The required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.
point Q (3,10)
point R (-1,9)
point S (3,7)
point T (7,9)
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
What is a reflection over the line y = −x?Reflection over the y = −x is defined as reflecting a point across they = −x, the x-coordinate and y-coordinate change places, and t the line y = x is the coordinates (y, x). the line y = -x is the coordinates (-y, -x).
Here point Q (−7,5) reflected across the line y = -x will become (3,10).
Similarly
point R (-1,9)
point S (3,7)
point T (7,9)
Therefore, the required image of kite QRST after a reflection over the line y= -x has shown in the attached graph.
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someone help and explain
We can fill in the boxes to make each equation complete as follows:
1. x³x⁹ = x¹²
2. x⁷/x³ = x⁴
3. 1/x⁻⁵ = x⁵
4. (7b³c⁵)³ = 343b⁹c¹⁵
How to solve the exponentsTo solve the exponents as provided above, the rules have to be factored in. One of the rules is that when multiplying exponents of the same base, we simply add their powers together. So, we have the powers of 3 and 9 for the first expression and they add up to 12.
1. x³x⁹ = x³ ⁺ ⁹ = x¹²
For the second expression, the rule of exponents says that when dividing, we will subtract the powers. This gives us x⁴ for the second expression.
2. x⁷/x³ = x⁷ ⁻ ³ = x⁴
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how many solutions does y = x^2 + 7x - 11 have?
Answer:
infinite if you say that you have to find 2 or 3 solution so we can find by putting x value like 0 ,2,1 or also you can put y value
Help me with this!!! What is x
Answer:
58º
Step-by-step explanation:
Answer:
58 degrees
Step-by-step explanation:
x and 32 are complementary, which means they must add to 90 degrees.
x+32=90
Now, we have to solve for x. To do this, we need to get x by itself. 32 is being added on to x. To reverse this, subtract 32 from both sides, because subtraction is the opposite of division.
x+32-32=90-32
x=90-32
x=58
x is 58 degrees
Aaden is 1.75 meters tall. At 11 a.m., he measures the length of a tree's shadow to be 37.65 meters. He stands 32.9 meters away from the tree, so that the tip of his shadow meets the tip of the tree's shadow. Find the height of the tree to the nearest hundredth of a meter.
The relationship between Aaden and the tree's height is an illustration of equivalent ratio
The height of the tree is 2.00 meters
At 11 a.m, we have:
\(\mathbf{Aaden = 1.75m}\)
\(\mathbf{Tree\ Shadow = 37.65m}\)
\(\mathbf{Aaden\ Shadow = 32.9m}\)
So, we make use of the following equivalent ratio
\(\mathbf{Aaden : Tree = Aaden\ Shadow : Tree\ Shadow}\)
This gives
\(\mathbf{1.75: Tree = 32.9: 37.65}\)
Express as fractions
\(\mathbf{\frac{Tree}{1.75} = \frac{37.65}{32.9}}\)
Multiply both sides by 1.75
\(\mathbf{Tree = \frac{37.65}{32.9} \times 1.75}\)
\(\mathbf{Tree = 2.00}\)
Hence, the height of the tree is 2.00 meters
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Find the zero places of the quadratic function: y= x^2 + 5x + 6
The required zero places of the given equation y= x² + 5x + 6 is x = -2 and x = -3.
Given that,
An equation y= x² + 5x + 6,
To determine the Zeros of the equation given above.
The equation is the relationship between variables and is represented as y =ax + b is an example of a polynomial equation.
Here, given equation is, y= x² + 5x + 6
Now, let y = 0
x² + 5x + 6 = 0
x² + 2x + 3x + 6 = 0
x(x + 2) + 3 (x + 2) = 0
(x + 2) * (x + 3) = 0
x + 2 = 0 ; x + 3 = 0
x = -2 and x = -3
Thus, the required zero places of the given equation y= x² + 5x + 6 is x = -2 and x = -3.
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Please help me with this please
Answer:
option 2 : y-7 = 2(x-1)
Step-by-step explanation:
the fastest way is to simply put the x- and y-values of both points into the equations, and see, which one is true for both points.
the first option is only true for the second point
7-7 = 4(1-1)
0 = 4×0 = 0
but for the first point
3-7 = 4(-1 - 1)
-4 = 4×-2 = -8
-4 = -8 is false
the second option then is true for both points
7-7 = 2(1-1)
0 = 0
3-7 = 2(-1 - 1)
-4 = 2×-2 = -4
Please help this is due in the morning
Step-by-step explanation:
Using the Theorem,
LN*NL = KN*NJ
(7x-11)*14 = 16*(3x+6)
98x - 154 = 48x + 96
98x-48x = 96+154
50x = 250
x= 250/50
x= 5 MARK ME AS BRAINLISTplsssssssss answer it
Answer:
Answer is -7
Step-by-step explanation:
coz if -2 equal only
- answer so answer is
-7
graph the line y=3(x+3)+4
Answer:
Check out the image below the explanation.
Step-by-step explanation:
1. First, let's simplify the equation.
\(y = 3(x) + 3(3) + 4\) \(y = 3x + 9 + 4\) \(y = 3x + 13\)2. Since the equation is y = 3x + 13:
The y-intercept is 13.For every 1 unit we go to the right, we go 3 units up.Now, here's the graph!
This one-dimensional figure has one endpoint and goes on forever in one direction.
A. line segment
B. line
C. ray
Answer:
C
Step-by-step explanation:
A line segment has two points; it does not go on forever.
A line has rays on either end, so it would go forever in both directions, not one direction.
(90 points) what's the area of a 5m circle , 50 mm circle , 40in circle , 7ft circle, 21mm circle and a 70cm circle all using 3.14 or 22/7 for pi
Answers:
AREA OF A CIRCLE = pi x r^2
5m circle:
when it says 5 i think it means diameter so divide by 2 for radius
5/2 = 2.5
3.14 x 2.5^2=
3.14 x 6.25=
19.625m^2
50mm circle:
50/2= 25
3.14 x 25^2=
3.14 x 625=
1962.5mm^2
40in circle:
40/2= 20
3.14 x 20^2 =
3.14 x 400=
1256in^2
7ft circle:
7/2= 3.5
3.14 x 3.5^2=
3.14 x 12.25=
38.465ft^2
21mm circle:
21/2= 10.5
3.14 x 10.5^2=
3.14 x 110.25=
346.185mm^2
70cm circle:
70/2=35
3.14 x 35^2=
314 x 1225=
3846.5cm^2
Hope that helps :)
FILL IN THE BLANK. let . find the line integral of around the perimeter of the rectangle with corners ____traversed in that order.
The line integral of a vector around the perimeter of a rectangle with corners (x0, y0), (x1, y1), (x2, y2), and (x3, y3) traversed in that order.
What is perimeter?
A closed path which encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations. The measurement of the fence needed to completely enclose a yard as well as garden is called the perimeter. How far a wheel or circle will roll inside one revolution is determined by its circumference, or perimeter.
To find the perimeter by adding up the side lengths of various shapes.
The line integral starts from the first corner to the last corner of the rectangle and it shows that both the x and y values.
(x0,y0)-first corner point
(x1,y1)-second corner point
(x2,y2)-third corner point
(x3,y3)-four corner point
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What are the topics in Grade 8 math?
The following specific topics are covered in 8th grade math:
-Mathematical operations
-Resolving equations with a single unknown
- One-variable linear equations
-Expressions in algebra
- square roots and squares
- Geometry
- Cube and cube root
-Data management
These are the headings that were previously mentioned. These subjects need to be investigated in depth going forward.
Algebraic expressions: What are they?
Using letters or alphabets to represent numbers without giving their exact quantities is the idea behind algebraic expressions. The fundamentals of algebra taught us how to express an unknown value using letters like x, y, and z. These letters are referred to here as variables.
What components make up one-variable linear equations?
One-variable linear equation is represented by the following equation:
A and B are two integers, and X is a variable, hence ax+b = 0. There is just one answer to this equation.
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Evaluate |x^2 +9x| at x = -4
a swallow files at a speed of 50 km/h for 3 hours and then at a speed of 40 km/h for a further 2 hours .find the average speed for the whole journey
Answer:
18 km/h
Step-by-step explanation:
Answer:
18 km/h
and your welcome
Find "k" if a force of 10 Newtons produces an extension of 5 cm.
K = 5n/m
F=KE
K= F/E
= 10/5
K = 5n/m
69% of all Americans live in cities with population greater than 100,000 people. If 34 Americans are randomly selected, find the probability that
a. Exactly 25 of them live in cities with population greater than 100,000 people.
b. At most 25 of them live in cities with population greater than 100,000 people.
c. At least 24 of them live in cities with population greater than 100,000 people.
d. Between 19 and 25 (including 19 and 25) of them live in cities with population greater than 100,000 people.
a) The probability that exactly 25 of them live in cities with population greater than 100,000 people is 0.159.
b) The probability that at most 25 of them live in cities with population greater than 100,000 people is 0.712.
c) The probability that at least 24 of them live in cities with population greater than 100,000 people is 0.859.
d) The probability that between 19 and 25 (including 19 and 25) of them live in cities with population greater than 100,000 people is 0.708.
This problem involves the binomial probability distribution since we are interested in the number of successes in a fixed number of trials, where each trial has only two possible outcomes: living in a city with population greater than 100,000 or not.
a. The probability of exactly 25 of them living in cities with population greater than 100,000 people is:
P(X = 25) = (34 choose 25) * 0.69^25 * (1 - 0.69)^(34 - 25) = 0.159
b. The probability of at most 25 of them living in cities with population greater than 100,000 people is:
P(X <= 25) = P(X = 0) + P(X = 1) + ... + P(X = 25)
We can calculate this probability by adding up the probabilities from part a for X = 0 to X = 25, which would be time-consuming. Alternatively, we can use the complement rule:
P(X <= 25) = 1 - P(X > 25)
We can find the probability of X > 25 using the same method as in part a:
P(X > 25) = (34 choose 26) * 0.69^26 * (1 - 0.69)^(34 - 26) + (34 choose 27) * 0.69^27 * (1 - 0.69)^(34 - 27) + ... + (34 choose 34) * 0.69^34 * (1 - 0.69)^(34 - 34) = 0.288
Therefore, P(X <= 25) = 1 - 0.288 = 0.712
c. The probability of at least 24 of them living in cities with population greater than 100,000 people is:
P(X >= 24) = 1 - P(X < 24)
We can find the probability of X < 24 using the same method as in part b:
P(X < 24) = P(X = 0) + P(X = 1) + ... + P(X = 23) = 0.141
Therefore, P(X >= 24) = 1 - 0.141 = 0.859
d. The probability of between 19 and 25 (including 19 and 25) of them living in cities with population greater than 100,000 people is:
P(19 <= X <= 25) = P(X = 19) + P(X = 20) + ... + P(X = 25)
We can calculate this probability by adding up the probabilities from part a for X = 19 to X = 25, which would be time-consuming. Alternatively, we can use the cumulative distribution function:
P(19 <= X <= 25) = P(X <= 25) - P(X < 19) = 0.712 - 0.004 = 0.708
Therefore, the answers are:
a. P(X = 25) = 0.159
b. P(X <= 25) = 0.712
c. P(X >= 24) = 0.859
d. P(19 <= X <= 25) = 0.708
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how can you use the fact that relative frequency table has a total column or has a total row to help interpret the values in the table?
The total column or row in a relative frequency table provides a summary of the data and facilitates interpretation, verification, and identification of patterns or irregularities in the distribution of categories.
The presence of a total column or a total row in a relative frequency table can be helpful in interpreting the values and understanding the data within the table. Here's how it can assist in interpretation:
Proportions: A relative frequency table displays the proportions or percentages of each category relative to the total number of observations. The total column or row provides the sum of these proportions, typically represented as 100% or 1. This allows you to verify that the proportions add up correctly and provides a reference point for comparison.
Data Accuracy: By comparing the total column or row to the known total number of observations, you can assess the accuracy of the data presented in the table. If the totals match, it suggests that the data has been properly recorded and calculated.
Missing Data: If there are any missing values or incomplete rows/columns in the table, the total column or row can help identify them. If the total doesn't match the expected value, it indicates that some data might be missing or erroneously recorded.
Distribution Patterns: Analyzing the relative frequencies across different categories can reveal distribution patterns. The total column or row allows you to compare the relative sizes of various categories and identify trends or significant differences more easily.
Identifying Outliers: If there is a significant outlier in the data, it may be reflected in the total column or row. If one category has an unexpectedly high or low relative frequency compared to others, it may warrant further investigation to understand the underlying cause.
In summary, the total column or row in a relative frequency table provides a summary of the data and facilitates interpretation, verification, and identification of patterns or irregularities in the distribution of categories.
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mia made 7 trips to visit her grandmother. she walked 498.75 meters in all. how far did mia walk on each trip?
Answer: 71.25 meters
Step-by-step explanation:
1. 498.75/7
2. 71.25
Mia made 7 trips to visit her grandmother. she walked 498.75 meters in all, mia walks on each trip is 71.25 m
Mia made 7 trips to visit her grandmother
she walked 498.75 meters in all
In order to calculate the distance she walks on each trip, we calculate it by dividing the total distance by the number of trips
The total distance is 498.75
The number of trips is 7
walk on each trip is 498.75/ 7 = 71.25
Therefore, mia made 7 trips to visit her grandmother. she walked 498.75 meters in all, mia walks on each trip is 71.25 m
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Suppose a city with population 600,000 has been growing at a rate of 4% per year. If this rate continues, find the population of this city in 25 years.
Answer:
15,600,000
Step-by-step explanation:
We start with our initial population of 600,000. Then multiply that with the rate of 4% (0.04 in decimal, or 1.04 so that the 0.04 is automatically added to the 600,000.)
600,000 · 1.04y = projected populationy = 25600,000 · 1.04(25) = projected populationsimplify!15,600,000 = proejcted population(1 point) in how many ways can 2 ice cream toppings be chosen from 12 available toppings? your answer is :
Answer:
Below
Step-by-step explanation:
12 C 2 = 12! / ( 10! 2!) = 66 ways
We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project.
We are evaluating a project that costs $786,000, has an eight-year life, and has no salvage value. Assume that depreciation is straight-line to zero over the life of the project. Sales are projected at 65,000 units per year. Price per unit is $48, variable cost per unit is $25, and fixed costs are $725,000 per year. The tax rate is 22 percent, and we require a return of 10 percent on this project
The tax rate for 10% is IRR = 78%.
The Initial evaluating cost is $786000 and the
Depreciation expense per year will be = $786,000 / 8 = $98,250.
and the contribution margin per unit = $48 - $25 = $23
total units sold Projected per year = 65,000
fixed costs will be per year = $725,000
At Present the tax rate = 22%
Net cost fixed per year = -$786,000
Net Cost Fixed year 1-8 = {[($23 x 65,000) - $98,250 - $725,000] x 0.78} + $98,250 = $622,215
Net Per Variable = $2,533,471.10
Hence the answer is, The tax rate for 10% is IRR = 78%.
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If a city with a population of 500,000 doubles in size every 85 years, what will the population
be 340 years from now?
Answer:
8,000,000
Step-by-step explanation:
if 500,00 is the first year and in 85 years it will be 1,000,000, then after 180 years 2,000,000 and then 4,000,000 after 265 years then 8,000,000 after 340 years
Pls help I have been trying to figure this out for days help!!
Answer:
3 14 18 -31 25
Step-by-step explanation:
Is this supposed to equal something? What's the meaning?
Round the number to the place of the underlined digit.
0.758
Answer:
Sana my pic pra masagutan
Step-by-step explanation:
Asan po ang naka under line digit?
Find the value of y.
Answer:
y = √(1×8) = 2√2
z = √(8×9) = 6√2
Answered by GAUTHMATH
Answer:
\(y=2\sqrt{2}\)
\(y\approx 2.82843\)
Step-by-step explanation:
The given triangle is a right triangle, this is indicated by the box around one of the angles in the triangle. The Pythagorean theorem is a property that applies to right triangles, this property comes in the form of an equation, which can be simply put as the following:
\(a^2+b^2=c^2\)
Where (a) and (b) are the legs of the right triangle, or the sides adjacent to the right angle of the right triangle. The parameter (c) indicates the hypotenuse or the side opposite the legs of the right triangle.
Look at the smallest triangle in the entire image. Using the Pythagorean theorem, one can form an equation and solve for the unknown parameter, (y).
\(a^2+b^2=c^2\)
Substitute,
\((1)^2+(y)^2=(3)^2\)
Simplify,
\((1)^2+(y)^2=(3)^2\)
\(1+y^2=9\)
\(y^2=8\)
\(y=\sqrt{8}\)
\(y=2\sqrt{2}\)
\(y\approx 2.82843\)
A person places $7380 in an investment account earning an annual rate of
1.9%, compounded continuously. Using the formula V = Pert, where Vis
the value of the account in t years, P is the principal initially invested, e is the
base of a natural logarithm, and r is the rate of interest, determine the
amount of money, to the nearest cent, in the account after 11 years.
Answer: $9095.44
Step-by-step explanation:
Given:
P=7380
r=1.9% = .019
t= 11
V = P\(e^{rt}\) >substitute
V = 7380 \(e^{(.019)(11)}\) >Plug into calculator
V= $9095.44
The initial value of a book is $58 and decreses at a rate of 7% per year. Use an exponential function to find the value of the book after 8 years.(pls help me pls and ty)
A.$7.21
B.$32.46
C.$21.44
D.$56.21
Answer
y = 58 ( 1-0.07)^8 so y = 32.46
Step-by-step explanation:
Hi can you please help me
The probability that student chosen at random is 16 years is 0.28.
How to find the probability of the student chosen?The table shows the distribution of student by age in a high school with 1500 students. Therefore, the probability that randomly chosen student is 16 years can be found as follows:
Therefore,
probability = number of favourable outcome to age / total number of possible outcome
Hence,
probability that student chosen at random is 16 years = 420 / 150
probability that student chosen at random is 16 years = 0.28
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State whether each equation represents a direct, joint, inverse, or combined variation. Then name the constant of variation.
u = 8wz
The equation u = 8wz represents a joint variation, and the constant of variation is 8.
The equation u = 8wz represents a direct variation. This means that u varies directly with the product of w and z, meaning that as w and z increase or decrease, u also increases or decreases at the same rate. The constant of variation in this equation is 8, which represents the ratio of u to the product of w and z. This means that if w and z are both multiplied by a certain factor, u will also be multiplied by the same factor times 8. For example, if w is doubled and z is tripled, u will be multiplied by 6 times 8, or 48. Direct variation equations are often written in the form y = kx, where k is the constant of variation. However, in this case, the equation is in a different form, but still represents the same concept of direct variation.
In summary, the equation u = 8wz represents a joint variation, and the constant of variation is 8.
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