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Ed spoke to his cousin in Australia, who told him it was 28 degrees C that day. Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit. What is the temperature in degrees Fahrenheit? Use the formula, F=9/5 C+32, where F is the number of degrees in Fahrenheit and C is the number of degrees in Celsius. Round your answer to the nearest whole number.
A)48 Degrees F
B)50 Degrees F
C)82 Degrees F
D)108 Degrees F
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Answer:
C)82 Degrees F
Step-by-step explanation:
The formula we have is F = 9/5C + 32. Substituting the value for Celsius, 28, into the formula,
F = 9/5(28) + 32
F = 1.8(28) + 32
F = 50.4 + 32
F = 82.4
To the nearest whole number, this is 82 degrees.
The converted temperature in degrees Fahrenheit is 82 Degrees F
What is temperature conversion?Temperature conversion is the process of changing the value of temperature from one unit to another. We measure temperature on scales like Kelvin, Celsius, and Fahrenheit, etc.
Given that, the temperature in Australia, is 28 degrees C, Ed wasn’t sure if that was hot or cold, so he converted the temperature to degrees in Fahrenheit.
We know that,
The formula to convert the temperature into Fahrenheit is:
F = 9/5C + 32.
Substituting the value for Celsius, 28, into the formula,
F = 9/5(28) + 32
F = 1.8(28) + 32
F = 50.4 + 32
F = 82.4
Hence, the converted temperature in degrees Fahrenheit is 82 Degrees F
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What is the wavelength for radio waves with frequency 3 × 109?
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Answer:
1 x 10^-1m or A on edge
Step-by-step explanation:
just took the test
(Photo attached) please answer
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Area = [tex] \pi(16^{2})[/tex]
Area = 256π feet squared
They also tell us that the radius of pool 1 is equal to the diameter of pool 2. The diameter is 2 x radius. Using this info, we can assume the radius of pool 2 is equal to 8. Using the radius, we can plug it into the equation we used above to find the area of pool 2.
Area = [tex] \pi 8^{2} [/tex]
Area = 64π feet squared
Finally, the problem asks us to find the difference of pool 2's area from the area of pool 1.
256π - 64π = 192π
Your final answer is (B): 192π square feet.
Find the surface area of the pyramid represented by this net. [type your answer as a number]
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Four triangles = 22.5 x 34 = 90
Area of the square in the middle = 5 x 5 = 25
Total Area = 90 + 50 = 140 square cm
Answer:
90 + 50 = 140 square cm
Determine the unknown side length of the golden rectangle with the given side length.
s = ____ t=9
a.
5.56
c.
4.94
b.
4.85
d.
5.26
Please select the best answer from the choices provided
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Explanation:
The side lengths of the golden rectangle are in the proportion:
1
--------------------
golden number
The golden numbrer is:
1 + √5
-----------
2
So, the ratio is:
1
--------------
1 + √5
---------
2
And, using the properties of the division of fractions, that is equivalent to:
2
-------------
1 + √5
Since you have the given side t = 9, you can set the proportion, to find the unknown lenght, s:
2 s
--------- = ---------
1 + √5 t
2 s
--------- = ---------
1 + √5 9
And you can solve for s:
s = 9 * 2 / (1 + √5) ≈ 18 / (1 + 2.236) = 18 / (3.236) ≈ 5.56.
Which is the option a. 5.56
To determine the unknown side length of a golden rectangle, set up a proportion and solve a quadratic equation.
Explanation:The golden rectangle is a rectangle in which the ratio of the longer side to the shorter side is equal to the golden ratio, approximately 1.618. To determine the unknown side length, we can set up a proportion using the given side length and the golden ratio:
s / t = (s + t) / s
Substituting the given values, we have:
s / 9 = (s + 9) / s
Cross multiplying and simplifying, we get:
s^2 = 9(s + 9)
By solving this quadratic equation, we find that the unknown side length is approximately 4.94. Therefore, the correct answer is c. 4.94.
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Hello, I need help with my geometry homework. It has to do with simplifying radicals and sin,cos, and tan. Thank you for your time and consideration.
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Find the vertex of this parabola. y=-2x+4x+12
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Answer:
(1,14)
Step-by-step explanation:
Answer:
Vertex of the parabola is ( 1 , 14 ).
Step-by-step explanation:
Given Equation of parabola is [tex]y=-2^2+4x+12[/tex]
We have to find the vertex of the parabola.
We first convert the given equation of parabola in standard equation of parabola using completing the square method.
Standard equation of parabola,
[tex](x-h)^2=4a(y-k)[/tex]
here, ( h , k ) is coordinates of the vertex of the parabola.
consider,
y = -2x² + 4x + 12
y = -2( x² - 2x - 6 )
y = -2 ( x² - 2x + 1² - 1² - 6 )
y = -2 ( x -1 )² - 7 × ( -2 )
y - 14 = -2 ( x - 1 )²
[tex](x-1)^2=\frac{1}{2}(y-14)[/tex]
By comparing,
vertex = ( 1 , 14 )
Therefore, Vertex of the parabola is ( 1 , 14 ).
dianes plane is due to arrive when the hour hand is just the 3 and the minute hand is the 4. what time should the plane arrive ?
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Juan has x apples and 8 oranges how many pieces of fruit does he have give your answer in terms of x
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The equation would be: x+8=
Final answer:
Juan has a total of x + 8 pieces of fruit, where x represents the number of apples and the 8 represents the fixed number of oranges.
Explanation:
The question involves a simple algebraic expression to determine the total number of pieces of fruit Juan has. Given that Juan has x apples and 8 oranges, the total number of pieces of fruit he has can be represented as the sum of these two quantities.
In algebraic terms, the total number of pieces of fruit Juan has is x + 8, where 'x' represents the unknown number of apples. There is no need for more complex operations or considerations; the answer simply requires the addition of the two amounts.
Can someone please help me with number 35
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Using the properties of exponents, the expression is simplified as (4/3)x⁵y².
What is the simplification of the expression?To simplify the given expression, we need to use properties of exponents
Taking the numerator;
[(2x³y)⁴] = (2⁴)(x³)⁴(y)⁴ = 16x¹²y⁴
Next, let's simplify the denominator:
3x²(4x⁵y²) = 3 * 4 * x² * x⁵ * y² = 12x⁷y²
This can be expressed as;
[(2x³y)⁴] / [3x²(4x⁵y²)] = (16x¹²y⁴) / (12x⁷y²)
Take the common factors and divide both of them;
(16x¹²y⁴) / (12x⁷y²) = (4/3)(x¹² / x⁷)(y⁴ / y²) = (4/3)x¹²⁻⁷y⁴⁻² = (4/3)x⁵y²
Therefore, the simplified expression is (4/3)x⁵y².
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a jogger ran 3 miles due east of his house. then he ran 5 miles at a heading of 30 east of north. how far is he from his house after running 8 miles?
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Final answer:
The jogger is approximately 7 miles from his house after running 3 miles east and then 5 miles at a 30° angle east of north, calculated using trigonometric functions and the Pythagorean theorem.
Explanation:
The question asks how far a jogger is from his house after running a total of 8 miles, initially 3 miles due east and then 5 miles at a 30° angle east of north. To solve this, we can use trigonometric functions to find the resultant displacement. The first leg of the journey is straightforward, 3 miles directly east. The second leg can be broken into its northward and eastward components using sine and cosine functions, with the length of the leg being the hypotenuse.
Northward component: 5 miles × cos(30°) = 4.33 miles
Eastward component: 3 miles (initial) + (5 miles × sin(30°)) = 3 + 2.5 = 5.5 miles
To find the total displacement, we calculate the straight-line distance from the starting point to the end point using the Pythagorean theorem.
Displacement = √(northward component² + eastward component²) = √(4.33² + 5.5²) = √(18.7489 + 30.25) = √(48.9989) = 7 miles approximately.
Therefore, the jogger is approximately 7 miles from his house.
To find the distance and direction from the starting point after the jogger's two separate runs, we apply vector addition by decomposing the second leg into its components with trigonometry and then use the Pythagorean theorem and arctangent function to find the resultant magnitude and direction.
Explanation:The question involves determining the distance from the starting point after a two-leg journey with given directions and distances. To solve this, we need to apply principles of vector addition to combine the two displacements into one resultant displacement. The first displacement is due east, and can be represented as a straight line on a horizontal axis. The second displacement, at a 30° angle east of north, requires us to decompose it into its northward and eastward components. These components are found using trigonometry: by multiplying the distance by the cosine (for the eastward part) and sine (for the northward part) of the angle.
After computing the respective components of the second displacement, we add both eastward displacements together and both northward displacements together to find the total displacement in the east and north directions. The final step is to use the Pythagorean theorem to determine the magnitude of the resultant vector, and trigonometry (specifically, the arctangent function) to find the direction of the resultant vector from the origin, which provides the required distance and direction from the jogger's house after running.
Mrs.Anderson bought party favors for the 24 students in her class. Each favor cost $2.27. How much did all the party favors cost?
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Find the value of X for the figure given the perimeter
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First of all, you should know that the formula to find the perimeter of a rectangles is P=2b+2h where b is the base and h the height of the rectangle.
P=2b+2h Substitute the given values
30=2(3x)+2(2x) Associate the terms
30=6x+4x Combine like terms
30=10x Divide in both sides by 10 to isolate x
3=x
The value of x for the rectangle is 3 units.
At a healthy foods store in Belleville, organic sugar used to retail for $4 per pound. The price was recently increased to $5 per pound. What is the percent of increase in the price of this item?
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Final answer:
The price of organic sugar at the Belleville store increased from $4 to $5 per pound, which is a 25% increase in price.
Explanation:
The percent of increase in the price of organic sugar from $4 to $5 per pound can be calculated through a few steps. To determine the percentage increase, you subtract the old value from the new value, then divide the result by the old value. Finally, you multiply by 100 to convert it into a percentage.
Here is the step-by-step calculation:
Determine the increase in price: $5 - $4 = $1.
Divide the increase by the original price: $1 ÷ $4 = 0.25.
Multiply by 100 to get the percentage: 0.25 × 100 = 25%.
Therefore, the price of organic sugar increased by 25%.
The price of organic sugar at a healthy foods store in Belleville was recently increased from $4 per pound to $5 per pound. The percent of increase in the price of this item is 25%.
Explanation:To find the percent of increase in the price of the organic sugar, we can use the formula:
Percent increase = ((new price - old price) / old price) * 100
First, let's calculate the percent increase:
Percent increase = (($5 - $4) / $4) * 100 = (1 / 4) * 100 = 25%
Therefore, the percent of increase in the price of organic sugar is 25%.
Mitosis is a process of cell reproduction in which one cell divides into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes. If you begin with 100 E. coli bacteria, how many will there be in 1 hour?
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Answer:
1600
Step-by-step explanation:
There will be 1600 E. coli bacteria, in 1 hour.
What is multiplication?In maths, to multiply means to add equal groups. When we multiply, the number of things in the group increases. The two factors and the product are parts of a multiplication problem.
Given that, Mitosis is a process of cell reproduction in which one cell divides into two identical cells. E. coli is a fast-growing bacterium that is often responsible for food poisoning in uncooked meat. It can reproduce itself in 15 minutes.
In the beginning, there are 100
After 15 minutes, there are 2*100=200
After 30 minutes, there will be 2*200 =400
After 45 minutes = 400*2 = 800
After 60 minutes = 800*2 = 1600
Hence, in 1 hour there will be 1600 E. coli bacteria.
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A Metal worker traced a triangular piece of sheet metal on a coordinate plane as shown
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The triangle is a Right Angled Triangle. In a right angled triangle the length of hypotenuse is always larger than the base and perpendicular. The end points of the hypotenuse are (2,4) and (-3,-2). Using the distance formula, we can find the length of hypotenuse:
[tex] \sqrt{ (-3-2)^{2} + (-2-4)^{2} } \\ \\ = \sqrt{ (-5)^{2} + (-6)^{2} } \\ \\ = \sqrt{25+36} \\ \\ = \sqrt{61} \\ \\ =7.8 [/tex]
Thus the length of longest side of the metal triangle is 7.8 inches, rounded to nearest tenth of an inch.
Jane likes to exercise daily. The table shows the number of calories y she burns by exercising steadily for x minutes. How many calories would she burn by exercising for 29 minutes?
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Answer:
319 cal/min.Step-by-step explanation:
The table is attached.
You can observe in the table that there's no a value for 29 minutes.
That means we need to find the linear expression and then calculate the answer.
First, we need to find the ratio of change using two pairs of the given table and the following formula, (20,220) and (40,440) are the points
[tex]m=\frac{440-220}{40-20}=\frac{220}{20} =11[/tex]
The ratio of change states that Jane burns 11 calories per minute. So, after 29 minutes, she will burn
[tex]11cal(29min)=319 cal/min[/tex]
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Justine is following a recipe that calls for 4 cups of lemon juice for every 3 cups of sugar. If she uses 3 cups of lemon juice, how much sugar should she use?
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sugar = 3/4 x 3 = 2 1/4
2 1/4 cups of sugar is needed
A recent poll of 85 randomly selected cable subscribers found that 39% would be willing to pay extra for a new nature channel
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Answer:
Between 29% and 49% (just took quiz on Edge)
The rest of the question is: To the nearest percent, with a confidence level of 95% (z*- score 1.96), what is the confidence interval for the proportion of cable subscribers who would be willing to pay extra for the new nature channel?
how do i solve log (×)6=4
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6 = [tex] x^{4} [/tex]
x = [tex] \sqrt[4]{6} [/tex]
x = 1.565
At a health club, 60% of the members are men and 40% of the members are women. The average age of the men is 32 years. The average age of the women is 28 years.
What is the average age of all the members of the health club?
Enter your answer as a decimal in the box.
_ years
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⇒ 60% of the members are 32 years old.
40% of the members are women and the average age of women is 28 years old.
⇒ 40% of the members are 28 years old.
Average age = 0.6 x 32 + 0.4 x 28
Average age = 19.2 + 11.2
Average age = 30.4
Answer:
The average age is 30.4.
Step-by-step explanation:
Simon sold bottles of water at the marathon on Saturday for $0.75 per bottle. He sold 43 bottles. How much money did he earn?
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.75 is the price per bottle and Simon sold 43
A bookcase measures 13 feet wide and 24 feet tall wat wood the bookcases measurements be on the scale drawing using the scale 3cm:2 ft
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Measurement of the bookcase on the scale drawing using the scale 3cm:2 feet is width =19.5 cm and height = 36 cm
What is Scaling?
Scaling an object means multiplying every linear dimension of it by the same factor
What is Unitary method?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given,
Width of the bookcase = 13 feet
Height of the bookcase = 24 feet
Given scale is 3cm : 2 feet
Therefore for 1 feet = 1.5 cm
Then,
Width of the bookcase = 13×1.5= 19.5 cm
Height of the bookcase = 24×1.5= 36 cm
Hence, the measurements of the bookcase after scaling is width =19.5 cm and height = 36 cm
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How can I write an expression for: susan has 10 apples and 6 oranges. How many pieces of fruit does she have?
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bailey and ella are employees for a company. bailey is making a salary or $22,776. bailey is earning a salary this is 48% lower that the salary of ella. what salary is ella earning?
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52% = 22776
1% = 438
100% = 438 x100 = $43800
Suppose 25 out of 175 people said they like to play disc golf and 5 out of every 12 of the players have a personalized flying disc. At the same rates, in a group of 252 people , predict how many you would expect to have a personalized flying disc.
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1/7 of 252 is 252÷7= 36
36×5/12= 15
So, we can expect 15 people to have a personalised flying disc.
How many kiloliters are in 32,500 centiliters
Answers
(Sorry If It's Wrong!)
KL = 32500 / 100000
KL = .325
A water fountain shoots up a jet of water
Answers
Answer:more variables are needed to solve
Step-by-step explanation:
slope (-8,18) and (-14,-3)
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The slope of the points (-8, 18) and (-14, -3) will be 7/2.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points are,
⇒ (-8, 18) and (-14, -3)
Now,
Since, We know that,
The slope of the line passing through the points (x₁ , y₁) and (x₂, y₂) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
Hence, The slope of the line passing through the points (-8, 18) and
(-14, -3) will be;
⇒ m = (y₂ - y₁) / (x₂ - x₁)
⇒ m = (- 3 - 18) / (- 14 - (-8))
⇒ m = - 21 / (- 14 + 8)
⇒ m = - 21 / - 6
⇒ m = 7/2
Thus, The slope of the points (-8, 18) and (-14, -3) will be 7/2.
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The student is asking to calculate the slope between two points, (-8, 18) and (-14, -3). By using the slope formula (rise over run), we computed the slope to be 3.5.
Explanation:The student is asking for the calculation of the slope between two points, which is a concept in algebra and coordinate geometry. To find the slope, you can use the formula:
slope = (y2 - y1) / (x2 - x1)Applying this to the given points (-8, 18) and (-14, -3), we find:
slope = (-3 - 18) / (-14 - (-8))= (-21) / (-6)
= 21/6
= 3.5
Therefore, the slope is 3.5.
how do i fill in this chart
Answers
So in the end this is how it should look: