Step-by-step explanation:
_1.5 because it is betwwen the _1 and _2
Triangle \triangle ABC△ABCtriangle, A, B, C is reflected across line nnn to create \triangle A'B'C'△A
′
B
′
C
′
triangle, A, prime, B, prime, C, prime.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
A triangle A B C. The length of side CA is sixty one units. The angle B is sixty seven degrees. The line n is to the right of triangle A B C. Triangle A prime B prime C prime is the image of triangle A B C after being reflected across line n. The length of side C prime B prime is fifty seven units. Angle A prime is fifty nine degrees.
What is the measure of \angle C∠Cangle, C?
Answer: \(54^{\circ}\)
Step-by-step explanation:
Because reflections are rigid motions, we know that \(\triangle ABC \cong \triangle A'B'C'\), and thus \(\angle B \cong \angle B'\).
It follows that since angles in a triangle add to 180 degrees, \(m\angle C'=180^{\circ}-59^{\circ}-67^{\circ}=\boxed{54^{\circ}}\)
The scatter plot shows the relationship between the number of coffee drinks sold and the total expenses of a coffee shop.
The slope of the line is....
The intercept of the line is.....
The regression equation is
For the linear function built from the scatter plot, it is found that:
The slope of the line is of: 5.The intercept of the line is of: b = 500.The equation is of: y = 5x + 500.What is a linear function?The slope-intercept representation of a linear function is the rule presented as follows:
y = mx + b
The coefficients of the function and their meaning are listed as follows:
m is the slope of the function, representing the change in the numeric value of the output variable y when the input variable x increases by one.b is the y-intercept of the function, which is the numeric value of the output variable y when the input variable x has a value of 0.From the graph, we have that when x = 0, y = 500, hence the intercept of the line is:
b = 500.
When the input increases by 200, the output increases by 1000, hence the slope is:
m = 1000/2 = 5.
Thus the equation is:
y = 5x + 500.
Missing InformationThe graph is given by the image at the end of the answer.
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A study was conducted of Long Beach School District schools regarding how
many require school uniforms. In 2006, of the 296 schools questioned, 184 said
they required school uniforms. (Gentile & Imberman, 2009) Find the proportion
of schools that require a school uniform.
The alternative hypothesis is Ha : μa ≠ μb Ha : μa - μb ≠ 0
Since they want to find out if the difference in the mean times spent studying by the students of the two schools is statistically significant, it means that it is a two directional test. Also called a two tailed test. The hypothesis would be as follows:
Null Hypothesis: There is no difference in the mean times spent by the schools' students.
Alternative Hypothesis: There is at least some difference in the mean times spent by the schools' students.
By using the appropriate symbols, it becomes
The null hypothesis is
H0 : μa = μb H0 : μa - μb = 0
The alternative hypothesis is
Ha : μa ≠ μb Ha : μa - μb ≠ 0
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Solve the proportion. StartFraction x + 1 Over x minus 1 EndFraction = StartFraction 14 Over 20 EndFraction a. Negative StartFraction 3 Over 17 EndFraction c. StartFraction 7 Over 10 EndFraction b. StartFraction 10 Over 7 EndFraction d. Negative StartFraction 17 Over 3 EndFraction
The value of x from the given expression is negative start fraction 17 over 3 end fraction
How to solve proportions?The given proportion is as follows;
x+1/x-1 = 14/20
we have to cross multiply
20(x + 1) = 14(x - 1)
open the brackets
20x + 20 = 14x - 14
subtract 14x from both sides
20x - 14x + 20 = 14x - 14x - 14
6x + 20 = -14
subtract 20 from both sides
6x + 20 - 20 = -14 - 20
6x = -34
divide both sides by 6
6x / 6 = -34 / 6
x = - 17 / 3
Hence the value of x from the given expression is negative start fraction 17 over 3 end fraction
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determine whether the function is even odd or neither
Answer:
neither
Step-by-step explanation:
If the graph is symmetric by the y-axis the function is even OR we can say that
f(x) = f(-x) for the function to be even
for f(3) = 2 and f(-3)= 2 works yet
for f(2) = 0 and f(-2) = 1 NOT an even function
f(-x) = -f(x) will make the function odd
f(-3) = 2 and -f(3) = -2 NOT an odd function
f(-x) ≠ -f(x) will make the function neither
f(-3) = 2 ≠ -f(3) = -2 the function is neither odd or even
Which investment option made the most money after 10 years?
Which option yielded the most total money by the time you were 60 years old?
Option 3 yielded the most money after 10 years is 171.7
Option 1 yielded the most total money by the time you were 60 years old is 8,771.56
Define the term solution of equation?A solution of an equation is a value or set of values that satisfy the equation, meaning that when the value(s) is substituted for the variable(s) in the equation, both sides of the equation are equal.
Based on the given equations, Option 1 yielded the most money after 10 years, and Option 3 yielded the most total money by the time you were 60 years old.
After 10 years:
Option 1: 50×(1.09)¹⁰ - 30 = 88.36
Option 2: 50×(1.08)¹⁰ - 20 = 87.94
Option 3: 100×(1.07)¹⁰ - 25 = 171.71
Therefore, Option 3 yielded the most money after 10 years is 171.7
By the time you were 60 years old:
Option 1: 50×(1.09)⁶⁰ - 30 = 8,771.56
Option 2: 50×(1.08)⁶⁰ - 20 = 5,042.85
Option 3: 100×(1.07)⁶⁰ - 25 = 5,769.64
Therefore, Option 1 yielded the most total money by the time you were 60 years old is 8,771.56
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Find the value of k so that (k+1)x +2y=6 has a slope of m=k-2
Find the value of k so that (k+1)x +2y=6 has a slope of m=k-2
we have the equaton
(k+1)x +2y=6
step 1
isolate the variable y
2y=-(k+1)x+6
Divide by 2 both sides
y=-[(k+1)/2]x+3
this is the equation of the line in slope intercept form
y=mx+b
where
the slope is
m=-(k+1)/2
equate the slope to (k-2)
-(k+1)/2=k-2
solve for k
-(k+1)=2k-4
-k-1=2k-4
2k+k=-1+4
3k=3
k=1A-6=13 answer........
Answer:
A = 19
Step-by-step explanation:
A - 6 = 13
19 - 6 = 13
A = 19
I hope this helps!
Answer:
19
Step-by-step explanation:
13 + 6 = 19
19 - 6 = 13
He ate 1/7 of a sandwhich at lunch and another 25% at dinner. What fraction of the sandwhich has he not eaten?
When He ate 1/7 of a sandwich at lunch and another 25% at supper, He did not finish 9 of the 14 sandwiches.
what is fraction ?A fraction can be used to symbolise a portion of a whole or a ratio of two quantities in mathematics. It has a horizontal strip separating the numerator (top number) from the denominator (bottom number). The numerator is the overall number of equally-sized parts that the whole is divided into, and the denominator is the number of those parts that are being taken into account. For instance, the fraction 3/4 denotes three of a whole that is made up of four equal portions. The numerator, 3, indicates that we are only taking into consideration three of the four equal portions that the denominator, 4, denotes. Depending on whether or not the numerator is less than or larger than, a fraction may be proper or improper.
given
Assume that the hamburger is cut into 1 complete piece.
He consumed 1/7 of the burger for lunch, making the remaining portion as follows:
1 - 1/7 = 6/7
He consumed 25% of the remaining sandwich at supper, which is:
(25/100) x (6/7) = 6/28 = 3/14
As a result, the amount of the meal he has not yet consumed is:
6/7 - 3/14 = (12/14) - (3/14) = 9/14
When He ate 1/7 of a sandwich at lunch and another 25% at supper, He did not finish 9 of the 14 sandwiches.
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Find the surface area of the composite figure. need help asap. Thank You
Answer: A=276.52 cm²
Step-by-step explanation:
To find the surface area of the figure, we can find the surface area of the rectangular prism and hemisphere. Then we would add them together.
Rectangular Prism
A=2(lw+hl+hw)
Since we are given the length, width, and height, we can directly plug them into the equation and solve.
\(A=2((10*5)+(4*10)+(4*5))\)
\(A=2(50+40+20)\)
\(A=2(110)\)
\(A=220 cm^2\)
The surface area for the rectangular prism is 220 cm².
----------------------------------------------------------------------------------------------------------------
Hemisphere
A=2πr²
This formula above is derived from the formula for surface area of a sphere.
The surface area of a sphere is A=4πr². Since the picture displays half of a sphere, we divide that by 2. This gives us A=2πr².
Since we have the radius, all we have to do is plug it in.
\(A=2\pi (3)^2\)
\(A=2\pi (9)\)
\(A=18\pi\)
\(A=56.52 cm^2\) *Note I used 3.14 instead of π.
----------------------------------------------------------------------------------------------------------------
Now that we have the surface area of the hemisphere and rectangular prism, we add them together to find the surface area of the entire prism.
A=220+56.52=276.52 cm²
Which has a larger y intercept
Since the y-intercept of f(x)=4(3)ˣ is (0,4) and the y-intercept for the table whose function is g(x) = 3²⁻ˣ is (0,9). See the attached graph. Hence, the function with the larger y-intercept is g(x) = 3²⁻ˣ.
What is a y-intercept?In analytic geometry, a point where the graph of a given function or relation intersects with the y-axis of its coordinate system is known as the vertical intercept.
It obeys one standard convention: That all horizontals correspond to values on x and all verticals correspond to those on y. At these points, metrics assessing intersection require that x must always equal zero.
Hence, on the basis of the points at which the curve meets the y axis in both graphs, we can correctly state that: the function with larger y-intercept is g(x) = 3²⁻ˣ.
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In using quarterly time series data, which quarter can serve as the base period for interpretation of dummy variables?
A. Any of the above.
B. Quarter two
C. Quarter one
D. Quarter four
E. Quarter three
In using quarterly time series data, Quarter two can serve as the base period for interpretation of dummy variables.
What do you mean by interpretation?
The process of interpreting anything involves elaborating, rephrasing, or otherwise demonstrating your own understanding of it.
Because they are explaining what someone is saying to someone who doesn't understand, a person who translates one language into another is known as an interpreter.
What are examples and variables?
A trait that is measurable and capable of taking on several values is known as a variable. A few examples of variables are height, age, income, province of birth, school grades, and kind of dwelling.
The two primary categories of variables are categorical and numeric.
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4j + 4j − 6j − j = 12
Solve for J
Answer:
j =12 you have to combine like terms which is all and then it will give u 12
Can someone help me please and show work thank you
Answer:
60% decrease
Step-by-step explanation:
To work out percentage change you takeaway the original number by the new number (New number-Original number) in this case 24-60=(-36), then divide the decreased amount by the original number and multiply the answer by 100 (Decrease amount ÷ Original number x 100) for this question you'd do (-36)÷60=(-0.6) then (-0.6)x100=(-60).
The minus shows its a decrease in percentage by 60%
(I hope this helps srry if it doesn't make sense)
Convert 86 to base 5.
Answer:
321
Step-by-step explanation:
Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.
How to convert any number into base 10?To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.
After it, we need to add it. It will give us a number of the 10 bases.
Conversion of any 10 base number into base 5
To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.
Converting 86 to base 10
⇒ 8ₓ10¹ +8ₓ\(10^0\)
⇒ 86₁₀
Converting 86₁₀ into 86₅
When the number 86 is converted in a base of 5 will be (321)₅
Since we need to go down to up to 321₅ will be the correct answer.
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Find x, y, and z. plsssssssssssssssssss
Answer:
z= 104
y=76
x=76
Step-by-step explanation:
z+76= 180. solve for z
z=x
y=76
Fiona’s engagement ring from Prince Harry is valued at more than $3 million.
Write a response to the following questions:
What are two possible values for the price of the ring? Explain
How can you use a number sentence to represent this amount?
Since the value of the ring is “more than” $3 million, the possible values have to be greater than $5 million. There are many possibilities but two examples could be $4 million or $3.5 million.
Write a response to the following questions:
How can you determine if you use “equal to” in your inequality comparison?
Can an equation, with an equal sign, have more than one solution? Explain.
At the end of this assignment you should have answers to the four questions as stated above as they correlate with the statements given:
What are two possible values for the price of the ring? Explain
How can you use a number sentence to represent this amount?
How can you determine if you use “equal to” in your inequality comparison?
Can an equation, with an equal sign, have more than one solution? Explain.
1) The ring's price can be divided into two categories:
$4 million and $5 million.
2) This amount is represented by the number sentence:
⇒ v > 3 million.
Since, We know that,
If the bound is part of the equation's answer, that is, if the quantity is equal to or less/greater, or if the statement contains words like at least or at most, the "equal to" is utilized.
An equation with an equal sign can have more than one solution;
in fact, an nth degree equation can have up to n distinct solutions.
This is something we are aware of.
The following are the four most common inequality symbols, as well as how to understand them:
When x is less:
The amount is greater than x, hence the number is to the right of x on the number line, with an open dot. These are the positions above the dashed line y = x on the coordinate plane.
< x: the amount is less than x. -> the number is to the left of x on the number line, with an open dot. These are the locations on the coordinate plane below the dashed line y = x.
≥ x: the amount is at least x. -> the number is to the right of x on the number line, with a closed dot. These are the locations above the continuous line y = x on the coordinate plane.
The quantity is at most x. -> the number is to the left of x with a closed dot on the number line. These are the locations on the coordinate plane that are below the continuous line y = x.
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What are the answers to these questions?
Step-by-step explanation:
the inside expression of an absolute value expression can be positive or negative, but the result is only the positive one.
therefore, for our example here the negative case would be
2.5x - 6.8 = -12.9
which gives us
2.5x = -6.1
x = -6.1/2.5 = -2.44
and the positive case would be
2.5x - 6.8 = 12.9
and that gives us
2.5x = 19.7
x = 19.7/2.5 = 7.88
Help me withis problem please I'm bad at math.
g(x) = f(x) - 5
We subtract 5 from f(x) because we are doing a vertical shift down 5 units.
Answer: A
Step-by-step explanation:
For this problem, you would need to analyze the graph.
If you notice, both lines look pretty identical with the exception of one lower than the other. As you can see, the blue line is the same as the red line, but shifted down by 5. Therefore, you would subtract f(x) by 5. That would make A our answer.
The box plot below represents some data set. What percentage of the data values are between 110 and 170?
The percentage of the data values are between 110 and 170 = 37.5%
We know that in the box plot, the first quartile is nothing but 25% from smallest to largest of data values.
The second quartile is nothing but between 25.1% and 50% (i.e., till median)
The third quartile: 51% to 75% (above the median)
And the fourth quartile: 25% of largest numbers.
In the attached box plot, we can observe that between two numbers on the number line there are 5 equal parts.
So, each unit length measures 10 units.
Also, the median of the data = 110
We need to find the percentage of the data values are between 110 and 170.
i.e., the percentage of the data values are in the third quartile.
The range of this box plot is: 190 - 30 = 160
The data values are between 110 and 170 = 60
Using percentage formula,
P = (60/160) × 100
P = 37.5%
This is the required percentage.
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Find the complete question below.
Solve the equation below for y:
12y+2x=24
Answer:y =12/7
Step-by-step explanation:
Answer:
y= 2-x/6
Step-by-step explanation:
Solve the inequality 5x-9>11
Answer:
-51 i think
Step-by-step explanation:
determine whether the lines and are parallel, skew, or intersecting. if they intersect, find the point of intersection. stewart, james. essential calculus (p. 579). cengage textbook. kindle edition.
The lines L1 and L2 are not parallel and intersect at a single point. We have also found the point of intersection.
If the direction vectors are parallel, then the lines are parallel. If the direction vectors are not parallel but do not intersect, then the lines are skew. If the direction vectors are not parallel and do intersect, then the lines intersect at a single point.
To determine whether the given lines are parallel, skew, or intersecting, we need to compare their direction vectors. The direction vectors of the lines are the coefficients of the parameters t and s in the respective equations. Thus, the direction vector of L1 is <2,-1,3> and the direction vector of L2 is <4,-2,5>.
To check whether the direction vectors are parallel, we can compute their cross product. If the cross product is the zero vector, then the direction vectors are parallel.
<2,-1,3> × <4,-2,5> = (7,2,-10)
Since the cross product is not zero, the direction vectors are not parallel. Thus, the lines are either skew or intersecting.
To determine whether the lines are intersecting, we can set the parametric equations of the lines equal to each other and solve for t and s. This will give us the point of intersection.
3 + 2t = 1 + 4s
4 - t = 3 - 2s
1 + 3t = 4 + 5s
Rearranging the equations, we get:
2t - 4s = -2
t + 2s = 1
3t - 5s = 3
Using Gaussian elimination or other methods, we can solve for t and s:
t = 11/13
s = 2/13
Substituting these values back into either equation gives us the point of intersection:
x = 3 + 2(11/13) = 37/13
y = 4 - (11/13) = 41/13
z = 1 + 3(11/13) = 40/13
Thus, the lines intersect at the point (37/13, 41/13, 40/13).
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Complete Question:
Determine whether the lines L1 and L2 are parallel, skew, or intersecting. If they intersect, find the point of intersection.
L1: x = 3 + 2t, y = 4 – t, z = 1 + 3t
L2: x = 1 + 4s, y = 3 – 2s, z = 4 + 5s
Between which values does 111 lie?
A. 7 and 8
B. 8 and 9
C. 9 and 10
D. 10 and 11
E .11 and 12
Answer: D: 10 and 11
Step-by-step explanation:
The Sq Rt of 111 is 10.5356537529 which falls between 10 and 11
Answer:
D: 10 and 11
Step-by-step explanation:
10.5356537529 10^11
and in standard notation:
105,356,537,529
Jimmy is going scuba diving. He started at 10 ft below sea level. He then dove 15 ft further, then he got nervous and came up 5 ft. Write this as an expression (im in 7th grade plz help)
Answer:
it is 55
Step-by-step explanation:
Pls help me I really don’t know
Answer:
1232 => 1
2464 => 2
6160 => 5
9856 => 8
Step-by-step explanation:
The daily wages of a carpenter are increased from $40 to $48. Find the
percent increase?
Answer:20
Step-by-step explanation: so first take out the amount of salary increased so it will be- 48-40=-8
After take out the percentage of the increased amount which was $-8 and the original amount which was $40 so 8/40 × 100
Percentage increase would be 16.67% or if thats not right try 20%
i hope this helps!!!!
What is 0.66666667 as a fraction
Answer:
2/3
Step-by-step explanation:
Answer:
\(\frac{2}{3}\)
I hope this helps!
A couple does not wish to spend more than $50 for dinner at a restaurant. If a sales tax of 7% is added to the bill and they plan to tip 15% after the tax has been added, what is the most they can spend for the meal? (Round your answer to the nearest cent.)
The maximum that the couple can spend on the meal is $40.63
What is the most they can spend for the meal?Let's say that the couple spends a total of X.
Then we know that we need to add a tax of 7%, then we need to add a factor of (1.07) to the total cost.
And we also know that they want to pay a tip of 15%, then we need to add a factor of (1.15) to the total cost.
Then the total cost for the meal will be:
C = x*(1.15)*(1.07)
The maximum that the spend is 50, then let's solve this for C = 50
50 = X*(1.15)*(1.07)
50/(1.15)*(1.07) = X
40.63 = X
The maximum that they can spend is $40.63
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Bakeware, a bake, ware production company, has a production cost of $6 per round cake pan. Each round cake pan sells for $15. Bakeware's monthly fixed cost is $180,000.
A. Find the break-even quantity.
B. Find the break-even revenue.
C. Find the break-even point.
D. If the company produces and sells 15,000 pans, will this result in a profit or a loss?
E. If the company produces and sells 28,000 pans, will this result in a profit or a loss?
Answer:
your cheating
Step-by-step explanation:
stopppp