Answer:
0.25
Step-by-step explanation:
Answer:
→1/4 as a decimal is 0.25
(I hope you get this answer correct, and also hope you have a great day or night! :)).
Multiply both polynomials together
Answer:
6x + 11x - 10
Step-by-step explanation:
So in order to solve this expression, we have to distribute the numbers in each set of parenthasis
Step 1 : break down each mini-espression you're solving
(2x+5)(3x-2)
each term is multiplied by both terms in the other set of parenthasis.
(2x · 3x) + (2x · -2) + (5 · 3x) + (5 · -2)
Step 2 : Solve each idividual piece
(2x · 3x) = 6x²
(2x · -2) = -4x
(5 · 3x) = 15x
(5 · -2) = -10
Step 3 : Put it all together amd simplify
6x² - 4x + 15x - 10
6x² + 11x - 10
If DE bisects <ABC.find the value of x if m<ABC=7x+29 and m<DBC=99°
Answer:
19
Step-by-step explanation:
If DE bisects <ABC, this means that <ABE = <EBC
Also <DBC+<EBC = 180
99+<EBC = 180
<EBC = 180-99
<EBC = 81
Also <ABC =<ABE+<EBC
<ABC =<EBC+<EBC
7x+29 = 81+81
7x = 162-29
7x = 133
x = 133/7
x = 19°
Hence the value of x is 19°
GEOMETRY
determine whether each pair of triangles is similar. give details about each set of sides or angles. give the theory used. write a similarity statement.
The triangles WYC and YXZ are similar by the Angle-Side-Angle Congruence Theorem.
What is the Angle Side Angle Congruence Theorem?The Angle-Side-Angle (ASA) Congruence Theorem is a postulate in geometry that states that if two triangles have two angles and the included side of one triangle congruent to the corresponding two angles and included side of another triangle, then the two triangles are congruent.
Triangle YXZ is formed from a reflection and then a dilation of the triangle WVZ, then the relations between the angles are given as follows:
m < W = m < Z.m < V = m < Y.The side lengths WV and YZ, which are the side lengths between these two angles, form a proportional relationship, hence the triangles WYC and YXZ are similar by the Angle-Side-Angle Congruence Theorem.
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what is the value of the 4 in the number 17.884 as a fraction
Answer:
It is in the thousandths place
Step-by-step explanation:
To the right of the decimal, it goes in the order of tenths, hundredths, thousandths... In this case, it's the third value to the right and would fall in the thousandths place.
Hope this helps :)
For each of the following functions, evaluate: f(-4), f(-2), f(0), f(2), and f(4)
17.)f(x)=3x-7
19.) ƒ(x)=−2x²+5x+1
What is the measure of angel B in degrees?
Answer:
B) 32 degrees
Step-by-step explanation:
Firstly, identify that the sum of the interior angles of a triangle always equals 180 degrees. By looking at the side of angle A and C, we notice they are equal, which means the measure of the angles are equal. So 74 degrees plus 74 degrees equals 148 degrees. 180 degrees minus 148 degrees equals 32, which is the measure of angle B. Let me know if you have any further questions.
please help 15 pointssssss
Which one is it
Answer:
D
Step-by-step explanation:
x = 8
5×8=40
40-6=34
34+57+89=180
angles of a triangle is equal to 180 degrees
Hope this helps
Kind Regards
Farah Syed
Larry wants to cater his parent's 50th anniversary party. He plans on inviting 225 adults and 25 children. The caterer charges $9.75 per adult and $6.95 per child. Punch for the entire party will cost $75. Dessert is an additional $2.25 per person. Sales tax adds 7.5%. An 18% gratuity is added to the bill before tax. What is the total cost of the catered party?
The total cost of the catered party, including sales tax and gratuity, is $3,716.70.
To solve this problem
First, let's calculate the cost of catering for the adults:
225 adults * $9.75 per adult = $2,193.75
Next, let's calculate the cost of catering for the children:
25 children * $6.95 per child = $173.75
Now, let's calculate the cost of dessert for everyone:
250 total guests * $2.25 per person = $562.50
Let's add up the cost of catering and dessert:
$2,193.75 (adults) + $173.75 (children) + $562.50 (dessert) = $2,930
Now, let's calculate the sales tax:
$2,930 * 0.075 (7.5%) = $219.75
Let's add the sales tax to the total:
$2,930 + $219.75 = $3,149.75
Now, let's calculate the gratuity:
$3,149.75 * 0.18 (18%) = $566.95
Let's add the gratuity to the total:
$3,149.75 + $566.95 = $3,716.70
Therefore, the total cost of the catered party, including sales tax and gratuity, is $3,716.70.
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find the critical value(s) and rejection region(s) for the indicated t-test, level of significance , and sample size n. right-tailed test, a= 0.10 , n=5
The critical value for this right-tailed t-test with a level of significance of 0.10 and a sample size of 5 is 1.533, and the rejection area is t > 1.533.
To find the critical value(s) and rejection region(s) for the right-tailed t-test with a level of significance α = 0.10 and sample size n = 5, follow these steps:
1. Determine the degrees of freedom (df): df = n - 1, where n is the sample size. In this case, df = 5 - 1 = 4.
2. Identify the level of significance (α): α = 0.10.
3. Look up the critical value in a t-distribution table using the degrees of freedom (df) and level of significance (α). For df = 4 and α = 0.10, the critical value (t*) is approximately 1.533.
4. Determine the rejection region: Since this is a right-tailed test, the rejection region is t > t*, or t > 1.533.
In summary, the critical value for this right-tailed t-test with a level of significance of 0.10 and a sample size of 5 is 1.533, and the rejection region is t > 1.533.
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\(\frac{1-(-5)}{7-2}\)
Answer:
2
Step-by-step explanation:
what is the rate of change of the function y=4x-2
Answer: 4
Step-by-step explanation: x is multiplied by 4
There is a elephant shaped weather vane at the top of a corn dryer tower that is 45 m high. If the weather vane weighs 190 N, what is the Potential Energy that the wether vane has?
Answer:
Potential Energy = 8550 Joules
Step-by-step explanation:
The potential energy of the body is the energy possessed by it due to its position therefore:
Potential energy = mgh
m = mass of the body measured in kg
g= acceleration due to gravity
h= height or distance measured in meters
But in the question asked we are not given mass but weight so
w= mg measured in newtons
We have
w= 190 N
h= 45m
PE= mgh
PE = w h= 190 * 45 = 8550 J
The unit of energy is Joule.
How do I get the third mark have I done something wrong?
Answer:
C (- 4, - 2 )
Step-by-step explanation:
(c)
the x- coordinate of A is - 4
the y- coordinate of B is - 2
coordinates of C = (- 4, - 2 )
Line N passes through the points (-1,4) and (-1,-4)Which is true of line N?
Answer:
Line N is a vertical line with an undefined slope
Step-by-step explanation:
To find slope we do (y2-y1)/(x2-x1)
So we do that with (-1,4) and (-1,-4)
(-4-4)/(-1-(-1))
-8/0
Since the denominator is 0, that means the slope is undefined because you cannot divide by 0
Can you pls help me with this
Answer:
height will be 336tsqaure
Which of the following would be equivalent to
113
117
117
O 11. 114
115
011
9514 1404 393
Answer:
11·11^4
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a = a^1
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . . for any 'a' not 0
__
The given expression is ...
(11^8)/(11^3) = 11^(8-3) = 11^5
The offered choices are ...
(11^7)/(11^7) = 11^(7-7) = 11^0 = 1
11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression
(11^0)/(11^5) = 11^(0-5) = 11^-5
11^0 = 1
PLEASE HURRY, LIMITED TIME EARLY!!!
Question-The center of circle A with equation (x – 7)2 + (y – 1)2 = 16 is mapped to the center of circle B with equation (x + 8)2 + (y – 2)2 = 16. Determine the translation needed for this mapping.
Answers-
A. (x, y) ⟶ (x - 15, y + 1)
B. (x, y) ⟶ (x - 12, y + 9)
C. (x, y) ⟶ (x - 8, y + 2)
D. (x, y) ⟶ (x + 15, y - 1)
The solution is Option A.
The translation of the center of circle is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
What is a Circle?A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
Given data ,
Let the equation for the circle A be represented as
( x - 7 )² + ( y - 1 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( 7 , 1 )
Let the equation for the circle A be represented as
( x + 8 )² + ( y - 2 )² = 16
Now , the equation is of the form ( x - h )² + ( y - k )² = r²
So , the radius of the circle is 4 and the center of the circle is ( -8 , 2 )
So , the translation of circle A to B is given by
( 7 , 1 ) to ( -8 , 2 )
So , the x coordinate is translated by 15 units to left and the y coordinate is translated by 1 unit up
Hence , the translation is given by ( x , y ) ⟶ ( x - 15 , y + 1 )
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prove(sec theta-tan theta)(sec theta+tan theta)=1
Answer:
\(( \sec \theta - \tan \theta)( \sec \theta + \tan \theta)\)
from difference of two squares:
\({ \boxed{ \tt{( {a}^{2} - {b}^{2}) = (a - b)(a + b) }}}\)
\( = { \sec }^{2} \theta - { \tan}^{2} \theta \\ = (1 + { \tan}^{2} \theta) - { \tan}^{2} \theta \\ = 1\)
hence proved
In a crowded arena, you notice that when others laugh, clap, or cheer on the speaker, you are more likely to follow along with their actions. This demonstrates the theory of __________. Group of answer choices
This behavior demonstrates the theory of social contagion, where individuals are influenced by the actions and emotions of others in a social setting.
The theory of social contagion suggests that individuals in a social setting can be influenced by the emotions, behaviors, and actions of those around them. When people laugh, clap, or cheer in a crowded arena, it creates a contagious atmosphere where the emotions and behaviors spread rapidly among the individuals present. This phenomenon can be attributed to various psychological mechanisms, such as conformity, social facilitation, and emotional contagion.
Conformity plays a role in this scenario, as individuals have a natural tendency to conform to the norms and expectations of the group. When others laugh, clap, or cheer, it signals social approval and acceptance of the speaker's performance. Consequently, individuals may feel inclined to join in, even if they do not genuinely find the speaker entertaining or compelling.
Social facilitation also contributes to this behavior. The presence of a large crowd can heighten arousal and increase individuals' performance on simple or well-practiced tasks. In this case, clapping, laughing, or cheering are relatively easy actions that require minimal cognitive effort, making it more likely for individuals to engage in these behaviors.
Emotional contagion is another factor at play. Humans are wired to empathize and connect with others emotionally. When people around us display positive emotions, such as laughter or excitement, we tend to "catch" those emotions and experience them ourselves. This emotional contagion further reinforces the tendency to follow along with the crowd's actions.
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Leonie bought a hat and coat.
The hat cost £6.
She sold both items for a total of £45
Leonie made a 300% profit on the hat and a 125% profit on the total cost.
Work out her percentage profit on the cost of the coat.
Leonie made a percentage profit of approximately 225% on the cost of the coat.
To determine Leonie's percentage profit on the cost of the coat, we need to calculate the individual costs of the hat and coat, as well as the total cost. Then we can calculate the overall profit and use it to find the percentage profit on the coat.
Given:
Cost of the hat = £6
Total selling price of hat and coat = £45
Let's assume the cost of the coat as C.
Since Leonie made a 300% profit on the hat, the selling price of the hat would be 300% more than the cost of the hat:
Selling price of the hat = Cost of the hat + (300% of the cost of the hat)
= £6 + (300/100) * £6
= £6 + £18
= £24
Now, we can calculate the total cost of the hat and coat:
Total cost = Cost of the hat + Cost of the coat
= £6 + C
Since Leonie made a 125% profit on the total cost, the selling price of the hat and coat would be 125% more than the total cost:
Selling price of hat and coat = Total cost + (125% of the total cost)
= (£6 + C) + (125/100) * (£6 + C)
= (£6 + C) + (1.25) * (£6 + C)
= (£6 + C) + 1.25C + 1.25 * £6
= (£6 + C) + 1.25C + £7.5
= £13.5 + 2.25C
Given that the total selling price of the hat and coat is £45, we can set up the equation:
£13.5 + 2.25C = £45
Simplifying the equation, we have:
2.25C = £45 - £13.5
2.25C = £31.5
Dividing both sides by 2.25, we find:
C = £14
Now, we can calculate the profit on the cost of the coat:
Profit on the coat = Selling price of the coat - Cost of the coat
= (£13.5 + 2.25C) - C
= (£13.5 + 2.25 * £14) - £14
= £13.5 + £31.5 - £14
= £31.5
To find the percentage profit on the cost of the coat, we divide the profit by the cost of the coat and multiply by 100:
Percentage profit on the coat = (Profit on the coat / Cost of the coat) * 100
= (£31.5 / £14) * 100
≈ 225%
Therefore, Leonie made a percentage profit of approximately 225% on the cost of the coat.
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The wildcats soccer team won 12 out of 14 games. If this rate continues, how many games will they have played if the won 18 times?
Answer:
the would have played 21 games
Step-by-step explanation:
18/(12/14)=21
Graph h(x) = 4|x + 4|+3.
Answer:
Use a graphing calculator.
Step-by-step explanation:
Use at least 3 points to graph.
Use a graphing calculator
Evaluate: 17 - |2 - y| × 2 if y = -2
Answer:
9
Step-by-step explanation:
17 - |2 - y| × 2
17 - |2 - (-2)| × 2
17 - |2 +2| × 2
17 - |4| × 2
17 - 4 × 2
17 - 8
9
What is the result when 12x2-7y2 is added by -10x2+y2?
A.2x2-6y2
B.2x2+6y2
C.-2x2-8y2
D.-2x2+8y2
Answer:
A
Step-by-step explanation:
12x² - 7y² - 10x² + y² = 12x² - 10x² - 7y² + y²
= (12 - 10)x² + (-7 + 1)y²
= 2x² + (-6y²)
= 2x² - 6y²
Suppose that we are interested in the mean and standard deviation of the average size of a
family in Canada, whose distribution is skewed. In 2018, the average size of a Canadian family was 2.8 with a standard deviation of 1.72.
A If we randomly choose 11 families, could we use the normal model (distribution] to find the probability that families have more than 6 peopele, on average?
O A. No since we would also need to know how many familes responded to the survey
O B. No since the distribution is showed
O C. Yes since the distribution is skowed
O D. Yous 11 - 15
B. For a random sample of 79 families, what would the mean and standard deviation for the sampling distribution of the average family wire bay Choose your arawer from the list below
O A. mean = 0.04, standard deviation = 1,72
Q B. mean = 0:04, standard deviation = 0.19
O C. mean = 2 8, standard deviation = 25
O D. mean = 2 8, standard deviation = 1.72
O'E. mean = 2.8, standard deviation = 0,19
C. For a random sample of 79 families, is the sample size assumption for the central limit theorem satisred? Choose your anwar from the lit below.
O A. Yes, since the sample size is greater than 40.
O B. You, since 79 is less than 10% of the size of the population,
Q C. Unsure since we don't have a histogram of the data.
O D. No, since the distribution is showed.... Show more"
A. B. No, since the distribution is skewed. B. D. mean = 2.8, standard deviation = 1.72. C. A. Yes, since the sample size is greater than 40.
How to determine the If we randomly choose 11 families, could we use the normal modelA. If we randomly choose 11 families, could we use the normal model (distribution) to find the probability that families have more than 6 people, on average?
The correct answer is B. No, since the distribution is skewed. When the distribution is skewed, it indicates that the data does not follow a symmetric pattern. In such cases, using the normal model may not be appropriate as it assumes a symmetric distribution. Skewed distributions require alternative methods or models for analysis.
B. For a random sample of 79 families, what would be the mean and standard deviation for the sampling distribution of the average family size?
The correct answer is D. mean = 2.8, standard deviation = 1.72. When sampling from a population, the mean of the sampling distribution will be equal to the population mean, and the standard deviation of the sampling distribution will be equal to the population standard deviation divided by the square root of the sample size.
C. For a random sample of 79 families, is the sample size assumption for the central limit theorem satisfied?
The correct answer is A. Yes, since the sample size is greater than 40. According to the central limit theorem, when the sample size is sufficiently large (typically considered greater than 30 or 40), the sampling distribution of the sample mean will approach a normal distribution, regardless of the shape of the population distribution. Therefore, in this case, the sample size assumption for the central limit theorem is satisfied.
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the path of a projectile launched from a 16-ft-tall tower is modeled by the equation y = −16t2 64t 16. which is the correct graph of the equation?
The graph is a downward-opening parabola opening downward with its vertex at (2,0). Therefore, the correct option is C.
The equation y = -16t^2 + 64t + 16 represents the path of a projectile launched from a 16-ft-tall tower. To determine the correct graph, we can analyze the equation. The coefficient of t^2 (-16) is negative, indicating a downward-opening parabola. The coefficient of t (64) determines the horizontal shift of the graph, and in this case, t = 4 represents the maximum height of the projectile. The constant term (16) represents the initial height of the tower.
Considering these factors, we find that the correct graph of the equation is option C. It depicts a downward-opening parabola with its vertex at (2,0). The parabola starts at an initial height of 16 ft (the tower's height) and descends symmetrically from its vertex.
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Is the following number rational or irrational?
(square root of 50)
Answer:
irrational
Step-by-step explanation:
\(\sqrt{50}\\\\=\sqrt{25*2}\\\\=\sqrt{5^{2}*2 } \\\\=5\sqrt{2}\)
so it's irrational
Irrational because its not an even number. If you try to do it you should get around 7.05
Which value would complete the table to make the relationhip between the two quantitie proportional?
x 1 2 3 4 5
y 26. 8 53. 6 ? 107. 2 134
The value that would complete the table to make the relationship between the two quantity proportional is 4.
what is quantity proportional?When two quantities are proportional, their relationship is constant for all values and as one quantity rises, the other rises as well.
A proportional relationship exists between two quantities if they can be written in the general form y = kx, where k is the proportionality constant. In other words, the ratio between these amounts never changes. In other words, no matter which pair of the two numbers you divide, you always obtain the same number k.
The value that would complete the table to make the relationship between the two quantity proportional is 4.
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verify that the vector xp is a particular solution of the given nonhomogeneous linear system.
x’ = (2 1 1 -1)x+(-5 2); x˅p = (1 3)
To verify that the vector xp is a particular solution of the given nonhomogeneous linear system, we need to substitute xp into the system and check if it satisfies the equation.
The given nonhomogeneous linear system can be written in the form x' = Ax + f, where A is the coefficient matrix (2 1 1 -1) and f is the constant vector (-5 2). The vector xp = (1 3) is a particular solution if it satisfies the equation x' = Ax + f.
Substituting xp into the equation, we get:
x' = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Therefore, the left-hand side of the equation is:
x' = (1 -1 2 -8)
And the right-hand side is:
Ax + f = (2 1 1 -1) (1 3) + (-5 2)
= (1 -1 2 -8)
Since the left-hand side is equal to the right-hand side, we can conclude that the vector xp = (1 3) is indeed a particular solution of the given nonhomogeneous linear system.
We have verified that the vector xp = (1 3) is a particular solution of the given nonhomogeneous linear system by substituting it into the equation and checking if it satisfies the equation.
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Justin is playing tennis. When serving, he stands 12 feet away from the net, which is 3 feet tall. The ball is served from a height of 7. 5 feet. Justin thinks the ball travels about 21. 4 feet before it hits the ground 8 feet from the net on the opposite side. A) How far does the ball travel? b) What assumptions did you make to solve the distance the ball travels? c) What mathematical practice did you use to solve this problem?
The ball travelled 12.8 ft before it reached the net.
Justin stands 12 ft away from the net. which is 3 feet tall. The ball is served from a height of 7. 5 feet. Justin thinks the ball travels about 21. 4 feet before it hits the ground 8 feet from the net on the opposite side.
We are being asked to find the distance the ball travelled before reaching the net which is represented by DA in the diagram. Since triangle DCE and triangle ABE are right angled triangles and the both share angle E, they are similar by the AA similarity theorem
Therefore,
BE/CE = AE/DE
8/(12+ 8) =AE/ (21.4)
8/20 = AE/21.4
2/5 = AE/21.4
AE = 21.4 x 2/5
AE = 8.6
Since, DE = DA + AE
21.4 = DA + AE
21.4 = DA + 8.6
DA = 12.8
The ball travelled 12.8 ft before it reached the net.
Therefore the ball travelled 12.8 ft before it reached the net.
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