Using the given information, the diver's score is 6.2
Calculating average scoreFrom the question, we are to calculate the diver's score
From the given information,
The five judges score a dive as 6.0, 6.3, 6.2, 6.8, and 6.1.
Since the highest and lowest scores are discarded
Then, we will discard 6.8 and 6.0
The remaining scores are 6.1, 6.2, and 6.3
Now, the diver's score will be the average of the remaining scores
∴ The diver's score = (6.1 + 6.2 + 6.3) /3
The diver's score = 18.6 / 3
The diver's score = 6.2
Hence, the diver's score is 6.2
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what is an equation of the line that passes through the point (-4, -6) and is perpendicular to the line 4x+5y=25 ?
Answer:
5x -4y = 4
Step-by-step explanation:
An equation for the perpendicular line can be found by swapping the x- and y-coefficients, and negating one of them. The constant changes to a value so that the equation is satisfied at the given point.
__
new lineSwapping the coefficients gives us ...
5x +4y = c . . . . . for some constant c
Negating the y-coefficient (so the x-coefficient remains positive) gives ...
5x -4y = c
constantPutting (x, y) = (-4, -6) into the equation gives us the value of c:
5(-4) -4(-6) = c
-20 +24 = c = 4
equationThe line perpendicular to the given line and through the point (-4, -6) will have equation ...
5x -4y = 4
Find the value of x in the triangle shown below.
x=
58°
6
6
20%
5.8
Answer:
x = 61°
Step-by-step explanation:
since the triangle has 2 congruent sides then it is isosceles with the 2 base angle being congruent, both x°
the sum of the 3 angles in the triangle = 180° , then
x + x + 58° = 180°
2x + 58° = 180° ( subtract 58° from both sides )
2x = 122° ( divide both sides by 2 )
x = 61°
O is the center of the regular octagon below. Find its area. Round to the nearest tenth
if necessary.
Answer:229.1
Step-by-step explanation: to much work I thought to hard that’s the answer your welcome buddy
In order to go on the field trip, you must accrue 75 positive
behavior points. you found out that you have 45% of the
points necessary to go. how many points do you have? use the
variable, p, for your equation.
what is the equation?
Answer:
Equation 75 X .45 = P
P = 33.75
In a group there are 3 boys and 4 girls. A child is selected from the group at random. Find the probability that the selected child is a boy.
Answer:
3/7
Step-by-step explanation:
Probability=Number of possible items÷Number of total items.
We will make the possible item 3 because we are looking for the probability whether a boy will be picked.
The number of total items will therefore be: the number of boys + the number of girls; that will be 3+4 =7.
So the probability of picking a boy will be 3/7
THANK YOU.
What is the slope of the line containing (-2,5) and (4, -4)?
O A. -2
O B.
3
2
O c. 2
O D.
3
2
Answer:
-3/2
Step-by-step explanation:
See attached image
Answer:
[tex]m=\frac{-3}{2}[/tex]
Step-by-step explanation:
m = slope
[tex]m=\frac{-4-5}{4--2}[/tex]
[tex]m=\frac{-9}{6}[/tex]
[tex]m=\frac{-3}{2}[/tex]
There is 1/2 of a pizza left for 4 friends to share. What fraction of a pizza will each friend get to eat?
Answer:
12.5% is the answer.
Step-by-step explanation:
Jeff is going snowboarding this weekend and wants to determine the exact slope of this hill.
Answer:
-2/5
Step-by-step explanation:
the distance between -1 and -3 on the y-axis is 2. 2 is the rise of your slope. two find the run, find the distance between -5 and 0. The distance is negative 2. Rise over run equals the slope so -2/5 is the answer
how many whole numbers are less than n?
You decide to buy a car that costs $10,000. The normal depreciation for such a car is 5% per year. How much will the car be worth in 2 years?
Answer:
11,000
Step-by-step explanation:
10% of 10,000 is 1,000 so 5% is 500 and add 2 of 5% you get 1,000 and add it to the old price thus you get 11,000.
Factor the expressions below using the greatest
common factor:
a. 4m³ - 32m
b. 63x¹2 - 35x6
C. -28v² - 8v - 36
Answer:
a=4m
b=63x¹2 - 35x6 maybe you formatted/typed this wrong, but this is impossible..?
c=4
Kaminsky’s bronze sculpture is 5 feet in diameter, which is approximately 1.524 meters. If the sculpture was made of solid bronze, its weight could be approximated using the density of bronze , the volume, , in cubic meters, the mass, , in kilograms and applying the formula . Approximately, how many pounds would the sculpture weigh if it was made of solid bronze?
The weight of the spherical sculpture in pounds is approximately 251607 pounds
How to find the weight of the sculpture in pounds?
The sculpture is spherical and its made of solid bronze.
Therefore,
density = mass / volume
where
density = 7700 kg / m³
volume = 4 / 3πr³
volume = 4/ 3 × 3.14 × 1.524³
volume = 44.4574491494 / 3
volume = 14.8191497165 m³
Therefore,
mass = 7700 × 14.8191497165
mass = 114107.452817 kg
1 kg = 2.205 pounds
114107.452817 = ?
cross multiply
mass in pounds = 114107.452817 × 2.205
mass in pounds = 251606.933461
mass in pounds = 251607 pounds
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Two angles of a quadrilateral measure 105° and 150°. The other two angles are in a ratio of 4:17. What are the measures of those two angles?
Answer:
20 degrees and 85 degrees.
Step-by-step explanation:
105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)
Quadrilateral ABCD below is a parallelogram. Use the figure to select the best answer from the choices provided. If AD = 3x + 5, AB = 7x – 3, and BC = 8x – 10, what is the value of x? Select the best answer from the choices provided. A. 2 B. 3 C. 7 D. 8
Answer: 3
Step-by-step explanation:
Opposite sides of a parallelogram are congruent, so AD=BC.
[tex]3x+5=8x-10\\5=5x-1015=5x\\x=\boxed{3}[/tex]
PLEASE HELP I’LL MAKE YOU THE BRAINIEST!! What is the value of x in simplest radical form
A rental car company charges $63.41 per day to rent a car and $0.05 for every mile driven. Ella wants to rent a car, knowing that: She plans to drive 275 miles. She has at most $200 to spend. What is the maximum number of days that Ella can rent the car while staying within her budget?
Answer:
2 days
Step-by-step explanation:
275 miles times 0.05 = $13.75 for mileage
200-13.75=186.25 left
186.25/63.41(daily fee)= 2.93
She can rent it for 2 days
A triangle has a base of 53 and a height of 21. What is the hypotenuse?
Answer:
Approximately 57
Step-by-step explanation:
The Pythagorean theorem says that a^2+b^2=c^2, where a and b are the base and height, while c is the hypotenuse. 53^2+21^2=2809+441=3250. The square root of 3250 is 57.008771255, which rounded to the nearest tenth is 57. Hope this helped!
Answer:
57.008771255 or 57
Step-by-step explanation:
53^2+21^2=57.008771255^2
Find f(5)+j(-2) if f(x)=12-3x ind j(x)=x² + 4x − 1
The value of the expression f(5) + j(-2) is -8 where f(x)=12-3x and j(x)=x² + 4x - 1
How to solve the equation?The expression is given as:
f(5) + j(-2)
Where f(x)=12-3x and j(x)=x² + 4x - 1
Calculate f(5) and j(-2)
f(5)= 12 - 3(5) = -3
j(-2) = (-2)² + 4(-2) - 1 = -5
So, we have:
f(5) + j(-2) = -3 - 5
Evaluate
f(5) + j(-2) = -8
Hence, the value of the expression f(5) + j(-2) is -8
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Amazing Gadget Corporation has determined a quadratic relationship between its selling price for its newest tablet and the company's daily profit. Which of the following would be a reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400?
A reasonable estimate of the rate of change for the interval
300 ≤ x ≤ 400 considering if the company is making a profit=2.
Consider the Quadratic relationship, between the selling price for its newest tablet and the company's daily profit is given,
f(x)= a x² + b x + c
Differentiating once
f'(x)= 2 a x + b
As we have to find the rate of change for the interval 200 ≤ x ≤ 300.
So,[tex]f(300)= 2 a \times 300 + b= 600a+b[/tex]
[tex]f(400)= 2 a \times 400 + b= 800 a + b[/tex]
Rate of change for the interval 300 ≤ x ≤ 400
What is the formula for the rate of change?[tex]=\frac{f(b)-f(a)}{b-a}[/tex]
[tex]=\frac{800 a + b-(600 a + b)}{400-300} \\=\frac{800 a + b-600 a -b)}{100}\\\\=\frac{(200 a )}{100}\\\\=2a[/tex]
As considering, if the company is going through Profit, when the selling of the tablet is in the interval (300 ≤ x ≤ 400),
So, a Reasonable estimate of the rate of change for the interval 300 ≤ x ≤ 400 considering if the company is making a profit=2
Option (A).
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A hen lays 3 eggs every 5 minutes. How many eggs will the hen lay in 2 hours?
Answer:
72
Step-by-step explanation:
2 hrs = 120 min
120 min / 5 min = 24 times in 2 hrs
24 x 3 = 72 eggs in 2 hrs
Answer:
Step-by-step explanation:
3 eggs/5 minutes = x/120 minutes
5x = 360
x = 72 eggs in 2 hours
What does the phrase "in spite of" refer to?
The phrase "in spite of" refers to a scenario where regardless of what happened, there is always a yearning desire and ability to remain positive.
What is the meaning of the phrase "in spite of"?The meaning of the phrase "in spite of" mean notwithstanding or whatever the circumstances, there is no room for complaining and thinking negatively.
This phrase is used to rejuvenate the positive and optimism of a man's thoughts and desires during dark moments. Hence, "in spite of" what happened, there is always an ability to remain positive.
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Express 34m 8cm 6mm in mm
Answer:
34086 mm
Step-by-step explanation:
34m = 34000 mm
8cm = 80 mm
6mm = 6mm
34000+80+6 = 34086 mm
Answer:
34086 mm
34m = 34000m
8cm = 80mm
What is 3.14 x 16
Can i have a step by step solution???
Answer:
3.14 × 16 is 18,84
Method in picture
[tex]{\color{aqua}{\boxed{\mathfrak{LordKeyarga23}}\:}}[/tex]
The value of the multiplication of the numbers 3.14 and 16 will be 50.24.
What is Algebra?Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.
The numbers are given below.
3.14 and 16
Then the multiplication of the numbers 3.14 and 16 will be given by putting a cross sign between them. Then we have
⇒ 3.14 x 16
⇒ 50.24
The value of the multiplication of the numbers 3.14 and 16 will be 50.24.
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Help my semester ends in 17 hours
i'm so confused this is all they put
Apply the Pythagorean Theorem to determine
unknown side lengths in right triangles in real
world and mathematical problems in two and
three dimensions
find the measure of the indicated angle
?
82°
58⁰
__ degrees
A major arc will have a measure that is
O A. greater than 180°
OB. less than 180°
O C. equal to 180°
If you draw all of the diagonals from one vertex of a regular hexagon, how
many triangles do you make?
If you draw all of the diagonals from one vertex of a regular hexagon we make 5 triangles. This is further explained below.
What is a hexagon?Generally, the hexagon is simply defined as the hexagon is a polygon with six sides. to be considered a hexagon, the form must have six sides, all of which must be closed.
In conclusion, We get five triangles if we draw the diagonals of a regular hexagon starting at a single vertex.
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[100 POINTS] What is the measure of the arc from A to B that does not pass through C?
(Fill in the blanks)
Applying the inscribed angle theorem, the measure of arc AB that doesn't go through point C is: 100 degrees.
What is the Inscribed Angle Theorem?Based on the inscribed angle theorem, if ∅ is the inscribed angle measure, the measure of the central angle subtended by the same arc equals 2(∅).
m∠BAC = 40 degrees.
Central angle = 2(40) = 80 degrees [based on the inscribed angle theorem]
Corresponding arc BC = 80 degrees.
Arc AC through point B = 180 degrees [half circle]
Arc AB = 180 - arc BC = 180 - 80 = 100 degrees.
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What is the solution to the system of equations graphed below? y = x + 2 y = 3x – 2 A. (0, 2) B. (2, 4) C. (4, 2) D. (0, –2)
Answer:
B. (2, 4)
Explanation:
Given equations:
a) y = x + 2
b) y = 3x – 2
Solve them simultaneously:
x + 2 = 3x – 2
x - 3x = -2 - 2
-2x = -4
x = 2
Then find y = x + 2 = 2 + 2 = 4
Solution: (x, y) = (2, 4)
Answer:
(2,4)
Step-by-step explanation:
substitute the value of y x+2 = 3x-2
solve the value of x x = 2
substitue the value of x into one of the equations y = 2+2
solve for y value y = 4
How do I answer this question
Answer:
9³
Step-by-step explanation:
We know that,
[tex]a^b[/tex] ÷ [tex]a^c[/tex] = [tex]a^b^-^c[/tex]
By following the above, let us solve the given question.
Let us solve now.
⇒ 9⁵ ÷ 9²
⇒ 9⁵⁻²
⇒ 9³