Find the image of F(6,-3) after the reflection across the line x=3
Answers
Recall that a reflection across the line x=k (with k a real number) transforms the point (x,y) as follows:
\((x,y)\rightarrow(2k-x,y).\)Therefore, the image of F(6,-3) after the reflection across the line x=3 is:
\((2\cdot3-6,-3)=(0,-3)\text{.}\)Answer: (0,-3).
Related Questions
What is the M.A.D. (mean absolute deviation) of the following data set?
8 9 9 7 8 6 9 8
Answers
The mean absolute deviation is 0.75
How to determine the mean absolute deviationTo calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set
From the information given, we have that the data set is;
8 9 9 7 8 6 9 8
Let's calculate the mean, we get;
Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8
Mean = 64 / 8
Divide the values
Mean = 8
Let's determine the absolute difference, we get;
Absolute differences=
|8 - 8| = 0
|9 - 8| = 1
|9 - 8| = 1
|7 - 8| = 1
|8 - 8| = 0
|6 - 8| = 2
|9 - 8| = 1
|8 - 8| = 0
Find the mean of the absolute differences:
Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8
Absolute difference = 6 / 8 = 0.75
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Scientists are preparing two satellites to be launched. The satellite, Space Explorer B, flies 74400 miles in 12 hours. The table below represents the number of miles, yy, that the satellite, Space Explorer A, flies in xx hours.
How much faster does Space Explorer B travel per hour than Space Explorer A?
Answers
The difference in speed between Explorer B and Explorer A is 600 miles per hour.
How much faster is the Space Explorer B?In order to determine how fast the satellites are travelling, the average speed of the satellites have to be calculated. Average speed is the total distance covered per time.
Average speed = total distance / total time
Average speed of Space Explorer B = 74,400 / 12 = 6,200 miles per hour
Average speed of Space Explorer A = 72,800 / 13 = 5,600 miles per hour
Difference in speed = 6,200 miles per hour - 5,600 miles per hour = 600 miles per hour.
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Ax+2y=10 through the point (4,3) find the missing coeffecient
Answers
Hi,
Ax + 2y = 10
A*4 + 2*3 = 10
4a + 6 = 10
4a = 4
a = 1
( 4 ; 3 )
↓ ↓
x y
✅(•‿•)
need help asap look in file attached
Answers
Answer:
length: 21 cm
width: 16 cm
Step-by-step explanation:
. A rectangle has two lengths and two widths, or two sides that are vertical (up and down) and two sides that are horizontal (left and right)
. In order to find the perimeter we must add up all four side lengths.
. You can find the perimeter of a rectangle by adding the length and the width then multiplying by 2, because there are two of each side length.
P = 2(l+w)
In the question the perimeter is given, which is 74.
We can divide 74 by 2 so that we can find the sum of the length and width.
74/2 = 37
l + w = 37
In the question is states that the length is 5 inches longer than the width.
l = (5 + w)
There are two widths and two lengths in a rectangle, the measurement of the two lengths is 5 inches longer than the two widths.
5 + w + w = 37
5 + 2w = 37
Now that we have our equation we can solve for w, or the width.
1. Move the term containing the variable to the left
5 + 2w = 37
2w + 5 = 37
2. Subtract 5 from both sides of the equation, the opposite of adding 5
2w + 5 = 37
2w + 5 - 5 = 37 - 5
2w = 32
3. Divide by 2 in both sides of the equation, the opposite of multiplying 2
2w = 32
2w/2 = 32/2
4. Cancel out the 2s on the left, but leave the x
2w/2 = 32/2
w = 16
So, now that w, or the width = 16, we can find the length:
l = 5 + w
l = 5 + 16
l = 21
You can check your answer by plugging in our values into the original perimeter formula:
P = 2(l+w)
P = 2(21 + 16)
P = 2(37)
P = 74, so my answer is correct, because 74 is the perimeter given in the question.
Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answers
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
Use what you know about translations of functions to analyze the graph of the function
f(x) = (0.5) 5 + 8. You may wish to graph it and its parent function, y = 0.5°, on the same axes.
The parent function y = 0.5° is
v across its domain because its base, b, is such that
DONEI
The function, f, shifts the parent function 8 units _____
The function, f, shifts the parent function 5 units _____
Answers
Answer:
Step-by-step explanation:The parent function y = 0.5^x is decreasing across its domain because its base, b, is such that 0 < b < 1.
To graph the function f(x) = (0.5)^5 + 8, we can start by graphing the parent function y = (0.5)^x. We can plot a few points for the parent function:
| x | y |
|---|---|
| -2 | 4 |
| -1 | 2 |
| 0 | 1 |
| 1 | 0.5 |
| 2 | 0.25 |
Using these points, we can plot the parent function y = (0.5)^x, which looks like this:
Now, to graph the function f(x) = (0.5)^5 + 8, we can apply the translations to the parent function. The function adds 8 to the output of the parent function, so we can shift the parent function up 8 units to get the graph of f(x). The graph of f(x) is shown below in red, with the parent function in blue for comparison:
As we can see, the function f(x) shifts the parent function up 8 units. It does not shift the parent function horizontally by 5 units, as there is no horizontal translation in the function.
The function f(x) shifts the parent function 8 units upward, but does not shift it horizontally.
which option would be correct?
Answers
Answer:
similar by angle angle similarity property.
Step-by-step explanation:
they have the right angles, and then the two vertical angles.
:))
The vector ⇀
= ⟨2, 3⟩ is multiplied by the scalar –4. Which statements about the components, magnitude, and direction of the scalar product –4⇀
are true? Select all that apply.
A. The component form of −4⇀
is ⟨–8, –12⟩.
B. The magnitude of −4⇀
is 4 times the magnitude of ⇀
.
C. The direction of −4⇀
is the same as the direction of ⇀
.
D. The vector −4⇀
is in the fourth quadrant.
E. The direction of −4⇀
is 180° greater than the inverse tangent of its components.
Answers
Answer:
Therefore, the correct statements are A, B, and E.
Explanation:
Based on my knowledge, a vector is a quantity that has both magnitude and direction. A scalar is a quantity that has only magnitude. When a vector is multiplied by a scalar, the magnitude of the vector is multiplied by the absolute value of the scalar, and the direction of the vector is either preserved or reversed depending on the sign of the scalar.
To answer your question, we need to find the component form, magnitude, and direction of the scalar product –4⇀
.
- The component form of −4⇀
is obtained by multiplying each component of ⇀
by –4. Therefore, −4⇀
= ⟨–8, –12⟩. This means that statement A is true.
- The magnitude of −4⇀
is obtained by multiplying the magnitude of ⇀
by 4. The magnitude of ⇀
is √(2^2 + 3^2) = √13. Therefore, the magnitude of −4⇀
is 4√13. This means that statement B is true.
- The direction of −4⇀
is opposite to the direction of ⇀
because the scalar –4 is negative. This means that statement C is false.
- The vector −4⇀
is in the third quadrant because its components are both negative. This means that statement D is false.
- The direction of −4⇀
is 180° greater than the inverse tangent of its components because it is opposite to ⇀
. The inverse tangent of its components is tan^(-1)(–12/–8) = tan^(-1)(3/2). Therefore, the direction of −4⇀
is 180° + tan^(-1)(3/2). This means that statement E is true.
Therefore, the correct statements are A, B, and E.
The critical value of F for an upper tail test at a 0.05 significance level when there is a sample size of 21 for the sample with the smaller variance and there is a sample size of 9 for the sample with the larger sample variance is _____. a. 2.94 b. 2.45 c. 2.10 d. 2.37
Answers
Answer:
2.45
Step-by-step explanation:
Given that :
α = 0.05
Larger sample variance= numerator, sample size = 9
Smaller sample variance = denominator, sample size = 21
Hence,
DFnumerator = n - 1 = 9 - 1 = 8
DFdenominator = n - 1 = 21 - 1 = 20
Critical value for upper tail test using the F distribution table at α = 0.05 ; DFnumerator on horizontal ; Df denominator as vertical ;
F critical = 2.447
F critical = 2.45
Frankie is saving for a new game system that costs $499. His savings account currently holds $150. He plans to deposit $10 a week into the savings account until he has enough to buy the game system.
In how many weeks will Frankie be able to purchase the game system?
Answers
Answer:
35 weeks
Step-by-step explanation:
If Frankie already has $150 in his bank account, we can subtract it from the cost of the game.
$499 - $150 = $349
Now we can begin to solve for the number of weeks it will take for Frankie to purchase the game system.
If he needs $349, and he adds $10 every week,
10 weeks would give him $100
5 weeks would give him $50
$100 + $100 + $100 + $50 = $350
10 + 10 + 10 + 5 = 35
It would take Frankie 35 weeks to be able to buy the game system.
HELP QUICKLY!!!
A net of a rectangular prism is shown. A net of a rectangular prism with dimensions 5 and three-fourths centimeters by 4 centimeters by 11 and three-fourths centimeters. What is the surface area of the prism? five hundred fifty and one-fourth cm2 four hundred twelve and three-fourths cm2 two hundred seventy-five and one-eighth cm2 one hundred thirty-seven and nine-sixteenths cm2
PLEASE show a explanation
Answers
The surface area of the prism include the following: C. two hundred seventy-five and one-eighth cm².
How to calculate the surface area of a rectangular prism?In Mathematics and Geometry, the surface area of a rectangular prism can be calculated and determined by using this mathematical equation or formula:
Surface area of a rectangular prism = 2(LH + LW + WH)
Where:
L represents the length of a rectangular prism.W represents the width of a rectangular prism.H represents the height of a rectangular prism.By substituting the given side lengths into the formula for the surface area of a rectangular prism, we have the following;
Surface area of rectangular prism = 2[(23/4 × 4) + (23/4 × 47/4) + (4× 47/4)]
Surface area of rectangular prism = 2[23 + 1081/16 + 47]
Surface area of rectangular prism = 275 1/8 cm².
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If rocks along the furnace creek fault have been offset 30 miles over 10 million years, what is the rate of plate motion in cm/year. (Hint: Rate x Time = Distance, and there are 5280 feet in one mile, and 2.54 cm. in one inch.)
Answers
The rate of plate motion in cm/year is equal to 3.3528 × 10⁻³ cm/year.
What is a conversion factor?A conversion factor can be defined as a number that is typically used to convert (change) a number in one (1) set of units to another, either by dividing or multiplying.
Generally speaking, an appropriate conversion factor to an equal value must be used when it is necessary to perform any mathematical conversion.
Conversion:
1 mile = 5280 feet
30 miles = X feet
Cross-multiplying, we have:
X = 30 × 5280
X = 158,400 feet.
Next, we would convert the value in feet to inch and then to cm as follows:
Distance = 158,400/12 = 13,200 inches.
In centimeters (cm), we have:
1 inch = 2.54 cm
13,200 inches = Y cm
Cross-multiplying, we have:
Distance, Y = 13,200 × 2.54
Distance, Y = 33,528 cm.
Now, we can determine the rate of plate motion in cm/year:
Rate = Distance/Time
Rate = 33,528/10,000,000
Rate = 3.3528 × 10⁻³ cm/year.
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Express the formula V = r². H in terms of the height, H. Use that formula to find the height when the volume is
45 and the radius is 3.
H =
-²; H = 30
H =
₁H=5
C H =
₁; H = 7.5
2.zr
C H = 1; H = 15
Answers
The formula in terms of H is H = V ÷ πr². Value of height is 5.
We are given the formula -
V = πr²H, where V represents volume and H represents height. To rewrite the formula in terms of H, we will shift it to Left Hand Side -
H = V ÷ πr²
Keep the value of Volume and radius in formula to find the height.
H = 45π ÷ π(3)²
Taking square of 3 and cancelling π
H = 45 ÷ 9
Performing division to find the value of height
H = 5
Therefore, the formula is V ÷ πr² and value of height is 5.
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The complete question is attached in figure.
Which operation should you perform after (9 + 6) in the expression 12^2 + 10 × 2 − (9 + 6) ÷ 5?
Answers
Answer:
12²
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define expression
12² + 10 × 2 - (9 + 6) ÷ 5
Step 2: Steps
We do parenthesis first, so (9 + 6) is the first thing we do.
The next thing we do is exponents (according to BPEMDAS), so we do 12².
Answer:
Following PEMDAS
Next step : Exponents
Next step : Multiplication
Next step : Division
Next step : Addition
Next step : Subtraction
Step-by-step explanation:
12²+10×2-(9+6)÷5
Open parentheses
12²+10×2-15÷5
Exponents : 12²= 144
144+10×2-15÷5
Multiplication : 10×2=20
144+20-15÷5
Division : -15÷5= -3
144+20-3
Add :144+20=164
164-3
Subtract
= 161
In the following alphanumeric series, what letter comes next? V, Q, M, J, H, …
Answers
According to the given information, the letter that comes next in the given alphanumeric series is "N".
What is alphanumeric series?
An alphanumeric series is a sequence of letters and/or numbers that follows a certain pattern or rule. For example, "A, B, C, D, E..." is an example of an alphabetical series, and "1, 3, 5, 7, 9..." is an example of a numerical series. An alphanumeric series may combine both letters and numbers, such as "A1, B2, C3, D4, E5...". The pattern or rule followed by an alphanumeric series may be based on numerical or alphabetical order.
The given series V, Q, M, J, H, ... follows a pattern where each letter is the 6th letter from the previous letter. So, the next letter in the series would be 6 letters after H, which is N.
Therefore, the letter that comes next in the given alphanumeric series is "N".
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marty got a score of 45 with two throws on this dart board which categories did he hit?
Answers
Answer:
47
Step-by-step explanation:
the answer will be 47 because 47 +2=47 so and there you have it that's the answer
Answer:
123 save some for me
Step-by-step explanation:
that what you get :)
Find the equation of a line that passes through the point (5,3) and has a gradient of 2. Leave your answer in the form y = m x + c
Answers
The equation of the line in slope intercept form is y = 2x - 7..
How to find the equation of a line?The equation of a line can be represented in slope intercept form as follows;
y = mx + b
where
m = slopeb = y-interceptTherefore, the equation of the line that passes through (5,3) and has a gradient of 2 can be found as follows;
m = 2
let's find the y-intercept using (5, 3)
3 = 2(5) + b
b = 3 - 10
b = -7
Therefore, the equation of the line is y = 2x - 7.
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d + m + 20=?
.........................
Answers
Answer:
this cant be solved without more info
Step-by-step explanation:
The cost of a dress after a 6% tax can be represented by the expression d+0.06d . Simplify the expression.
Answers
Hi!
To simplify expressions, we have to add like terms. Like terms are terms with the same variable and exponent, but the coefficient doesn't matter.
d and 0.06d are like terms, because they both have the variable d. Therefore we just add the coefficients together.
Note: "d" has the coefficient of 1, because there is no number by it.
1 + 0.06 = 1.06
Therefore your simplified expression is 1.06d
Hope this helps! :D
on a certain hot summer day 629 people use the public swimming pool The daily prices are $1.25 for children and $2.50 for adults The receptionist for admission totaled $1,200 how many children and how many adults swim at the public pool that day
Answers
Let the number of children be "c" and the number of adults be "a".
There are a total of 629 adults and children.
Thus, we can write an equation:
\(c+a=629\)Price of each children admit is 1.25 and each child admit is 2.50 for a total of $1200.
Thus, we can write an equation to represent this information as:
\(1.25c+2.50a=1200\)We can solve the system of 2 equations we got and find out the values of "a" and "c".
Solving the first equation for c:
\(\begin{gathered} c+a=629 \\ c=629-a \end{gathered}\)We substitute it into second equation and figure out a:
\(\begin{gathered} 1.25c+2.50a=1200 \\ 1.25(629-a)+2.50a=1200 \\ 786.25-1.25a+2.50a=1200 \\ 1.25a=1200-768.25 \\ 1.25a=413.75 \\ a=\frac{413.75}{1.25} \\ a=331 \end{gathered}\)Now, we simply find out c:
\(\begin{gathered} c=629-a \\ c=629-331 \\ c=298 \end{gathered}\)Answer:
Children = 298Adults = 331A square pyramid has a volume of 82 cubic meters. The square base has a side length of 7 meters. What is the height?
This is geometry by the way :)
Answers
Check the picture below.
\(\textit{volume of a pyramid}\\\\ V=\cfrac{Bh}{3} ~~ \begin{cases} B=\stackrel{base's}{area}\\ h=height\\[-0.5em] \hrulefill\\ B=\stackrel{7\times 7}{49}\\ V=82 \end{cases}\implies \begin{array}{llll} 82=\cfrac{49h}{3}\implies 246=49h\implies \cfrac{246}{49}=h \\\\\\ 5.02\approx h \end{array}\)
Try These questions out and I’ll give you brainliest
Answers
The expressions are simplified to;
1. 72n² + 63n
2. 18t - 18t²
3. -18b² - 18b
4. -56r - 21r²
5. -6m + 9m²
What are algebraic expressions?Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.
These algebraic expressions are also made up of mathematical or arithmetic operations.
These operations are;
BracketParenthesesAdditionMultiplicationDivisionSubtractionFrom the information given, we have;
1. -9n (-8n -7)
expand the bracket
72n² + 63n
2. -2t(-9 + 9t)
expand the bracket
18t - 18t²
3. -3b(6b + 6)
expand the bracket
-18b² - 18b
4. -7r(8 + 3r)
expand the bracket
-56r - 21r²
5. 3m(-2 + 3m)
expand the bracket
-6m + 9m²
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Find the product. (3.5(-3.4)
Answers
Answer:
-11.9
Step-by-step explanation:
50 POINTS
Ron has a homeowner’s insurance policy, which covers theft, with a deductible of d dollars. Two bicycles, worth b dollars each, and some tools, worth t dollars, were stolen from his garage. If the value of the stolen items was greater than the deductible, represent the amount of money the insurance company will pay algebraically.
Answers
Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).
Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.
The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.
If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:
P = (2b + t) - d
Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).
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Samantha, a business development representative at Apricot Inc., took her client out for a dinner that cost $180.75 before taxes. If she paid taxes of $18.08 on the meal, calculate the tax rate.
Answers
Answer:
10%
Step-by-step explanation:
Samantha is a business development representative
She took her client out for a dinner that costs $180.75 before taxes
She paid tax of $18.08 on the meal
The tax rate can be calculated as follows
= 18.08/180.75
= 0.1 ×100
= 10%
Hence the tax rate is 10%
let C be the curve y=5sqrtx for 1.1
Answers
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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Which of the following is not a Pythagorean triple?
A. (6, 8, 10)
B. (9, 12, 15)
C. (7, 24, 25)
D. (4, 5, 6)
Answers
Answer:
D. 4, 5, 6, then
H² = P² + B²
6² = 5² + 4²
36 = 25 + 16
36 ≠ 41
This is not Pythagorean triple.
A and B are mutually exclusive events. P(A) = 0.20 and P(B) =
0.50.
What is P(A or B)?
Answers
if you invest $100 into a savings account with 3% interest how much money will you have in ten years?
Answers
i need help
can you look over this picture and see what the answer is
Answers
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12