The measures of the angles that are congruent in the kite are 65° and 105°.
A kite has angle measures of 7x°, 65°, 85°, and 105°. To determine the value of x, we must first determine the value of the angle that is congruent.
Since a kite has two pairs of congruent angles, we can start by determining the pair of angles that is congruent.
7x° + 65° + 85° + 105° = 360°.
Combine like terms 7x° + 255° = 360°.
Subtract 255 from both sides 7x° = 105°.
Divide both sides by 7, x = 15° .
The two angles that are congruent are 65° and 85°, since they are opposite angles in the kite. The measures of the angles that are congruent are 65° and 85°.
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if the mu/p ratio for pizza is less than the mu/p ratio for soda, this means that ___A. an individual is receiving more utility per dollar from soda than pizzaB. the price of pizza is lower than the price of sodaC. the price of pizza is lower than the price of cokeD. the MU of pizza is lower than the MU of soda
If the mu/p ratio for pizza is less than the mu/p ratio for soda, this means that an individual is receiving more utility per dollar from soda than pizza (Option A).
In other words, the marginal utility of spending one more dollar on soda is greater than spending one more dollar on pizza. This doesn't necessarily mean that the price of pizza is lower than the price of soda (Option B) or that the price of pizza is lower than the price of coke (Option C), as the prices of the two goods could be equal or have different relative prices. It also doesn't mean that the MU of pizza is lower than the MU of soda (Option D), as the MU of each good could be different regardless of their price ratios.
The final answer is: Option A
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Describe the transformation(s) of the parent function f(x)
k(x) = -2 f(-x)
We reflect it about the x axis and stretch it by -2 in the y direction
The vertex form of a quadratic equation is: y = a(x - h)² + k where
a is the vertical stretch
-a is a reflection over the x-axis
(h, k) is the vertex
--> h is the horizontal shift (positive is RIGHT, negative is LEFT)
--> k is the vertical shift (positive is UP, negative is DOWN)
reflect it about the x axis and stretch it by 2 in the y direction
k(x) = -2 f(-x)
y = −f(x) Reflects it about x-axis
y = Cf(x) C > 1 stretches it in the y-direction
Therefore, we reflect it about the x axis and stretch it by -2 in the y direction
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(b) Simplify algebraically (i), and prove or disprove algebraically (ii) and (iii). (6%) i. XY' +Z+ (X' + Y)Z' ii. D(A + B)(A + B')C = ACD iii. (a + b)(b + c)(c + a) = (a'+ b')(b' + c')(c' + a')
1) XY' + Z + X'Z' + YZ'
2) equation 2 is correct.
3) equation 3 is incorrect .
1)
Simplifying algebraically,
XY' +Z+ (X' + Y)Z'
So,
XY' + Z + X'Z' + YZ'
2)
D(A + B)(A + B')C
Simplifying,
(AD + DB) (A + B')C
Further,
ADC + AB'CD + ABCD + BB'CD
ACD + ABCD + AB'CD
= ACD
Thus equation 2 is correct .
Hence proved .
3)
(a + b)(b + c)(c + a) = f1
Simplifying further,
abc + ab + bc + ac = f1
Let f2 = (a'+ b')(b' + c')(c' + a')
Simplify further,
f2 = a'b'c' + a'b' + b'c' + a'c'
Here,
f1 ≠ f2
Thus we disprove equation 3 .
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Triangle A'B'C' is the image of triangle ABC.
There are 108 identical plastic chips numbered 1 through 108 in a box. What is the probability of reaching into the box and randomly drawing a chip number that is greater than 44? Express your answer as a simplified fraction or a decimal rounded to four decimal places.
You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 90% confident that the sample percentage is within 5.5 percentage points of the true population percentage. Complete parts (a) and (b) below. a. Assume that nothing is known about the percentage of passengers who prefer aisle seats. nequals nothing (Round up to the nearest integer.) b. Assume that a prior survey suggests that about 31% of air passengers prefer an aisle seat. nequals nothing
Answer:
A)n= 703.96
B)n= 602.308
Step by step Explanation:
Given that you want to be 99% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
Then z/2 = 1.645
And M = 3.1% = 0.031
A)Nothing is known therefore,
p = q = 0.50
E=0.031
For 90% confidence, z = 1.645
n = (zα/₂)²(p)(1-p)/M²
n= 1.645²× 0.5 × 0.5/0.031²
n= 703.96
Therefore, 703.96randomly selected air passengers must be surveyed to be 99%
B)we know that recent surveys surgest that about 38% of all air passengers prefer an aisle seat, thus p = 35% = 0.35
n = (zα/₂)²(p)(1-p)/M²
n= (1.645²× 0.31 × 0.69)/0.031²
n= 602.308
Hence, 602.308 randomly selected air passengers must be surveyed to be 90% confident that the sample percentage is within 3.1 percentage points of the true population percentage.
Solve 3(2m + 1) − 3m = −12. m = −5 m equals negative 13 over 3 m equals negative 15 over 6 m = −0.33
The value of m from the given equation is -5. Therefore, option A is the correct answer.
The given equation is 3(2m+1)-3m=-12.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
A general rule for equation solving:
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The given equation can be solved as follows:
6m+3-3m=-12
⇒ 3m+3=-12 (Subtract the like terms)
⇒ 3m=-12-3 (Transpose 3 to other side of the equation)
⇒ 3m=-15
⇒ m=-15/3 (Transpose 3 to other side of the equation)
⇒ m=-5
The value of m from the given equation is -5. Therefore, option A is the correct answer.
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Answer:
m=-5
Step-by-step explanation:
5. Amy has 10 yd of fence to put around a tree. She uses all the fence to make six
sections that are the same length. Which expression does NOT equal the length of one
of these sections in yards?
Answer: See explanation
Step-by-step explanation:
You didn't give the options but let me help out.
From the question, we are informed that Amy has 10 yd of fence to put around a tree and that she uses all the fence to make six sections that are the same length.
The expression that will be equal to the length of one of these sections in yards will be:
= 10 yards / 6
= 1.67 yards or 1 2/3 yards
This means that any option that you see that is different from the answer above will be the answer based on your question.
Zane's cats love tuna fish, so he always mixes a little into their food at dinnertime. For his small cat, he adds 2 ounces of tuna fish to 10 ounces of cat food. For his large cat, he adds 3 ounces of tuna fish to 12 ounces of cat food. Which cat's meal tastes more like tuna fish?
Large cat's meal tastes more like tuna fish
A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
Zane's cat loves tuna fish
so he adds 2 ounces of tuna fish to 10 ounces of cat food for small cat
and he adds 3 ounces of tuna fish to 12 ounces of cat food for large cat
to know whose meal tastes as tuna fish calculate their percentages
for small cat 2% is added to 10%
that means (2/12)*100=16.6
for large cat 3% is added to 12%
that means (3/15)*100=20
by this we can conclude that, large cat's meal tastes more like tuna fish
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1. The Lewis dot structure does not involves a.ionic compounds b.polyatomic ions c.covalent compounds d. polar covalent e.compounds. 2. Write the number of bonds a carbon atom must have in a dot structure with more than two atoms. 3.Acidic hydrogen(s) in an oxoacid is/are connected to _________________ atom(s).(Write the name of the atom.)
1. The Lewis dot structure is a representation of the valence electrons in an atom or molecule using dots. It helps us understand how atoms bond together to form compounds. The Lewis dot structure can be used for a variety of compounds, including ionic compounds, covalent compounds, and polar covalent compounds. Therefore, options a, b, c, d, and e are all valid inclusions for the Lewis dot structure.
2. In a dot structure with more than two atoms, a carbon atom can form multiple bonds. The number of bonds a carbon atom must have depends on the number of valence electrons it needs to complete its octet. Carbon has four valence electrons, so it can form up to four covalent bonds with other atoms to complete its octet.
3. In an oxoacid, acidic hydrogen atoms are connected to oxygen atoms. Oxoacids are acids that contain oxygen, hydrogen, and another element. The acidic hydrogen atoms are bonded to the oxygen atoms and can dissociate to release hydrogen ions (H+) in water.
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One more, again I aplolgize!
Identify the solid.
A.
pentagonal prism
B.
dodecahedron
C.
hexahedron
D.
hexagonal prism
Answer:
I would say it is D
Step-by-step explanation:
What is the base in 2^8 *
Answer:
For a single digit in base 8, we need up to three digits in base 2. For two digits in base 8, we need 4, 5, or 6 digits in base 2. For three digits in base 8, we need 7, 8, or 9 digits in base 2.
Step-by-step explanation:
Answer:
Base = 2
Step-by-step explanation:
2⁸
Here 2 is the base and 8 is the exponent
calculate the taylor polynomials 2 and 3 centered at =0 for the function ()=16tan().
Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
To find the Taylor polynomials centered at x = 0 for the function f(x) = 16tan(x), we can use the Taylor series expansion for the tangent function and truncate it to the desired degree.
The Taylor series expansion for tangent function is:
tan(x) = x + (1/3)x^3 + (2/15)x^5 + (17/315)x^7 + ...
Using this expansion, we can find the Taylor polynomials of degree 2 and 3 centered at x = 0:
Degree 2 Taylor polynomial:
P2(x) = f(0) + f'(0)(x - 0) + (1/2!)f''(0)(x - 0)^2
= 16tan(0) + 16sec^2(0)(x - 0) + (1/2!)16sec^2(0)(x - 0)^2
= 0 + 16x + 8x^2
Degree 3 Taylor polynomial:
P3(x) = P2(x) + (1/3!)f'''(0)(x - 0)^3
= 0 + 16x + 8x^2 + (1/3!)(48sec^2(0)tan(0))(x - 0)^3
= 16x + 8x^2
Therefore, the Taylor polynomials of degree 2 and 3 centered at x = 0 for the function f(x) = 16tan(x) are:
P2(x) = 16x + 8x^2
P3(x) = 16x + 8x^2
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Help with Math homework 8\(19−4c=17\)th grade
19 - 4c = 17
Solution:-4c = 17 - 19
or, c = -2/-4
or, c = 1/2
Answer:c = 1/2
(PLEASE HELP)(THIS IS MIDDLE SCHOOL LEVEL EASY!) What is the surface area of the box
Answer:
C) 42 square cm
Step-by-step explanation:
each rectangle 2x3 = 6
each square 3x3 =9
4 rectangles 4x6 = 24
2 squares 2x9=18
24+18 = 42
A rectangular garden has a perimeter of 578 yds.
The length is one more than three times the width.
Find the dimensions of the garden.
Answer:
Width (w) = 72 yds
Length (L) = 217 yds
Step-by-step explanation:
Let L represent the length.
Let w represent the width.
From the question given above:
Perimeter (P) = 578 yds.
Length (L) is one more than three times the width (w). This can be written as. Follow:
three times the width (w) = 3w
Therefore, the length (L) is given by:
L = 1 + 3w
Next, we shall determine the value of length (L) and width (w). This can be obtained as follow:
Recall:
Perimeter of rectangle is given by:
P = 2(L + w)
P = 2L + 2w
Perimeter (P) = 578 yds.
Length (L) = 1 + 3w
Width (w) = w
P = 2L + 2w
578 = 2(1 + 3w) + 2w
Clear bracket
578 = 2 + 6w + 2w
578 = 2 + 8w
Collect like terms
578 - 2 = 8w
576 = 8w
Divide both side by 8
w = 576/8
w = 72
Therefore, the width is 72 yds
L = 1 + 3w
w = 72
L = 1 + 3(72)
L = 1 + 216
L = 217
Therefore, the length is 217 yds.
The dimensions of the garden is given below:
Width (w) = 72 yds.
Length (L) = 217 yds.
Determine the volume of the picture below. Please help
Answer:
6825 in
Step-by-step explanation:
Since the shape is a composite figure, we need to break it up into 2 shapes!
Rectangle and a triangular prism
Solving for Rectangle...
Volume = Length · Width · Height
Volume = 30 · 13 · 13
Volume = 5070 in
Solving for Triangular Prism
Volume = Length · Width · Height / 2
Volume = 30 · 9 · 13 / 2
Volume = 3510/2
Volume = 1755 in
Finally, add the volumes!
5070 + 1755 = 6825 in
My sister is 16 years old. My brother says that his age minus fifteen is equal to my sister's age. How old is my brother?
Enter an equation, using b as your variable, to find how old my brother is.
The equation is
My brother is
years old.
Answer:
b-15=16
31
Step-by-step explanation:
Because if your sister is 16 and your brother is that age minus 15 that is her sister's age which means his age (variable); minus how much older: equals her age
Give the slope of y+2=3(x-7) and point on the line
Step-by-step explanation:
y+2=3(x-7)
y+2=3x-21
y=3x-21-2
y= 3x-23
Slope is 3
Answer:
Slope intercept form;
y = mx + b
Where y is the independent variable, and x is the dependent variable, 'm' represents the slope and 'b' represents the y intercept.
We are given;
y + 2 =3(x - 7)
So we rearrange this into slope intercept form.
y + 2 = 3(x - 7)
Simplify:
y + 2 = 3x - 21
Apply inverse operation of addition (subtraction).
-2 -2
y = 3x - 23
put the numbers and fractions in order: 5; 4/5; 1,04; 2,3(4); -8/4; -1/3
Answer:
be sure the force is velocity and again vo ahead
Compute 123 × 45 + 246 × 30 + 369 × 15.
Answer:
Step-by-step explanation: 123 × 45 + 246 × 30 + 369 × 15.= 18450
a telephone company charges $0.50 for the first 5 minutes of a call and $0.09 for each additional minute. which interval below represents how a person can talk for $3 (assume that a person cannot talk for a fraction of a minute)?
On solving the provided question, we can say that by equation 15+4 = total minutes, they can talk 19 minute
What is equation?An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.
x= total minutes -4 the 1st 4 minutes are included in the .30
total cost = .3 + .18 x
\(3 = .3 +.18 x\\2.7 = .18x\\2.7/.18 = x\\15 = x\)
x = total minutes -4
15+4 = total minutes
they can talk 19 minute
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Find the solution to the following system of equations: 3x 2y = 7 x = 6 3y group of answer choices
The solution to the system of equations is x = 9/7 and y = 11/7.
The given system of equations is:
3x + 2y = 7 (Equation 1)
x = 6 - 3y (Equation 2)
To find the solution, we will substitute the value of x from Equation 2 into Equation 1.
Substitute x = 6 - 3y into Equation 1:
3(6 - 3y) + 2y = 7
Now, simplify the equation:
18 - 9y + 2y = 7
-7y = 7 - 18
-7y = -11
Next, solve for y by dividing both sides by -7:
y = (-11) / (-7)
y = 11/7
Now that we have the value of y, we can find the value of x using Equation 2:
x = 6 - 3(11/7)
Calculate x:
x = 6 - 33/7
x = 42/7 - 33/7
x = (42 - 33) / 7
x = 9/7
So, the solution to the system of equations is x = 9/7 and y = 11/7.
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The solution (x, y) = (6, -11/2) should be selected.
To find the solution to the system of equations:
3x + 2y = 7 (Equation 1)
x = 6 (Equation 2)
We can substitute the value of x from Equation 2 into Equation 1:
3(6) + 2y = 7
Simplifying the equation:
18 + 2y = 7
Subtracting 18 from both sides:
2y = 7 - 18
2y = -11
Dividing both sides by 2:
y = -11/2
So the value of y is -11/2.
Now, substitute the value of y into Equation 2 to find the value of x:
x = 6
Therefore, the solution to the system of equations is x = 6 and y = -11/2.
In the given group of answer choices, the solution (x, y) = (6, -11/2) should be selected.
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if sec >0 and sin <0, in which quadrant does lie manhasset
Quadrants are the four regions of the Cartesian plane that are separated by the x-axis and the y-axis. They are numbered counterclockwise starting from the positive x-axis, which is also known as the 0-degree axis. Therefore, if sec >0 and sin <0, the point lies in the fourth quadrant.
The first quadrant is where both the x and y coordinates are positive, the second quadrant is where the x coordinate is negative and the y coordinate is positive, the third quadrant is where both the x and y coordinates are negative, and the fourth quadrant is where the x coordinate is positive and the y coordinate is negative.
To determine in which quadrant a point lies based on the signs of the trigonometric functions, we can use the following rules:
If sin > 0 and cos > 0, the point lies in the first quadrant.
If sin > 0 and cos < 0, the point lies in the second quadrant.
If sin < 0 and cos < 0, the point lies in the third quadrant.
If sin < 0 and cos > 0, the point lies in the fourth quadrant.
In this case, we are given that sec > 0 and sin < 0. We know that sec is the reciprocal of cos, so sec > 0 implies that cos > 0. We also know that sin < 0, which means that the y coordinate of the point is negative.
Based on the rules above, we can conclude that the point lies in the fourth quadrant. This is because sin is negative (so the point is below the x-axis) and cos is positive (so the point is to the right of the y-axis), which is the condition for a point to lie in the fourth quadrant.
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When solving x² - 10x-13-0 by completing the square, which equation is a step in the
process?
1) (x - 5)² = 38
2) (x - 5)² = 12
3) (x-10)² = 38
4) (x-10)² = 12
Answer:
1)
Step-by-step explanation:
\( {(x - 5)}^{2} = 38\)
The required step solving the equation using Completing the square method is (x - 5)² = 38.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
We have the Equation: x² - 10x-13 = 0
Now, half the coefficient of x and add and subtract the square of the half of the coefficient of x.
So, x² - 10x-13 = 0
x² - 10x-13 -5² + 5² = 0
(x - 5)² - 25 - 13 = 0
(x-5)² -38= 0
(x - 5)² = 38
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help mepls lol asap !!
Answer:the answer is 3/1
Step-by-step explanation:It is 3/1 because if you look at the graph you can see when the blue line is actually on the line when it is you count down till you see it again which I counted down to three I then have to count to the right or left I got one because it was one to the left. Don’t forget rise/run.
An orange weighs 36 grams. If you buy 10 oranges and they sell for $4.25 per kilogram, how much will they cost?
Answer:
$1.53
Step-by-step explanation:
Weight of orange = 36 grams
Number of oranges purchased = 10
Total grams of oranges purchased :
Weight per orange * number of oranges
36 grams * 10 = 360 grams
Selling price per kg = $4.25
Price per gram = $4.25 / 1000 = $0.00425 per gram
Selling price of 360 g :
360 * $0.00425
= $1.53
The figure is cut into 8 equal pieces. Shade 1/2 of the figure.
Select the best real-world situation that can be represented by 12 + = 13.50. Group of answer choices Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers? Rachel earns $12 per hour. How long does it take her to earn $13.50? Jane has $13.50 to spend. How many roses can she buy if they are $12 each? Sarah has $12 in her checking account, but has written a check for $13.50. How much is she overdrawn?
Answer:
Mary wants to buy flowers and perfume. She has $13.50 to spend, but has already spent $12 on perfume. How much does she have left to spend on flowers?
Step-by-step explanation:
12 + c = 13.50
OpruonnA seems to be the best, hence, Breaking down in real world terms :
13.50 = total cost
Number of variables added to make up total cost = 2 ; this represents the cost of the 2 items purchased ; flowers and perfume
Cost of perfume = 12
Cost of flowers = c
Total cost of items = $13.50
a trapezoid has a perimeter of 14 feet. what will the perimeter be if each side length is increased by a factor 7?