MAE = (3 + 3 + 1 + 1) / 4 = 2
We can conclude, hence, that t the first method has the smaller MAE of 1.75.
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Thirteen-year old Sammy Thompson bought old skateboards at anction for $350.
He fixed them and sold them for $50 each. WRITE an equation to find how many
skateboards Sammy bought to make a $6200 profit.
Answer:
124
Step-by-step explanation:
calculator blablabla
Assume that the int variables a, b, c, and low have been properly declared and initialized. The code segment below is intended to print the sum of the greatest two of the three values but does not work in some cases.if (a > b && b > c){low = c;}if (a > b && c > b){low = b;}else{low = a;}System.out.println(a + b + c - low);For which of the following values of a, b, and c does the code segment NOT print the correct value?Aa = 1, b = 1, c = 2Ba = 1, b = 2, c = 1Ca = 1, b = 2, c = 3Da = 2, b = 2, c = 2Ea = 3, b = 2, c = 1
The correct solution are,
(C) a=1, b=2, c=3.
The code segment does not work in the case where a > b, c > b, but a < c.
In this case, the value of 'low' is set to 'b' instead of 'a', which causes the code segment to print the incorrect value.
The values of a, b, and c that fall into this case are a=1, b=2, and c=3.
Let's trace through the code segment using a=1, b=2, and c=3:
Since a=1 and b=2, the first conditional statement (a > b && b > c) evaluates to false, so we skip the first 'if' block.
Since a=1 and c=3, the second conditional statement (a > b && c > b) evaluates to true, so we set 'low' to 'b'.
However, since we have an 'else' block following the second conditional statement, it will always be executed. So, 'low' is set to 'a' instead.
Finally, the code segment prints the sum of a + b + c - low, which is 1+2+3-1 = 5, which is incorrect.
The correct answer should be 1 + 3 = 4.
Therefore, the answer is (C) a=1, b=2, c=3.
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Mira kitchen sink holds up to 103. 468 liters of water what is 103. 468 rounded to the nearest liter?
When rounded to the nearest liter, 103.468 liters would be rounded to 103 liters.
When rounding a number to the nearest liter, we consider the decimal part of the number. In this case, the number is 103.468 liters. The decimal part is 0.468.
To determine whether to round up or down, we compare the decimal part to 0.5. If the decimal part is 0.5 or greater, we round up. If it is less than 0.5, we round down.
In this case, the decimal part 0.468 is less than 0.5. Therefore, we round down to the nearest whole number, which is 103. Thus, 103.468 liters rounded to the nearest liter is 103 liters.
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Mr. Lopez went on a bike ride. Every time he stops to drink water, his bike ride takes 3
minutes longer. If he stops to drink water 6 times, how much longer does his bike ride
take? (Input the number only for your answer)
Answer:
18
Step-by-step explanation:
6 breaks x 3 minutes each
= 18 minutes
After surveying 100 parents, researchers concluded that 90 percent of babies can walk by the age of 10 months. Why is this an inappropriate conclusion? The researchers should have conducted an experiment. Answer A: The researchers should have conducted an experiment. A The cerebellum is completely developed by ten months. Answer B: The cerebellum is completely developed by ten months. B A case study would have yielded more reliable data. Answer C: A case study would have yielded more reliable data. C At 10 months, ninety percent of toddlers have not reached the developmental milestones to walk. Answer D: At 10 months, ninety percent of toddlers have not reached the developmental milestones to walk. D At 10 months, seventy percent of toddlers can walk
This is an inappropriate conclusion because of D. At 10 months, ninety percent of toddlers have not reached the developmental milestones to walk.
What is an inappropriate conclusion?An inappropriate conclusion is one arrived at without a proper research design. An inappropriate conclusion can also be reached when the interpretation of the research result is not based on the findings.
Our conclusion implies that there is a wrong interpretation of the research findings because of the researcher's bias.
Thus, the research conclusion is inappropriate because of Option D.
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a recipe requires the following ingredients to make 16 gingerbread men
140g of flour
250g of sugar
80g of ginger
110g of butter
how much of each ingredient would you need to make 40 gingerbread men?
How do I work this out?
Answer:
5,600 g of flour
10,000g of sugar
3,200g of ginger
4,400g of butter
Just have to multiply each ingredient by 40
is the function continuous at all points in the given region: (b). y/x^2+2 on the disk x^2+y^2<=1
Yes, the function y/(x²+2) is continuous at all points in the given region, which is the disk x²+y²<=1.
To show this, we need to show that the function is defined and continuous at every point (x, y) in the disk. The denominator x²+2 is always positive, so the function is defined for all (x, y) in the disk. To show that the function is continuous at each point, we can use the fact that the sum, difference, product, and quotient of continuous functions is also continuous, and that the projection functions x and y are continuous. Therefore, the function y/(x²+2) is continuous on the disk x²+y²<=1,
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What are the new coordinates of the following image after a reflection over the x-axis and a translation of -2 vertically and 5 horizontally? PLEASE HELP
the answer is in the picture.. if you have any questions feel free to ask
Alyssa’s bank charges $0. 25 for each check written, $0. 15 per ATM transaction, and a monthly fee to maintain a checking account. The table shows Alyssa’s checking account activity for December. Checks written 17 ATM transactions 23 Monthly maintenance fee ?? Total checking account fees $10. 95 How much is the monthly maintenance fee? $6. 70
As per the given fee details, the monthly maintenance fee is $3.25
Here we have given that Alyssa’s bank charges $0. 25 for each check written, $0. 15 per ATM transaction, and a monthly fee to maintain a checking account.
While we looking into the given table we have identified that
Number of ATM transaction = 23
Then the fee for ATM transaction is calculated as,
=> Fee of ATM transaction = 23 x 0.15 = $3.45
Then the number of check written is 17.
And the fee for the check written is calculated as,
=> Fee for Check written = 17 x 0.25 = $4.25
Here we know that the Total checking account fees $10. 95 and let us consider that x be the amount for maintenance fee, then it can be written as,
=> $3.45 + $4.25 + $x = $10.95
=> $7.7 + $x = $10.95
=> x = 10.95 - 7.7
=> x = $3.25
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