The number of chirpes per minute if the temperature in degrees Fahrenheit is 52 is 12 chirpes per minutes
Function and valuesAccording to Dolbear's law that states the relationship between the rate at which Snowy Tree Crickets chirp and the air temperature of their environment according to the equation;
T = 50 + N - 40/4
where;
T is a temperature in degrees Fahrenheit and;
N is a number of chirps per minute.
Given the following parameters
T = 52°F
Substitute the temperature into the formula;
52 = 50 + N - 40/4
52-50 =N - 10
2 = N - 10
N = 2 + 10
N = 12chirpes
Hence the number of chirpes per minute if the temperature in degrees Fahrenheit is 52 is 12 chirpes per minutes
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Please help with this
The sale price of the item when displayed on sales costs $8.75 based on the stated original price and percentage discount offered.
The formula to calculate sale price of the item according to discount and original price will be -
Sale price = 25% × original price
Keep the value of original price in the formula to find the sale price
Sale price = 25% × 35
Performing multiplication and division by solving the percentage on Right Hand Side of the equation to find the value of sale price of the item
Sale price = 8.75
Hence, the item on sale costs $8.75.
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Simplify -5(7+x)+2/2/6x
Find the domain and range for y=4x^2+24x+13 and f(x)=-5x+20x-7
All real numbers make up the domain of a linear function, hence the domain of \(f(x)=-5x+20x-7\) is \((-\infty , \infty )\) . The range of a linear function is also the set of all real numbers, hence \(f(x)=-5x+20x-7\) has a range of (-\(\infty\), \(\infty\)).
What is domain and range?For the formula, \(y = 4x2 + 24x + 13\)
All real numbers make up the domain of a polynomial function, hence the domain of y=4x2+24x+13 is \((-\infty , \infty )\)
We can use calculus or the square root method to determine the function's range. At x=-3, where y=1, the function's minimal value is found. As a result, the function's range is \([1, \infty )\).
Using the formula \(f(x)=-5x+20x-7:\)
Using related words together, we obtain \(f(x)=15x-7.\)
Therefore, All real numbers make up the domain of a linear function, hence the domain of \(f(x)=-5x+20x-7\) is \((-\infty , \infty )\) . The range of a linear function is also the set of all real numbers, hence \(f(x)=-5x+20x-7\) has a range of (-\(\infty\), \(\infty\)).
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How do you represent a function?
We can represent a function in four ways: Algebraically, Numerically, Visually, Visually.
In the given question we have to explain how we represent a function.
A relationship between two sets of variables in which one variable depends on another is referred to as a function. Distinct kinds of functions can be presented in various ways. Normally, diagrams or formulas are used to represent functions. The following list of four methods for representing a function includes:
Algebraically
Numerically
Visually
Visually
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i'll mark brainliest, thanks in advance!
Please help me with this math
Answer:
20
Step-by-step explanation:
2(3p+4)
Let p=2
2(3*2+4)
Multiply inside the parentheses
2(6+4)
Add inside the parentheses
2(10)
Multiply
20
Hola aquí va la respuesta!!!
\(20\)
\( \saludos\)
can someone help me with this pls?
Please help me I don’t understand
Subtract the integers. 22−(−10)
Answer:
32
Step-by-step explanation:
Step 1: change 22 - ( - 10) into 22 + 10
Step 2: solve it like normal
8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.
Answer:
The value of y is 216
(and the value of x is 12)
Step-by-step explanation:
The general formula for a geometric sequence is,
\(a_n = a_1(r)^{n-1}\)
Where n represents the nth term, a_1 is the first term and r is the common ratio,
we see that,
r = 6,
the first term is,
a_1 = (x-6)
the 2nd term is,
a_2 = 3x,
the 3rd term is,
a_3 = y, finding y,
first we find x, using the above given formula we have,
\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)
x = 12,
Now, for y we can use the relation between a_3 and a_2,
\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)
y = 216
draw the line passing through the point (0,2) with a slope of -1
Answer:
y = -x + 2
Step-by-step explanation:
An artist's canvas has sides measuring 3x + 5 and 2x + 1 inches.
What is the area of the canvas? Show all work.
The artist laid the canvas flat on the floor and poured some paint in the center. The paint flows at a rate of r(t) = 2t where t represents time in minutes and r represents how far the paint is spreading on the canvas. The area of the paint can be expressed as A[r(t)]= rur?. What is the area of the circle created by the paint?
If the artist wants the circle to be at least 300 in?, will it be that large in 5 minutes? Support your answer with your work.
The area of the circle created by the paint is given by the expression 4πt².
The area of the circle is 100π, which is approximately 314.16 in².
The circle will be at least 300 in² in 5 minutes. Yes.
To find the area of the canvas, we multiply the lengths of its sides:
Area = (3x + 5) × (2x + 1)
Expanding the expression:
Area = 6x² + 3x + 10x + 5
Combining like terms:
Area = 6x² + 13x + 5
The area of the canvas is given by the expression 6x² + 13x + 5.
Now, let's find the area of the circle created by the paint.
The area of a circle is given by the formula A = πr², where r represents the radius.
The radius is given by the spreading of paint, which is r(t) = 2t.
Substituting the value of r(t) into the formula, we have:
A[r(t)] = π(2t)²
Simplifying:
A[r(t)] = π(4t²)
A[r(t)] = 4πt²
Now, let's determine if the area of the circle will be at least 300 in² in 5 minutes.
Substitute t = 5 into the area formula:
A[r(5)] = 4π(5)²
A[r(5)] = 4π(25)
A[r(5)] = 100π
Since 314.16 in² is larger than 300 in², the circle created by the paint will be larger than 300 in² in 5 minutes.
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An artist has prepared a canvas on a
rectangular frame that is 3 inches by
4 inches: What is the area, in square
inches, of the canvas?
The area of the canvas is 12 square inches and the minimum selling price is (a) $1.30
What is the area of the canvas?Here, we have
A rectangular frame that is 3 inches by 4 inches:
This means that
Base = 3 inchesHeight = 4 inchesSo, we have
Area = Base * Height
So, we have:
Area = 3 * 4
Evaluate
Area = 12
Hence, the area, in square inches, of the canvas is 12 sq inches
Calculating the minimum selling priceStart by calculating the Revenue using
Profit = Revenue - Cost
Where
Profit = 420
Cost = 400 * 0.25 = 100
So, we have
Revenue - 100 = 420
Revenue = 520
For the minimum selling price, we have
Minimum = Revenue/Number of brownies
So, we have
Minimum = 520/400
Evaluate
Minimum = 1.30
Hence, the minimum selling price is $1.30
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The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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To collect data on the signal strengths in a neighborhood, Tracy must drive from house to house and take readings. She has a graduate student, Dave, to assist her. Tracy figures it would take her 8 hours to complete the task working alone, and that it would take Dave 12 hours if he completed the task by himself.
How long will it take Tracy and Dave to complete the task together?
Tracy and Dave together complete the task in \(\frac{24}{5}\) hours
Given Tracy alone take 8 hours to complete work and dave alone take 12 hours to complete the work.
Let's say together they worked in x hours
⇒in 1 hour they worked \(\frac{1}{x}\)th part of the work
Tracy herself worked 8 hours to complete the whole task
⇒ in 1 hour Tracy completes \(\frac{1}{8}\)th part of the task
Dave himself worked 8 hours to complete the whole task
⇒ in 1 hour Dave completes \(\frac{1}{12}\)th part of the task
By proportions
⇒\(\frac{1}{8}\)+\(\frac{1}{12}\)=\(\frac{1}{x}\) { using operation addition}
⇒ x= \(\frac{24}{5}\)
Therefore,Tracy and Dave together complete the task in \(\frac{24}{5}\) hours
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\(19 = \frac{11b + 5}{2} \)
how to solve this equation
Step-by-step explanation:
11b + 5 = 38
11b = 33
b = 3 is the answer
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. •
• 1/5of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
A 100
B 33
C 25
D 20
Step-by-step explanation: D. 20
Plz Help fast WILL MARK BRAINLIEST
The diagram shows a plan for a deck. The area of the deck is 511 ft squared what is the value of x? Show your work
Please helpp
Just have a good day
The dimension of the unknown variable x of the deck is equal to 14 feet in length.
What is a Rectangle?A rectangle is a closed 2-D shape, having 4 sides, 4 corners, and 4 right angles (90°).The opposite sides of a rectangle are equal and parallel.
Given in the question is a diagram showing a plan for deck. From the data given, we can write -
Area of Deck = 511 ft.
The value of x can be found out by subtracting the area of the deck from the area of rectangle having dimensions of length 29 ft and width (16 + 4) = 20 ft. The remaining area will be equated to the sum of the area of rectangle at top right corner having dimensions of length 9 ft and width 4 ft and the area of triangle at lower right corner.
Firstly, we will find the dimensions of the triangle at the lower right. The height of the triangle will be = (20 - 9) ft = 11 ft. The base of the triangle will be = 29 - ( x + 9) ft = (20 - x) ft. Now -
[Area of Rectangle (29 x 20)] - [Area of Deck] = [Area of Rectangle (9 x 4) + Area of triangle (lower right)].
Mathematically -
580 - 511 = 9 x 4 + 1/2 × (20 - x) × 11 = 69
36 + 5.5(20 - x) = 69
36 + 110 - 5.5x = 69
146 - 69 = 5.5x
5.5x = 77
x = 14 ft
Therefore, the dimension of the unknown variable x of the deck is equal to 14 feet.
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Given y=4x+2, find the domain value if the range value is 4
The domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
Given that;
Function is,
y = 4x + 2
Since, the equation equal to the range value:
4 = 4x + 2
Then, we can solve for "x":
4 - 2 = 4x
2 = 4x
x = 1/2
Now that we have the value of "x", we can find the corresponding value of "y" by substituting it into the given equation:
y = 4x + 2
y = 4(1/2) + 2
y = 4 + 2
y = 6
Therefore, the domain value that corresponds to a range value of 4 is,
⇒ x = 1/2
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what is the projected percentage increase in the combined consumer goods exports for both hong kong and singapore between Y and Y+4?
Answer:
There is 50% increase in the combined consumer goods exports for both hong kong and singapore between Y and Y+4
Step-by-step explanation:
The remaining part of the question is attached.
Solution
Increase in consumption of consumer good for Hong Kong HKD
Increase in consumption of goods for Singapore HKD
Combined increase
%
Option D
Simplify.
3^3+5⋅5
52
58
70
190
Find the measure of side IJ
Answer:
IJ units
Step-by-step explanation:
What else is there..?
Find two square numbers that total 45
1. The possible missing terms to make x²_____+100 a perfect square trinomial are
a. 4x and 25x.
b. -10x and 10x.
c. -20x and 20x.
d. -4x and -25x.
Answer:
c. -20x and 20x
Step-by-step explanation:
x² is the square of x.
100 is the square of 10 and of -10.
The middle term of (a + b)² is 2ab.
For b = 10:
2ab = 20x
for b = -10:
2ab = -20x
Answer: c. -20x and 20x
Can some answer and explain thank you! I’ll mark brainliest too❤️❤️
Answer:
B= -1cm negative 1 + dx negative 1 A negative 1
step-by-step explanation:
SIMPLIFYING:
A(bx+c)=d
(bx*a+c*a)=d
SOLVING FOR VARIABLE B :
Move all the terms containing b to the left , all of
Add ' -1cA ' to each side of the equation.
b x a + Ca + -1cA= -1cA+d
COMBINE LIKE TERMS: cA + -1cA=0
b x A to = -1cA + d
b x A = -1cA + d
Divide each side by 'xA'
b=-1cx negative 1 + dx negative 1 A negative 1
hope it is helpful .
Complete both transformations below. Then enter the final coordinates of the figure.
A (-4,0)
B
A" ([?], []) C" ([], [])
C (-3,-3)
1) Reflect across y-axis 2) < -5,2>
Answer:
A"(-1, 2)B"(-5, 1)C"(-2, -1)Step-by-step explanation:
You want points A(-4, 0), B(0, -1) and C(-3, -3) reflected across the y-axis and translated left 5 and up 2.
TransformationThe reflection across the y-axis changes the sign of the x-coordinate:
(x, y) ⇒ (-x, y)
The translation adds the translation vector to the reflected coordinates.
(x, y) ⇒ (x -5, y +2) . . . . . . translation (by itself)
Then the result of both transformations is ...
(x, y) ⇒ (-x -5, y +2)
For a number of points, this arithmetic is conveniently accomplished by a calculator. The result is ...
A"(-1, 2)B"(-5, 1)C"(-2, -1)Choose the terms that complete the definitions for transformations.A is when an object moves in a circular arc around a point. In a , each point in the preimage and its corresponding point in the image are at equal distances from a given line. Also, the line segment joining two such points is perpendicular to the given line.In , the shape and size of the image will remain the same as the preimage.
The given statement is,
A______ is when an object moves in a circular arc around a point. In a______, each point in the preimage and its corresponding point in the image are at equal distances from a given line. Also, the line segment joining two such points is perpendicular to the given line.
In _____, the shape and size of the image will remain the same as the preimage.
To fill the blanks:
We know that,
When an object moves in a circular arc around a point, then the transformation is known as rotation.
Each point in the preimage and its corresponding point in the image are at equal distances from a given line and also, the line segment joining two such points is perpendicular to the given line. Such transformations are known as reflection.
In both a rotation and reflection, the shape and size of the image will remain the same as the preimage.
So, the answer is,
A rotation is when an object moves in a circular arc around a point. In a______, each point in the preimage and its corresponding point in the image are at equal distances from a given line. Also, the line segment joining two such points is perpendicular to the given line.
In _____, the shape and size of the image will remain the same as the preimage.
Step-by-step explanation:
Factor 48-6 using GCF
Answer:
I think the answer is six i just searched it or it could be 12
Step-by-step explanation:
The greatest common factor (GCF) of 48 and 6 is 6, so:
48 - 6 = 42.
this isn't college level *laugh*
Set of whole numbers from 1 to 10 inclusive greater than seven and odd
Answer:
{7, 9}
(Numbers from 1 to 10 equal to or greater than 7 are 7 and 9)
Step-by-step explanation:
We have to find the set of whole number greater than and equal to 7 from 1 to 10,
Now, From 1 to 10, the odd numbers are, 1,3,5,7,9,
And of these, 7 and 9 are equal to or greater than 7
So, we get the set,
{7, 9}