Answer:
The slope of y=-x+7y is m = - 1.
Step-by-step explanation:
y = m x + c
The intercept is (0,7) | constant term.
Evaluate the series 1 + 2 + 4 + 8 to S10.
The series to 10 term is
1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512
What is recurrent relation?An equation that represents a sequence based on a rule is called a recurrence relation.
Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.
The term is predicted by multiplying the preceding term by 2
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work out the size of angle x
Answer:
66 degrees
Step-by-step explanation:
All angles together equal 180.
79 + 35 = 114
180 - 114 = 66
or
180 - (79 + 35) = 66
I hope that this helps!
HELP ME PLEASE!!!!!!!!!!!!!
A5
Step-by-step explanation:
R+V+T+U+S =5 RUS= 7Y+27 =5
due last weeeekk help!!!!
A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.
What is a dilation?In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.
In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:
Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).
In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;
(x, y) → (y, -x)
Ordered pair B' (-2, 1) → E (1, 2)
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If x=6 and y=−4, evaluate the following expression:10−4xy
Answer:
106
Step-by-step explanation:
Substitute x = 6, y = - 4 into the expression
10 - 4xy
= 10 - 4 × 6 × - 4
= 10 - 24 × - 4
= 10 - (- 96)
= 10 + 96
= 106
Q5. [25 marks] a) For the stream functions given as: (i) \( \Psi=3 \) (ii) \( \Psi=3- \), confirm that continuity is satisfied at a point \( (1,2) \) for each streamline. [10 marks] b) An aerofoil wit
Yes, continuity is satisfied at the point (1,2) for each streamline given by the stream functions (i). Continuity ensures that the fluid flow remains consistent and uninterrupted along the streamlines.
Ψ
=
3
Ψ=3 and (ii)
Ψ
=
3
−
Ψ=3−.
To confirm continuity, we need to check if the partial derivatives of the stream functions with respect to x and y are continuous at the given point (1,2).
For stream function (i):
Ψ
=
3
Ψ=3
Since the stream function is a constant, its partial derivatives are zero everywhere. Thus, at the point (1,2), the partial derivatives are zero, indicating continuity.
For stream function (ii):
Ψ
=
3
−
Ψ=3−
Here, we have an incomplete stream function, as the expression is not provided. However, regardless of the specific expression, as long as the partial derivatives with respect to x and y are continuous at (1,2), continuity is satisfied.
Based on the given information, both stream functions (i) and (ii) satisfy continuity at the point (1,2). Continuity ensures that the fluid flow remains consistent and uninterrupted along the streamlines.
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the following frequency distribution displays the weekly sales of a certain brand of television at an electronics store. number sold frequency 01-05 12 06-10 5 11-15 5 16-20 5 21-25 25 how many weeks of data are included in this frequency distribution?
There are 52 weeks of data included in this frequency distribution.
The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store.
We need to find the number of weeks of data included in this frequency distribution.From the given data, we can see that the frequency column represents the number of televisions sold per week.
To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:12 + 5 + 5 + 5 + 25 = 52
Therefore, there are 52 weeks of data included in this frequency distribution.
The given frequency distribution displays the weekly sales of a certain brand of television at an electronics store. We need to find the number of weeks of data included in this frequency distribution.
From the given data, we can see that the frequency column represents the number of televisions sold per week. To find the number of weeks of data included, we need to sum up the frequency column. Summing up the frequency column gives us:
12 + 5 + 5 + 5 + 25 = 52
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3.3. about how long after shaking begins during the tangshan earthquake does it take the last building collapses? question 3 options: a. 1 minute b. 2 minutes c. 4 minutes d. 8 minutes
About two minutes long after shaking begins during the tangshan earthquake does it take the last building collapses.
At 3:42 am, an earthquake of magnitude 7.8 to 8.2 struck Tangshan, a Chinese industrial city of about one million people. The quake was particularly costly in terms of human life because most people slept in beds rather than outside the relatively safe streets. occurred along an unknown fault in the Cangdong fault system near the confluence of the The Tangshan fault is a north-northeast-trending strike-slip fault. An estimated 242,000 people died in Tangshan and surrounding areas, making the earthquake one of the deadliest in recorded history, with 300,000 killed in the Calcutta earthquake of 1737, believed dead in 1556. Shaanxi Province, where 830,000 people died of Chinese nationality. It lasted 23 seconds and destroyed 90% of Tangshan's buildings. At least 250,000 killed and 160,000 injured
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plzzzzzzzzzzzzzzz help
Answer: I think it’s a
Step-by-step explanation:
Answer: Choice C) \(-6 \le x \le 2\)
The domain is the set of possible x values or allowed inputs. The left-most point has x = -6 as the smallest allowed x value, while the right-most point has x = 2 as the largest allowed x value.
The domain is the set of numbers between -6 and 2, including both endpoints. So we write \(-6 \le x \le 2\)
If you want the domain written in interval notation, then you would have [-6, 2]. The square brackets tell the reader "include the endpoint".
what is the resultant image of point A(-12,3) , after a scale factor 1/3 and a rotation of 270 degrees?
The resultant image of point A(-12,3) , after a scale factor 1/3 and a rotation of 270 degrees is (1, 4).
What is dilation?In Geometry, dilation simply refers to a type of transformation which typically changes the size of a geometric object with respect to a specific scale factor, but not its shape.
Next, we would have to dilate the coordinates of the pre-image by using a scale factor of 1/3 centered at the origin as follows:
Ordered pair A (-12, 3) → Ordered pair A' (-12 × 1/3, 3 × 1/3) = Ordered pair A' (-4, 1).
By applying a rotation of 270° about the origin to the given figure, the location of A" is given by:
(x, y) → (y, -x)
Ordered pair A' (-12, 3) → Ordered pair A'' = (1, -(-4) = (1, 4).
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Please help someone
Is 8 - 2x equal to 10x + 3? Solve and say if they are equal to each other.
Answer:
No I don’t think they are
Step-by-step explanation:
Because when you solve them their different
At a wedding there were 40 people from gromms side and 56 people from bride's family at the wedding
find the ratio of the groom's family to the bride's family at the wedding
Answer:
5 : 7
Step-by-step explanation:
groom's side: 40
bride's side: 56
ratio groom to bride = 40/56 = 20/28 = 10/14 = 5/7
Answer: 5 : 7
Use synthetic division and the Remainder Theorem to find f(4) if f(x) = – 2x3 + 9x2
2x3 + 9.c- 6x + 7
Step-by-step explanation:
Let's see. f(4) makes the divisor x-4
4|-2 9 -6 7
| 8 -68 296
-2 17 -74 2072
The quotient is -2x²+17x-74 with a remainder of 2072
A triangle has sides with lengths of 13ft, 82ft, and 83ft. Is it a right triangle
Answer:
NOT a right triangle
Step-by-step explanation:
IF it is a right triangle, then the Pythagorean theorem would apply
13^2 + 82^2 = 83^2 ?????
169 + 6724 = 6889
6893 = 6889 ? No...it is NOT a right triangle
Jeremiah missed 68 questions on his multiple choice history final and earned a grade of 66%. How many total questions were on the final exam?
Answer:
200 questions
Step-by-step explanation:
If he missed 68 questions and got a 66%, that means 68 is 34% of the total number of questions
To find the total questions, divide 68 by 0.34
68/0.34
= 200
So, there were 200 total questions on the final exam
The points (3,-6) and (11,r) lie on a line with slops 3/2. Find the missing coordinare r
Answer:
r = 6
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to \(\frac{3}{2}\)
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)
m = \(\frac{r+6}{11-3}\) = \(\frac{r+6}{8}\) = \(\frac{3}{2}\) ( cross- multiply )
2(r + 6) = 24 ( divide both sides by 2 )
r + 6 = 12 ( subtract 6 from both sides )
r = 6
Estimate any dynamic error that could result from measuring a 2 hz periodic waveform using a 1st order system having a time constant of 0.7 second.
The measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds.
The dynamic error that could result from measuring a 2 Hz periodic waveform using a 1st order system with a time constant of 0.7 seconds can be estimated using the following formula:
Dynamic error = 100% x (1 - exp(-T/τ)),
where T is the period of the input signal, τ is the time constant of the system, and exp(-T/τ) is the system's gain at the input frequency.
Substituting T = 0.5 s (since the period of a 2 Hz waveform is 0.5 seconds) and τ = 0.7 s, we get:
Dynamic error = 100% x (1 - exp(-0.5/0.7)) ≈ 21.6%
This means that the measured signal could have a dynamic error of approximately 21.6% of the true value due to the limitations of the 1st order system with a time constant of 0.7 seconds. This error is due to the fact that the system cannot respond fast enough to the rapid changes in the input signal, leading to an output that lags behind the input. The larger the time constant of the system relative to the period of the input signal, the larger the dynamic error will be.
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Jose paid $47.00 for 4 movie tickets each ticket cost the same what was the amount of each ticket
Order an acute angle, obtuse angle, a straight angle, and a right angle in order from least to greatest measure
Acute
Right
Obtuse
Straight
How do I find the triangular formula of a pentagon
It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.
We have,
A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.
The formula for the area of a triangle is given by:
Area = 1/2 x base x height
where the base and height are two of the sides of the triangle.
If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:
Area = (5/4) x s² x tan(π/5)
where s is the length of one of the sides of the Pentagon.
Thus,
It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.
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Which one of the following would be most helpful in strengthening the content validity of a test?
A. Administering a new test and an established test to the same group of students.
B. Calculating the correlation coefficient.
C. Calculating the reliability index.
D. Asking subject matter experts to rate each item in a test.
Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test
Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.
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MatnYou are dealt one card from a 52 card deck. Find the probability that you are dealt a ten or a black card.The probability is I (Type an integer or a fraction. Simplify your answer.)re
We have to find the probability that you are dealt a ten or a black card.
Out of the 52 card deck, there are 26 black cards.
There are also 4 cards that are tens, but there are 2 cards that are both black and tens.
Then, if we define B: the event of a black card and T: the event of a ten, we can calculate the probability of B or T as:
\(P(B\cup T)=P(B)+P(T)-P(B\cap T)\)Replacing with the values of the probability (success events divided by the total possible events), we can solve this as:
\(\begin{gathered} P(B\cup T)=P(B)+P(T)-P(B\cap T) \\ P(B\cup T)=\frac{21}{52}+\frac{4}{52}-\frac{2}{52} \\ P(B\cup T)=\frac{21+4-2}{52} \\ P(B\cup T)=\frac{23}{52} \end{gathered}\)Answer: the probability of getting a black or a ten is 23/52.
What is 9,000 + 20 + 6 in standard form?
In △ABD, altitude AC¯¯¯¯¯ intersects the right angle of triangle ABD at vertex A. BC=2.3 in. and CD=5.7 in..
What is the length of AC¯¯¯¯¯?
Enter your answer in the box. Round your answer to the nearest hundredth.
in.
Answer:
3.62
Step-by-step explanation:
AC=\(\sqrt{(CD)(BC)}\)
AC= \(\sqrt{2.3 * 5.7}\)
AC = \(\sqrt{13.11}\)
AC= 3.62
Select all the correct answers.
Given: m/WOZ = 90°
m/ZOB = 45°
Prove: m/AOW = 45°
What evidence in the proof supports the statement that 45° +mZAOW = 90°?
Statements
1. m/WOZ =
90°
2. m/ZOB = 45°
3. ZZOB ZXOA
4. m/XOA 45°
5. ZXOW + ZWOZ = 180°
6. m/XOW 90°
|7.m/XOA + mZAOW
=
Reasons
1. given
2. given
3. vertical angle theorem
4. definition of congruence
5. linear pair theorem
6. subtraction property of equality
= m/XOW 7. angle addition postulate
The correct answers are:
vertical angle theorem
angle addition postulate
What is an angle ?An angle is a mathematical term, which we can define, when two straight lines or rays meet at a common endpoint. The common point is called the vertex of an angle. The word angle comes from a Latin word named ‘angulus,’.
Interior angles:- The inner angle made by the intersection of two polygonal sides.
Exterior angles:- The outer angle made by the intersection of two polygonal sides.
The evidence in the proof that supports the statement that m/AOW = 45° is:
Statement 3: ZZOB ZXOA. This means that ZOB and ZOA are vertical angles, which means they are congruent.
Statement 4: m/XOA = 45°. This is the measure of ZOA, which is congruent to ZOB.
Statement 7: m/XOA + m/AOW = m/XOW. This is the angle addition postulate, which states that the sum of the measures of the angles in a triangle is 180°.
So, combining these pieces of evidence, we have:
m/XOA = 45° and m/XOA + m/AOW = m/XOW,
therefore m/AOW = m/XOW - m/XOA
= 90° - 45°
= 45°.
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Answer:7, 4, 6,
Step-by-step explanation:
The next model of a sports car will cost 5. 2% more than the current model. The current model costs $57,000. How much will the price increase in dollars? What will be the price of the next model?
The price of the next model will be $59,964, and the price increase will be $2,964.
How much will the price increase in dollars?To calculate the amount of the price increase, we need to multiply the current price by the percentage increase:
Price increase = 5.2% * $57,000
Price increase = 0.052 * $57,000
Price increase = $2,964
So, the price of the next model will be:
Next model price = $57,000 + $2,964
Next model price = $59,964
Hence, the price of the next model will be $59,964, and the price increase will be $2,964.
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If a translation of (x,y) (x+6,y-10) is applied to figure ABCD, what are the coordinates of D?
Image of figure ABCD is missing and so i have attached it.
Answer:
D_new = (-1, - 12)
Step-by-step explanation:
From the figure attached, the current coordinates of D are; (-5, -2)
Now, we are told the figure undergoes a translation of (x,y) (x+6,y-10)
Thus, this means we add 6 to the x value and subtract 10 from the y-value.
Thus, new coordinate of D is;
> (-5 + 6, -2 - 10)
> (-1, - 12)
Answer:
1, -12
Step-by-step explanation:
D = -5, -2
|
-5 + 6 = 1
|
-10 and -2 is -12
1, -12
did it on edge, got it right.
In the graphic above, ΔRED ≅ ΔTAN by: aHL. bSSA. cSAS. dThe triangles are not congruent.
Answer:
a. HL
Step-by-step explanation:
ΔRED ≅ ΔTAN by HL Postulate of congruen.
The triangles are congruent by SAS postulates. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
From the figure, we have
DR = NT (given)
RE = TA (given)
∠E = ∠A = 90°
Then the triangles are congruent by SAS postulates.
Then the correct option is C.
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A radar gun meaured the peed of a baeball at 5 mile per hour. If the baeball wa going 4.2 mile per hour, what wa the percent error in thi meaurement?
The percent error in this measurement would be 16%.
1. Calculate the difference between the measured speed and the actual speed: 5 mph - 4.2 mph = 0.8 mph
2. Calculate the percent error: (0.8 mph / 4.2 mph) x 100 = 19.05%
3. Round to the nearest whole number: 19.05% = 19%
The percent error in this measurement is 19%, which means that the measured speed was 19% higher than the actual speed.
This can be caused by a variety of factors, including the radar gun being set to an incorrect sensitivity, the speed of the ball being too high for the radar gun to accurately measure, or the radar gun not being able to accurately detect the speed of the ball due to environmental factors such as wind or lighting.
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To prepare for wrestling season, Tommy wants to eat 24 grams of protein at breakfast. He knows that there are 3 grams of protein in a slice of bacon and 6 grams of protein in an egg. Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat.
Write an equation that relates the number of slices of bacon to the number of eggs he will eat, assuming he eats exactly 24 grams of protein. **Rewrite your equation in slope-intercept form.
Answer:
1) The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is;
3·x + 6·y = 24
2) The equation in slope and intercept form is;
y = 4 - 0.5·x
Step-by-step explanation:
1) The given parameters are;
The amount of protein Tommy wants to eat for breakfast = 24 grams
The quantity of protein in a slice of bacon = 3 grams
The quantity of protein in an egg = 6 grams
Let x represent the number of slices of bacon he will eat and let y represent the number of eggs he will eat
The equation that represents the number of slices of bacon to the number he will eat, assuming he eats 24 grams is given as follows;
3·x + 6·y = 24
2) The equation in slope and intercept form is given by making y the subject of the above equation as follows;
3·x + 6·y = 24
6·y = 24 - 3·x
y = 24/6 -1/2·x
y = 4 - 0.5·x, which is in the slope and intercept form y = m·x + c
Where;
m = The slope = -0.5
c = The y-intercept = 4