Answer:5
Step-by-step explanation: 42 divided by 4 = 10.5
10.5 divided by 2 = 5.25
round it and you get 5 pies per peck of apples
Do sides 10 cm 24cm 26cm from a right-angled triangle justify?
As the sides of the triangle 10 cm, 24 cm and 26 cm are triplets, the triangle will be a right angle triangle with side having length 26 cm as hypotenuse.
What is meant by triangle?
A triangle is a polygon with three vertices and three sides. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.The triangle is referred to as being equilateral when each of its three sides is the same length. Isosceles triangle: An isosceles triangle is one in which each of its sides are equal.Having three sides, three angles, and three vertices, a triangle is a closed, two-dimensional object. A polygon also includes a triangle.An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint.To learn more about triangle refer to
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Write two equations that represent the graph shown below- one equation using sine, and one equation using cosine.
Two equations that represent the graph shown below as sine function y = 0.909x−3 and as cosine function y = −0.416x −3.
What is sine function?The sine graph or sinusoidal graph is an up-down graph and repeats every 360 degrees i.e. at 2π.
The general form of a cosine function is:
y = a cosb (θ±c) ± d
Here, amplitude, a is = 1
For b, period is = π
2π/b = π
b = 2
c = 0
vertical shift = D = -3
Putting the value into formula
y = 1 cos2 (θ + 0) - 3
y = 1 ×−0.416(θ + 0) - 3
y = −0.416θ−3
y = −0.416x −3 (cosine function)
y = 1 sin2 (θ + 0) - 3
y = 1 ×0.909(θ + 0) - 3
y = 0.909θ−3
y = 0.909x−3 (sine function)
Thus, two equations that represent the graph shown below as sine function y = 0.909x−3 and as cosine function y = −0.416x −3.
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A 9,000-gallon pool is being filled at a rate of 40 gallons per minute. At this rate, how many minutes will it take to fill this pool?.
Answer:
225 minutes
Step-by-step explanation:
[tex]\displaystyle \frac{40\text{ gallons}}{\text{min}}=\frac{9000\text{ gallons}}{\text{x min}}\\\\x=\frac{9000\text{ gallons}}{40 \text{gallons}}=225\text{ min}[/tex]
I=$180
P=___
r=4.5%
t=3 years
what’s p?
Using the formula of Simple Interest, the value for the principal amount is obtained to be P = $1333.33.
What is Simple Interest?
Simple interest is a way to figure out how much interest will be charged on a sum of money at a specific rate and for a specific duration of time. Contrary to compound interest, where we add the interest of one year's principal to the next year's principal to compute interest, the principal amount under simple interest remains constant.
The value for Simple Interest is given as = $180
The value for rate is given as = 4.5%
The value for time is given as = 3 years
To find the value for Principal amount, follow the formula for Simple Interest -
SI = P R T/100
Where P is the principal amount, R is the rate and T is the time.
Substitute the values in the equation -
180 = (P × 4.5 × 3)/100
180 = 13.5P / 100
P = (180 × 100) / 13.5
P = 18000 / 13.5
P = 1333.33
Therefore, the value for principal amount is $1333.33.
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What type of triangle has side lengths 5'7 and 11?
As the triangle cannot be equilateral since the sides are not equal. So the obtuse triangle has side lengths 5, 7 and 11.
Assume that a triangle has sides that measure 5, 7, and 11.
Finding the sum of the squares on the triangle's two shorter sides and comparing it to the square on the longest side will reveal the type of triangle.
A triangle must be sharp in order to:
Let a = 5, b = 7 and c = 11
a^2 + b^2 = (5)^2 + (7)^2 = 25 + 49 = 74
c^2 = (11)^2 = 121
(1) If the triangle is
a^2 + b^2 > c^2
Therefore, the triangle is not acute.
(2) Eqviangular means that each internal angle must be 60 degrees in length.
As a result, the triangle is not eqviangular.
(3) The triangle cannot be equilateral since the sides are not equal.
(4) We note that a^2 + b^2 = c^2.
The triangle is hence obtuse.
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The value of which of these expressions is closest to e?
(¹+4)*
B. (1+²
OC. (¹+1)
OD. (1++)"
OA.
Therefore ,the solution of the given problem of expression comes out to be Option B is hence the appropriate choice.
What does expression mean?An algebraic expression must be checked by replacing each variable with a number and performing arithmetic operations. In the example above, the answer variable is identical to 6, since 6 + 6 = 12. If we know the values of the variables, we can replace them with those values and evaluate the expression.
Here,
Assumed: expressions
Finding the expression with a value that is closest to e
Solution:
e is worth 2.718, which equals (1 + 1/19).
(1 + 1/19)^19
=> (20/19)^19 = 2.65
=> (1+ 1/22)^22
= >(23/22)^22 = 2.659
=> (1 + 1/20)^20
= >(21/20)^20 = 2.653
=>(1 + 1/21)^21
= > (22/21)^21 = 2.656
As a result, the value of e is closest to the value of 2.659.
Option B is hence the appropriate choice.
Therefore ,the solution of the given problem of expression comes out to be Option B is hence the appropriate choice.
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Is it possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm which result did you use to verify this?
It is possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm because the sum of two sides are greater than three sides.
In the given question, we have to check that it is possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm.
The sum of the two sides must always be greater than the third side in order to determine whether or not the given sides may form a triangle.
To check this we firstly add the 10.2 and 5.8
10.2 + 5.8 > 4.5
16 > 4.5
Now we add 5.8 and 4.5
5.8 + 4.5 > 10.2
10.3 > 10.2
Now we add 10.2 and 4.5
10.2 + 4.5 > 5.8
14.7 > 5.8
It is possible to construct a triangle whose sides are 10.2 cm 5.8 cm and 4.5 cm because the sum of two sides are greater than three sides.
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Xavier's mother has a large collection of shoes. the table shows flip flop 8, boots 4, and clogs 6. if xavier mother chose a pair of shoes at random, what is the probability that the shoes would be a flip flop, write your answer is a fraction.p(flip flop)
The probability of having a flip flop is 4/9.
What is the probability of flip flops?In the question, we can see from the data that we have that Xavier's mother has a large collection of shoes. the table shows flip flop 8, boots 4, and clogs 6.
Recall that probability deals with the possibility that an event may occur or not occur under a given circumstance. We know that;
Total number of the shoes = 4 + 6 + 8 = 18
Probability of a flip flop = 8/18 = 4/9
This is the possibility that what would be picked is a flip flop.
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Which statements about the line that passes through (−2, 0) and (2, −4) aretrue? Select all correct statements. The slope of the line is 1. The line intersects the y-axis at (0, −2). The equation of the line is y = −x − 2 The line intersects the x-axis at (−2,
The correct options for the line are-
B. The line intersects the y-axis at (0, −2).C. The equation of the line is y = −x − 2.D. The line intersects the x-axis at (−2, 0).Define the equation of the line?The formula for a straight line reads y=mx+c where c is the height from which the line intersects the y-axis, often known as the y-intercept, and m is the gradient.Coordinate are: (−2, 0) and (2, −4)
Slope m = y2 - y1 / x2 - x1
m = (-4 + 0)/(2 + 2)
m = -4/4 = -1
Slope is -1 , option A incorrect.
For the y-intercept
Use point (-2, 0) and slope m = -1
0 = -1(-2) + b
b = -2
As, y-intercept is -2.
Option B correct.
Find equation of the line.
y = mx+ b
y = -x + (-2)
y = -x - 2
Thus, equation of the line is y = −x − 2.
Option C is also correct.
Find the x-intercept.
if y = 0
0 = -x - 2
x = -2
Thus, line intersects the x-axis at (−2, 0).
The option D is also correct.
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The complete question is-
Which statements about the line that passes through (−2, 0) and (2, −4) are true? Select all that apply.
A. The slope of the line is 1.
B. The line intersects the y-axis at (0, −2).
C. The equation of the line is y = −x − 2.
D. The line intersects the x-axis at (−2, 0).
Interpret the number line diagram shown below, and write a statement about the temperature for Tuesday compared to Monday at 11:00 p.m.
Help
Statement about the temperature for Tuesday compared to Monday at 11:00 p.m is temperature on Monday is 50⁰ F lesser than Tuesday
What is Number system?A number system is defined as a system of writing to express numbers.
In the given number line each unit is 10⁰ F
On Monday at 11:00 p.m. the temperature is 40⁰ F
Tuesday at 11:00 p.m. the temperature is -10⁰ F
The difference between two temperatures is 40⁰ F-( -10⁰)
40⁰ F+10⁰F
50⁰ F
The temperature on Monday is 50⁰ F lesser than Tuesday
Hence, statement about the temperature for Tuesday compared to Monday at 11:00 p.m is temperature on Monday is 50⁰ F lesser than Tuesday
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A cylinder with a height of 9cm. And a width of 10cm. Find the exact volume.
A. 90pi cm^3
B. 45pi cm^3
C. 900pi cm^3
D. 225pi cm^3
Answer:
The correct answer is D. 225pi cm^3.
To find the volume of a cylinder, you use the formula:
V = πr^2h
Where V is the volume, π is pi, r is the radius of the base, and h is the height of the cylinder.
In this case, the height is 9cm, and the width is 10cm. To find the radius, we divide the width by 2:
r = 10cm / 2 = 5cm
Now we can plug in the values into the formula:
V = πr^2h
V = π(5cm)^2(9cm)
V = π(25cm^2)(9cm)
V = 225π cm^3
So the volume of the cylinder is 225π cm^3
Step-by-step explanation:
Answer: D) 225pi cm^3.
Step-by-step explanation:
Determine the equation of the inverse for f(x)=7x2
The inverse of the equation f(x) = 7x -2 is [tex]f^{-1}(x) = \frac{x}{7} + \frac{2}{7}[/tex].
What is inverse of an equation?A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. The inverse function is denoted by f-1 or F-1 if the function is represented by [tex]f^{-1}(x)[/tex].
The given function is:
f(x) = 7x -2
Write the function in the form of a function:
y = 7x - 2
Interchange the variables in the equations:
x = 7y - 2
Isolate the value of y:
y = x/7 + 2/7
Replace y with [tex]f^{-1}(x)[/tex]:
[tex]f^{-1}(x) = \frac{x}{7} + \frac{2}{7}[/tex]
Hence, the inverse of the equation f(x) = 7x -2 is [tex]f^{-1}(x) = \frac{x}{7} + \frac{2}{7}[/tex].
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Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options. The radius of the circle is 3 units. The center of the circle lies on the x-axis. The center of the circle lies on the y-axis. The standard form of the equation is (x – 1)² + y² = 3. The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
Can anybody help me solve this
Answer: (5x^2-7)(x-4)
Step-by-step explanation:
5x^2(x-4)-7(x-4)
= (5x^2-7)(x-4)
Which relation is a function?
Every possible input value results in exactly one output value in a function. "The output is a function of the input," we state. The domain is made up of the input values, while the range is made up of the output values.
What do you mean by relation of a function?
A relation that states that there should be only one output for each input is known as a function. Alternatively, we could say that a special sort of relation (a set of ordered pairs) that adheres to the rule that every X-value should be associated with only one y-value is known as a function.
To ascertain whether a graph accurately depicts a function, use the vertical line test. If there are multiple points where the vertical line intersects the graph, the graph is not a function.
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How do polynomial identities apply to complex numbers?
Polynomial identities can be applied to complex numbers in the same way they are applied to real numbers, by replacing the real numbers in the polynomial with complex numbers and following the same algebraic rules and procedures.
What is a complex number?
A complex number is a number that can be written in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1.
Polynomial identities are equations that are always true for any values of the variables, regardless of whether the variables represent real numbers or complex numbers. Complex numbers can be represented in the form of a + bi, where a and b are real numbers and i is the imaginary unit.
For example, the identity[tex](x + y)^2 = x^2 + 2xy + y^2[/tex] is true for any real numbers x and y, and it also applies to complex numbers a + bi and c + di. The identity becomes [tex](a + bi + c + di)^2 = (a + c)^2 + 2(a + c)(bi + di) + (bi + di)^2[/tex]
Another example is the identity [tex](a+bi)^2 = a^2 + 2abi - b^2[/tex] which is always true for any complex number a+bi. This identity applies to any complex number and can be used to simplify polynomials involving complex numbers.
Hence, polynomial identities can be applied to complex numbers in the same way they are applied to real numbers, by replacing the real numbers in the polynomial with complex numbers and following the same algebraic rules and procedures.
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Bike sprockets and chain.
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
1
The gear ratio for the bike based on the information is 3:1.
How to illustrate the ratio?Ratio in Mathematics simply demonstrates how many times one number can be able to fit into another number. It should be noted that ratios contrast two numbers by dividing them. In this case, A/B will be the formula if one is comparing one variable (A) to another variable (B).
From the information, the gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket,
The gear ratio for the bike will be:
= 36 / 12
= 3 / 1
= 3:1
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In what quadrant does coordinate 2 3 lie?
The coordinate (2, 3) lies in the first quadrant of a Cartesian plane, which is the upper-right quadrant when the origin (0, 0) is the center.
The coordinate (2, 3) lies in a Cartesian plane, which is a two-dimensional plane with an origin (0, 0) at the center. There are four quadrants on the Cartesian plane. To find which quadrant the coordinate (2, 3) lies in, we must look at the signs of the x- and y-coordinates. The x-coordinate is 2, which is a positive number, and the y-coordinate is 3, which is also a positive number. This means that the coordinate (2, 3) lies in the first quadrant, which is the upper-right quadrant when the origin is the center. The other quadrants are numbered in a clockwise direction, starting with the first quadrant, which is the upper right. The second quadrant is the upper left, the third quadrant is the lower left, and the fourth quadrant is the lower right.
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in a video game players Form teams and work together to earn as many points as possible for their team each team can have between two and four players each player can score up to 20 points in each round of the game Han and three of his friends decided to form a team and play around.
a. the number of players in a game with six different teams of different sizes: two teams have 4 players each and the rest have 3 players each
b. the possible number of players in a game with eight teams
Therefore , the solution to the given problem of expression comes out to be 80.
What does expression mean?Math allows for addition, subtraction, multiplication, and division. Following is the structure of an expression: Calculator, number or variable, and expression The components of a mathematical expression include numbers, variables, and operations (such as subtraction, multiplication , addition, or division etc.) You can contrast phrases and expressions.
Here,
The formula for the number of points Han's team scores in a single round if each player has a perfect score is 20 4.
Each player is limited to a maximum of 20 points.
Han's team has four members.
Thus, assuming each participant receives a perfect score, the expression that will indicate the total points that Han's team receives in one round is:
= 20 × 4
= 80
Therefore , the solution to the given problem of expression comes out to be 80.
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Is x 8 a factor of the function f x 2x3 17x2 64?
A factor of a polynomial function is a polynomial that divides the function evenly when using polynomial division.
To check if x - 8 is a factor of the function f(x) =[tex]2x^3 - 17x^2 + 64[/tex] , we can use polynomial division.
When dividing f(x) by x - 8, the remainder should be zero.
x - 8 is a factor of the function when the remainder is zero.
In this case, the quotient is [tex]2x^2 + x + 8[/tex] , and the remainder is zero, so x - 8 is a factor of the function f(x) = [tex]2x^3 - 17x^2 + 64.[/tex].
So we can say [tex]f(x) = (x-8)(2x^2 + x + 8)[/tex]
Alternatively, we can also use synthetic division to check if x - 8 is a factor of the function.
Synthetic division is a shorthand method of dividing a polynomial by a linear factor such as x - 8.
If the remainder is zero, then x - 8 is a factor of the function.
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contents of 2x + 3y answer
The Slope Intercept Form Of 2x + 3y = 8 Is y = -2x/3 + 8/3
How to determine the slope intercept formFrom the question, we have the following parameters that can be used in our computation:
2x + 3y = 8
Make 3y the subject of the formula
So, we have the following representation
3y = -2x + 8
Divide through by 3
This gives
y = -2x/3 + 8/3
Hence, the equation is y = -2x/3 + 8/3
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Complete question
contents
The Slope Intercept Form Of 2x + 3y = 8 Is
Use your calculator to find the approximate value of e^7. (Round to 4 decimal places)
Answer:1096.6332
Step-by-step explanation:
Answer: Use
1096.6332
Step-by-step explanation:
A number, c , rounded to 1 d. P. I 47. 3
A number , d , rounded to 1 d. P. I 4. 6
What are the lower and upper bound of c-d?
The lower bound of c-d is 42.70 and the upper bound of c-d is 42.69.
In the given question, a number, c, rounded to 1 d.P. is 47.3.
A number, d, rounded to 1 d.P. is 4.6.
We have to find the lower and upper bound of c-d.
The maximum and smallest values that a number may have before it was rounded are known as upper and lower limits. They are also known as accuracy limits.
Error intervals are a useful tool for expressing the upper and lower bounds.
This is the lower bound for c; the smallest integer that will round to 47.3 is 47.25.
47.33999... is the highest number of c that may be rounded down to 47.3. Therefore, we define 47.34 as the upper bound.
This is the lower bound for d; the smallest integer that will round to 4.6 is 4.55.
4.64999... is the highest number of c that may be rounded down to 4.6. Therefore, we define 4.65 as the upper bound.
So, the lower bound of c-d = 47.25-4.55 = 42.70
So, the upper bound of c-d = 47.34-4.65 = 42.69
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Fully simplify 5√/20 - 4√5
tiana cells 47 boxes of orders for a fundraiser Tim cells to a few boxes them Tiana how many more boxes of oranges does Tim need to sell in order to sell 60 boxes
The boxes of oranges that Tim need to sell in order to sell 60 boxes will be 13 oranges.
How to illustrate the expression?It is important to note that an expression is simply used to show the relationship between the variables that are provided or the data given regarding an information.
In this situation, Tiana sells 47 boxes of orders for a fundraiser. Therefore, the boxes of oranges that Tim need to sell in order to sell 60 boxes will be:
= 60 - 47
= 13
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Suppose that a water fountain produces a stream of water that follows the shape of a parabola. assigning the origin of a coordinate system to the point where the water stream emerges from the fountain, a measurement shows that the maximum height of the stream occurs at the point (6, 5). use symmetry to identify a third point and find a quadratic regression equation for the stream of water. a. y = negative 0.139 x squared 1.667 x b. y = negative 0.135 x squared 1.667 x c. y = 0.135 x squared 1.667 x d. y = 0.139 x squared 1.667 x
A quadratic regression equation for the stream of water is,
⇒ y = -0.139x² + 1.667x
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Here, The vertex = (6, 5)
Axis of symmetry is line, x = 6
And, A third point in the parabola is, (12, 0)
Hence, The quadratic regression equation for the stream of water is,
⇒ y = - a(x - 6)² + 5
= -a(x² - 12x + 36) + 5
= -ax² + 12ax - 36a + 5
Since the parabola passes through point (0, 0),
i.e. -36a + 5 = 0
⇒ a = 5/36
⇒ a = 0.139
Therefore, The equation is,
⇒ y = -0.139x² + 12(0.139)x
⇒ y = -0.139x² + 1.667x
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Answer:
Its A
Step-by-step explanation:
What is 6 with exponent of 2?
6 with an exponent of 2 is 36. 6 with an exponent of 2 means 6 multiplied by 6.
When a number is raised to a certain power, it means that the number is multiplied by itself that many times.
6^2 = 6 x 6 = 36Exponents are a way of shorthand for repeated multiplication. When a number has an exponent of 2, it means that the number is multiplied by itself once. When a number has an exponent of 3, it means the number is multiplied by itself twice.
In this case 6 with exponent of 2, means 6 multiplied by itself twice, which is equal to 36.
It's important to note that the exponent is also known as the power, so 6^2 is also read as 6 to the power of 2.
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The car travels at a constant speed. After 6 seconds, it travels 180 meters.
Write a proportional equation to find the car's distance, d, at any time,
The equation that can be used to find the car's distance, d, at any time is d = 30 × t.
What is the equation that can be used to find the car's distance, d, at any time?Speed is simply referred to as distance traveled per unit time.
Mathematically, Speed = Distance ÷ time.
Given that;
Elapsed time t = 6 secondsDistance traveled d = 180Speed s = ?First, we determine the speed of the car.
Speed = Distance ÷ time
Speed = 180 / 6
Speed = 30 m/s
Now, to get the distance traveled at any time, plug the value of the speed of the car into the speed formula and solve for distance d.
Speed = Distance ÷ time
Speed = d / t
d = Speed × t
d = 30 × t
Therefore, the equation is d = 30 × t.
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A flower bed is in the shape of a rectangular prism. Its dimensions are 3 feet wide by 16 feet long by 6 inches deep.
a. How many cubic feet of topsoil do you need to fill the flower bed?
b. You can spread topsoil at a rate of 4 cubic feet per minute. How long will it take you
to spread all the topsoil?
Which of the following angles are supplementary to ∠1? Select all that apply.
∠6 and ∠7 are the angles which are supplementary to ∠1.
What are Angles?An angle is the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
Supplementary angles are those angles that sum up to 180 degrees.
In the given figure lines l and m are parallel lines.
A transversal passed through parallel lines.
∠1+∠2=180 degrees
∠1+∠3=180 degrees.
∠2 is corresponding angle of ∠6.
∠1+∠6=180 degrees.
∠3 is corresponding angle of ∠7.
∠1+∠7=180 degrees.
Hence, ∠6 and ∠7 are the angles which are supplementary to ∠1.
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