Answer:Let's convert hours to minutes:
Now we have:
44 minutes to 300 minutes
We write the ratio as a fraction:
We can reduce both the numerator and denominator by 4, to get:
The correct answer is:
Step-by-step explanation:
What is the diffrence between b and 9
Answer: b-8
Step-by-step explanation:
b-9=b-9
b-9+1=b-8
i need help with everyone
The growth rate is - 0.17
How to solve for the growth ratea. Growth rate = (38-55)/100 = -0.17
This shows that it is decreasing
ii. Groth rate = 38-12.5)/(100-250)
= -0.17
This shows that it is decreasing as well
b. The relationship is a linear function. This is because rate of change of price and the number of days are equal
c. formula for game price in terms of days would be:
Price = -0.17*d + 55.
d = days
d. when price is 48.20
48.20 = -0.17d + 55
48.20 - 55 = -0.17d
d = 40
40 days after game was released
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Rahul plans to invest $25,000 in a retirement account that compounds 6% monthly . He has 25 years left until he retires . How much will he have in the account when he retires?
The total amount that Rahul will have is 108,006.20.
Compound Interest:Compound interest is a type of interest where the interest earned on a principal amount is added to the principal, and the new total amount becomes the basis for calculating interest in the next period.
In other words, the interest is earned not only on the principal amount but also on the accumulated interest.
The formula for compound interest is:
A = P (1 + r/n)^(n*t)Here we have, Rahul's plans to invest $25,000 in a retirement account that compounds 6% monthly.
From the data,
The principal amount, P = 25000
Rate of interest, r = 6% = 6/100 = 0.06
Time period, t = 25 years
Number of compounds, n = 12 [ Since compounded annually ]
By using the formula, A = P (1 + r/n)^(n×t)
A = 25000 [ 1 + 0.6/12]⁽¹²ˣ²⁵⁾
A = 25000 [ 1 + 0.005]⁽³⁰⁰⁾
A = 25000 [1.005]⁽³⁰⁰⁾
A = 108,006.20 (rounded to the nearest cent)
Therefore,
The total amount that Rahul will have is 108,006.20.
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Megan puts $200.00 into an account to use for school expenses. The account earns 9% interest, compounded annually. How much will be in the account after 5 years?
Answer:
To solve this problem, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
where:
A = the final amount
P = the principal (initial amount)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the time (in years)
In this case, we have:
P = $200.00
r = 0.09 (9% expressed as a decimal)
n = 1 (compounded annually)
t = 5 years
Plugging these values into the formula, we get:
A = $200.00(1 + 0.09/1)^(1*5)
A = $200.00(1.09)^5
A = $200.00(1.538624)
A = $307.72
Therefore, after 5 years, Megan will have $307.72 in her account.
Step-by-step explanation:
The function f(x)=√ Is modified as follows:
. It is multiplied by-3.
• x is replaced by x+3.
The new function is f(1) = -3√√2+3
Which of the following transformations will occur on the new, modified graph? Choose all that apply.
reflection over the y-axis
dilation
O reflection over the x-axis
Overtical translation
Answer:
Reflection in the x-axis
Step-by-step explanation:
f(x) = √x
Shift left 3 units:
f(x + 3) = √(x + 3)
Reflection in x-axis:
-f(x + 3) = -√(x + 3)
Vertical stretch:
-3.f(x + 3) = -3√(x + 3) = g(x)
g(1) = -3√((1) + 3)
g(1) = -6
How many solutions does the system of linear equations represented in the graph have? Coordinate plane with one line that passes through the points negative 2 comma negative 3 and 0 comma negative 2 and another line that passes through the points 0 comma 3 and 1 comma 1. One solution at (−1, 2) One solution at (2, −1) No solution Infinitely many solutions
Answer:
One solution at (2, -1)
Step-by-step explanation:
You will want to write the equations for both pairs of points:
(-2,-3) and (0,-2)
The slope is the change in y over the change in x. The first number of the ordered pairs is the x value and the second number in the ordered pair is the y values. Find the change by subtraction
[tex]\frac{-2 - -3}{0 - -2}[/tex] = [tex]\frac{-2+ 3}{0 + 2}[/tex] = [tex]\frac{1}{2}[/tex]
The slope (m) is 1/2.
The y intercept is when x = 0. In the point (0,-2) x is 0, so the y-intercept is -2.
The y-intercept (b) is -2.
y = mx + b Substitute 1/2 for m and -2 for b
y = [tex]\frac{1}{2}[/tex]x - 2
(0,3) and (1,1)
The slope is
[tex]\frac{1-3}{1-0}[/tex] = [tex]\frac{-2}{1}[/tex] = -2
The slope is --2.
The y intercept is 3.
y = mx + b Substitutes -2 for m and 3 for b.
y = -2x + 3
Set the 2 equation equal to each other and solve for x.
-2x + 3 = 1/2 x -2 Multiply all the way through by 2 to clear the fraction.
-4x + 6 = x - 4 Add 4x to both sides
-4x + 4x + 6 = x + 4x -4
6 = 5x -4 Add 4 to both sides
6 + 4 = 5x - 4 + 4
10 = 5x Divide both sides by 5
2 = x
Take either of the two original equations and substitute 2 for x and solve for y
y = -2x + 3
y = -2(2) + 3
y = -4 + 3
y = -1
The solution is (2,-1)
Helping in the name of Jesus.
A parabola can be drawn given a focus of (1, 11)(1,11) and a directrix of y=3y=3. Write the equation of the parabola in any form.
The result of simplifying this answer is (x - 1)2 = 16(y - 7) (y - 7) The equation for the parabola is presented here in vertex form.
what is parabola ?A parabola is a U-shaped curve in mathematics that is produced by the graph of a quadratic function. It is a particular kind of conic section, which is a circle made when a plane and a cone cross each other. A quadratic function with the following standard form can depict a parabola: Y = ax2+bx+c where are constants a, b, and c. Which way the parabola expands depends on the sign of the coefficient a.
given
We can use the following formula to express the equation of a parabola given a focus and a directrix:
where (h,k) is the parabola's vertex, p is the separation between it and the centre, and the directrix is represented by the horizontal line y = k - p.
The centre in this instance is (1,11), and the directrix is y=3.
We also understand that p is the distance, in this instance 4 units, between the vertex and the focus (since the focus is 4 units above the vertex). Therefore, we can enter the numbers into the formula to obtain:
(x - 1)^2 = 4(4)(y - 7) (y - 7)
The result of simplifying this answer is (x - 1)2 = 16(y - 7) (y - 7) The equation for the parabola is presented here in vertex form.
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Which met represents this solid figure
A. Net 1
B. Net 2
C. Net 3
D. Net 4
Pls help
class 4
66640 divide 31
66640 divided by 31 is approximately equal to 2149.68.
What is division?
Division is a basic arithmetic operation that is used to split a quantity into equal parts or to find out how many times one quantity is contained within another quantity.
When 66640 is divided by 31, the result is:
66640 ÷ 31 =2149.68 (rounded to two decimal places)
Therefore, 66640 divided by 31 is approximately equal to 2149.68.
In general, when we perform division, we are asking the question "how many times does the divisor fit into the dividend?" The dividend is the number being divided, the divisor is the number we are dividing by, and the result is the quotient.,
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Express the following expression as a function of an acute angle less than 45°:
cot (-859°)
cot (-859°) can be expressed as cot 41° an acute angle which is less than 45°
What is trigonometry?Trigonometry is used in navigation directions. Estimate the direction you need to place your compass to get a straight line. With the help of a compass and navigation trigonometric functions, it's easy to find a place or find the distance to see the horizon.
What is mathematical expression?A Mathematical Statement which contains numbers and variables.
Angle: The two straight lines meeting at the vertex(a common point)
According to the question:
cot (-859) can be expressed as:
cot (-859 + 360x2)= cot (-859 +720)= cot (139)= cot (180 -139)= cot 41°(or)cot(-859) = cot(-859 + 180°x5)= cot (859 +900)= cot (41)°
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HELP ASAP, WILL GIVE FIRST ANSWER BRAINLIEST, 50 POINTS!!!
Triangle NMO is drawn with vertices N(−4, −2), M(−1, −1), O(−4 , −5). Determine the image coordinates of N′M′O′ if the preimage is translated 7 units to the left.
N′(3, −2), M′(6, −1), O′(3, −5)
N′(−4, −9), M′(−1, −8), O′(−4, −12)
N′(−4, 5), M′(−1, 6), O′(−4, 2)
N′(−11, −2), M′(−8, −1), O′ (−11, −5)
Answer: Your welcome!
Step-by-step explanation:
N′(−11, −2), M′(−8, −1), O′ (−11, −5)
The image coordinates of N′M′O′ if the preimage is translated 7 units to the left are N′(−11, −2), M′(−8, −1), O′ (−11, −5). This is calculated by subtracting 7 from the x-coordinate of each point in the original triangle NMO. For example, the x-coordinate of point N in the original triangle is -4, so the x-coordinate of point N′ in the translated triangle is -4 - 7 = -11. The y-coordinate of point N does not change, so the y-coordinate of point N′ is also -2.
Answer:
To translate the triangle 7 units to the left, we need to subtract 7 from the x-coordinates of each vertex:
N' = (N_x - 7, N_y) = (-4 - 7, -2) = (-11, -2)
M' = (M_x - 7, M_y) = (-1 - 7, -1) = (-8, -1)
O' = (O_x - 7, O_y) = (-4 - 7, -5) = (-11, -5)
Therefore, the image coordinates of N'M'O' are (-11, -2), (-8, -1), and (-11, -5).
So the answer is N′(−11, −2), M′(−8, −1), O′ (−11, −5).
The number of hours of daylight on a given day in City A is given by the following function, where x is the number of days after January 1.
a. The amplitude of the function y = 4 sin [(2π / 365)(x - 79)] + 12 is 4.
b. The period of the function y = 4 sin [(2π / 365)(x - 79)] + 12 is 365 days.
c. There are approximately 16 hours of daylight on the longest day of the year.
d. There are approximately 8 hours of daylight on the shortest day of the year.
e. The graph for the function is obtained.
What is a function?
In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.
The function is given as y = 4 sin [(2π / 365)(x - 79)] + 12.
a. The amplitude of the function is the coefficient of the sine function, which is 4.
Therefore, the amplitude of the function is 4.
b. The period of the function is given by the formula: period = (2π/b), where b is the coefficient of x in the sine function.
In this case, b = (2π/365), so the period is -
period = (2π / (2π/365)) = 365
Therefore, the period value is 365 days.
c. The longest day of the year occurs on the summer solstice, which is around June 21.
On this day, x = 171 (assuming January 1 is x = 1). Plugging x = 171 into the function gives -
y = 4 sin [(2π/365)(171 - 79)] + 12 = 15.998 hours
Therefore, the number of hours for daylight is 16 hours.
d. The shortest day of the year occurs on the winter solstice, which is around December 21.
On this day, x = 355. Plugging x = 355 into the function gives -
y = 4 sin [(2π/365)(355 - 79)] + 12 = 8.002 hours
Therefore, the number of hours for daylight is 8 hours.
e. To graph the function for one period, we need to find the values of y for x ranging from 1 to 365.
We can use a graphing tool or software to plot the function.
The graph is plotted.
The x-axis represents the number of days after January 1, and the y-axis represents the number of hours of daylight.
The function oscillates between 8 and 16 hours of daylight over the course of one year, with the maximum occurring around day 171 and the minimum occurring around day 355.
The graph shows that the function is periodic, with a period of 365 days, as expected.
Therefore, the function is plotted.
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25 The pyramid P is formed from two parts made of different materials. top bottom The top part of P has a mass of 92.8g and is made from material with a density of 2.9g/cm3 The bottom part of P has a mass of 972.8g The average density of P is 4.7g/cm3 Calculate the volume of the top part of P as a percentage of the total volume of P. Give your answer correct to 1 decimal place. You must show all your working.
The volume of the top part of the pyramid is 13.4% of the total volume.
What is density? How is density calculated?The amount of mass that a material has in relation to its volume is measured by its density. By dividing the substance's mass by volume, it is determined. Density is calculated as follows: density = mass/volume
A fundamental idea in physics, density is utilised in many branches of research and engineering, including the construction of effective engines and turbines, calculating the buoyancy of objects in fluids, and forecasting the behaviour of materials under stress.
Given that, average density of the entire pyramid is 4.7g/cm3 and that the bottom part has a mass of 972.8g.
The density is given as:
density = mass/volume
Substituting the value we have:
4.7g/cm3 = 972.8g/volume
volume = 207.23 cubic cm.
For the top part, density of 2.9g/cm3 and a mass of 92.8g. :
density = mass/volume
2.9g/cm3 = 92.8g/volume
volume = 32 cubic cm.
The percent of the top part with respect to total volume is:
percentage = (volume of top part / total volume) x 100
total volume = volume of top part + volume of bottom part
total volume = 32 cm3 + 207.23 cm3
total volume = 239.23 cm3
percentage = (32 cm3 / 239.23 cm3) x 100
percentage = 13.4%
Therefore, the volume of the top part of the pyramid is 13.4% of the total volume.
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Identify the factor pair of ac you could use to rewrite b to factor the trinomial by grouping.
3x²2² +11x-4
The factors of ac are
(Use a comma to separate answers as needed.)
(x+4), (3x-1) are the required factors in the given trinomial solution.
The solution provided below has been developed in a clear step by step manner.
Step: 1
Given polynomial is 3x²2² +11x-4
=3x(x+4)-1(x+4)
=(x+4)(3x-1)
Explanation: Please refer to solution in this step.
Step: 2
(x+4), (3x-1) are the required factors
A factor is a number that completely divides another number. To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them. Factors can be found using either division or multiplication.
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Solve for x in log3 81 = x.
By answering the above question, we may infer that We may reduce this equation to: Applying the rule that log base an of ab = b 4 = x Hence, x = 4.
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The equation may be changed to read:
x = log base 3 of 81.
81 being equivalent to 3 to the power of 4, we get the following:
x Equals log base 3 of 34.
We may reduce this to: Applying the rule that log base an of ab = b
4 = x
Hence, x = 4.
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can someone help me with this please?!
Answer:
[tex]x^4-3x^2-x^2-4[/tex]
Step-by-step explanation:
Given information.
P(x) = R(x) - C(x)
[tex]R(x) = 2x^4-3x^3+2x-1[/tex] and [tex]C(x) = 2x^4-x^2+2x+3[/tex]
[tex](2x^4-3x^3+2x-1) - (x^4-x^2+2x+3)[/tex]
Distribute the negative then solve by simplying either add or subtracting.
[tex](2x^4-3x^3+2x-1) +(-x^4+x^2-2x-3)\\[/tex]
[tex](2x^4-x^4)-3x^3-x^2+(2x-2x)+(-1-3)\\\\(x^4) -3x^3-x^2+(0x)-4\\\\x^4 -3x^3-x^2-4[/tex]
Pears cost $3 for a 4 pound bag. If pears cost less per pound than apples but more per pound than peaches, which of the following could be the price per pound of apples and peaches?
Apples are $1.13 per pound and peaches are $1.04 per pound
apples are $1.13 per pound and peaches are $0.63 per pound
apples are $1.13 per pound and peaches are $0.75 per pound
apples are $0.63 perpound and peaches are $1.13 per pound
The price of Apples are $1.13 per pound and peaches are $0.63 per pound Option B
How to find the price per pound of apples and peachesIf pears cost $3 for a 4 pound bag, then the price per pound of pears is:
3/4 = $0.75 per pound
Since pears cost less per pound than apples but more per pound than peaches, we can set up the following inequality:
peaches < pears < apples
Substituting the known price per pound of pears, we get:
peaches < $0.75 < apples
Now, we can check each option to see which satisfies the inequality:
Apples are $1.13 per pound and peaches are $1.04 per pound:
$1.04 < $0.75 < $1.13
This option does not satisfy the inequality.
Apples are $1.13 per pound and peaches are $0.63 per pound:
$0.63 < $0.75 < $1.13
This option satisfies the inequality.
Apples are $1.13 per pound and peaches are $0.75 per pound:
$0.75 < $0.75 < $1.13
This option does not satisfy the inequality.
Apples are $0.63 per pound and peaches are $1.13 per pound:
$1.13 < $0.75 < $0.63
This option does not satisfy the inequality.
Therefore, the price per pound of apples and peaches that could be consistent with the given information is: apples are $1.13 per pound and peaches are $0.63 per pound.
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Help please
: Thank you
The mistake is in the second step, the negative signs shouldn't be on the diagonal elements.
What is the error in the inverse matrix equation?Here we can see that someone is trying to find an inverse matrix.
To get it, we need to change the order of the elements in the diagonal (thing that has ben done) and change the signs of the elements that are not in the diagonal (in the image we can see that this person changed the signs on the diagonal).
So there is the mistake, the negative signs should be in the 3 and the 5 in the second step.
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What is the area of this composite figure round to the nearest hundredth
The area of the composite figure is 14.71 square units
What is the area of the composite figure?The area of the composite figure is found by calculating the sum of the areas of the various parts.
The area of the figure = area of sector + area of triangle + area of trapezium
Area of sector = 135/360 * π * 2²
Area of sector = 4.71 square units
Area of triangle = ¹/₂ * 2 * 1
Area of triangle = 1 square unit
Area of trapezium = ¹/₂ (3 + 6) * 2
Area of trapezium = 9 square units
Therefore, area of composite figure = (4.71 + 1 + 9) square units
The area of the composite figure = 14.71 square units
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Use the number line to identify the least value, first quartile, median, third quartile, and greatest value of the data. Number of sit-ups: 20, 20, 23, 25, 25, 26, 27, 29, 30, 30, 32, 34, 37, 38
The median value is 26.5, the first quartile is 24, the third quartile is 35.5, and the highest value is 38. The lowest value is thus 20.
How to find out mean median and first quartile?We can plot the data on a number line to determine the data's least value, first quartile, median, third quartile, and greatest value:
20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38\s| | | |
The leftmost number on the number line and the lowest value is 20.
We can split the data into four equal sections to determine the quartiles. The data's middle value is known as the median. We choose the average of the two middle values because there are an even number of data points. The midpoint is:
(26 + 27)/2 = 26.5 is the median.
We calculate the median of the lower half of the data to determine the first quartile:
(23 + 25)/2 = 24 for the first quartile.
We determine the median of the upper half of the data to determine the third quartile:
Third quartile: (34.5) ((34 + 37)/2)
The rightmost number on the number line, 38, has the highest value.
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For f(x) = 4x+ 2 and g( x) =x2 -6 find (f+g) (x)
The value of the function (f+g)(x) = x² + 4x - 4.
What is the difference between function and equation?An output variable and one or more input variables are at least two of the variables that make up a function. A mathematical equation may have any number of variables and says that two expressions are equivalent (none, one, or more). A function is frequently expressed as an equation, however not all equations are functions.
Given that,
f(x) = 4x + 2
g(x) = x² - 6
(f+g)(x) = f(x) + g(x) = 4x + 2 + x² - 6
(f+g)(x) = x² + 4x - 4
Hence, the value of the function (f+g)(x) = x² + 4x - 4.
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For each of the questions in this homework, please include an expla
strategies. Also please do not convert any of the fractions to decima
method, or cross multiplication. You may use the fraction tiles
The comparisons of the fractions given above is enumerated below.
What is the rationale for the above response?1) To compare 1/8 and 1/9, I can find a common denominator by multiplying the denominators together. The common denominator is 8 x 9 = 72.
Then, I can convert each fraction to have a denominator of 72 by multiplying the numerator and denominator of each fraction by the appropriate factor. The result is 9/72 and 8/72. Since 9/72 is bigger than 8/72, I know that 1/8 is smaller than 1/9.
2) To compare 7/8 and 8/9, I can find a common numerator by multiplying the numerators together. The common numerator is 56. Then, I can convert each fraction to have a numerator of 56 by multiplying the numerator and denominator of each fraction by the appropriate factor. The result is 49/56 and 64/72. Since 64/72 is bigger than 49/56, I know that 8/9 is bigger than 7/8.
3) To compare 15/38 and 5/13, I can find a common numerator by multiplying the numerators together.
The common numerator is 195. Then, I can convert each fraction to have a numerator of 195 by multiplying the numerator and denominator of each fraction by the appropriate factor.
The result is 75/195 and 75/195. Since the numerators are the same, I can compare the denominators. Since 195 is bigger than 169, I know that 15/38 is smaller than 5/13.
4) To compare 5/9 + 7/12 and 1/2, I can compare each fraction to 1/2 separately.
First, 5/9 is smaller than 1/2 because 9 is bigger than 18, so each ninth is smaller than each half.
Next, 7/12 is also smaller than 1/2 because 12 is bigger than 6, so each twelfth is smaller than each half.
Therefore, both fractions added together (without actually adding them) will be smaller than 1/2.
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An image of a rhombus is shown.
A rhombus with a base of 21 inches and a height of 19 inches.
What is the area of the rhombus?
160.5 in2
80 in2
399 in2
199.5 in2
The area of a rhombus is 399 in².
What is the area of a rhombus?
A rhombus is a quadrilateral whose four sides all have the same length. Another term for this shape is an equilateral quadrilateral since all of its sides are equal in length.
Here, we have
Given: A rhombus with a base of 21 inches and a height of 19 inches.
We have to find the area of a rhombus.
As per the given rhombus,
Base = 21 inches
Height = 19 inches
The area of the rhombus = base × height
⇒ 21 × 19 = 399 in²
Hence, the area of a rhombus is 399 in².
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Answer:
to simplify the other dude, its 399 in2
Step-by-step explanation:
hope this helps your day :P
please give brainleziest
spelled it wrong on purpose
heheheheheheheheh
ok c ya
A circle has 24 pi as its circumference. What is the, diameter, radius, and area?
Answer:
See below.
Step-by-step explanation:
We are asked for the diameter, radius, and area of a circle.
We are given the Circumference.
We should know that;
[tex]Circumference = (diameter)\pi[/tex]
[tex]Circumference = 24\pi[/tex] (Exact)
This means that the Diameter is 24.
The Radius is [tex]\frac{1}{2}[/tex] of the Diameter.
This means that the Radius is 12.
The area of a circle is represented as;
[tex]Area = \pi(radius)^2[/tex]
We have the requirements to find the area, with the value of the radius.
Solve for the area;
[tex]Area = \pi(12)^2[/tex]
[tex]Area = 144 \pi[/tex] (Exact)
[tex]Area = about \ 452.39.[/tex] (Approx.)
help help help!! with my math !!!!!!!!!!!!!
Triangle LMO is congruent to NMO because they are reflections of eachother.
write the slope intercept form of the equation of the line described.
through: (5, 0) perp to y= -5/3x
Answer:
y = 3/5x - 3
Step-by-step explanation:
slope (m) of line perpendicular to y = -5/3x is 3/5, the negative reciprocal of -5/3
use the point (5, 0) and the point-slope form to find b, the y-intercept:
y - 0 = 3/5(x - 5)
y = 3/5x - 15/5
y = 3/5x - 3 equation is now in the slope-intercept form
Maria can run 5 miles in the time that it takes Gus to run 4 miles. Assuming that both Maria and Gus maintain constant speeds and run for equal periods of time, which equation correctly relates the variables defined below?
G: distance Gus runs, in miles
M: distance Maria runs, in miles
Answer:
5 miles / Maria's time = 4 miles / Gus's time
Since both Maria and Gus run for equal periods of time, we can set their times equal to each other:
5 miles / t = 4 miles / t
where t is the time it takes both of them to run.
Simplifying this equation, we can see that the distance Maria runs (M) is equal to the distance Gus runs (G) multiplied by 5/4:
M = (5/4)G
Therefore, the correct equation that relates the variables defined is:
M = (5/4)G
This means that Maria's distance is 1.25 times Gus's distance. So, the correct answer is option B: M = 1.25G.
Select the equation represented by the fraction strips below. HURRY PLS!
The equation can be written as:
(2 + 1/3) + 3*(1/3)
And the solution, writen as a mixed number, is 3 + 1/3.
Which equation is represented by the diagram?
Here we have a diagram where we can see an addition (its an addition because of the direction of the arrow).
On the leftside we can see two whole squares and a one thid strip.
Then the number is:
2 + 1/3
And to that, we are adding 3 one third strips, then we are adding:
(2 + 1/3) + 3*(1/3)
That should be the equation
We can solve that equation to get:
2 + 1/3 + 3/3
= 2 + 1/3 + 1
= 3 + 1/3
That is the solution written as a mixed number.
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Can someone answer this just read the picture? Right answers only please!
The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
What is temperature?Temperature is a unit of hotness and coldness that can be described in terms of any number of arbitrary scales. It also represents the direction wherein heat energy will naturally flow, from either a hotter (i.e., higher temperature) body to a colder body.
Temperature is not the same as the energy of such a thermodynamic system; for instance, an iceberg has a significantly larger total heat energy than a match, despite the fact that a match is burning at a significantly higher temperature. The linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
Therefore, the linear model would be a reasonable way to predict the temperature as temperature determines the number of ice cream that would be sold.
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Please help!!
Complete the identity
cos^2 θ/2=?
One identity that we can write here is:
cos²(θ/2) = - sin²(θ/2) + 1
How to complete the identity?Here we want to find something that is equal to cos²(θ/2) for every value of theta, that will be an identity.
The general identity for trigonometric functions is:
cos²(θ) + sin²(θ) = 1
So we can rewrite this as:
cos²(θ) = - sin²(θ) + 1
If instead of theta, the argument is theta over two, we could rewrite this as:
cos²(θ/2) = - sin²(θ/2) + 1
That is the identity.
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