The first set is countable, the second set is also countable. The third set is also countable.
(a) The set {x∈R:2 is countable because it is finite.
(b) The set {x∈Q:∣x∣≥2} is countable because it is a subset of the rational numbers, which are countable.
(c) The set {x∈Q:∣x∣<4} is countable because it is a subset of the rational numbers, which are countable.
In Maths, sets are referred as a collection of well-defined objects or elements. A set is usually represented by a capital letter symbol and the total number of elements in the finite set is basically represented as the cardinal number of a set in a curly bracket.
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A central angle of a circle measures 37°. the arc intercepted by this central angle measures 16 inches. which value best approximates the radius of the circle? responses 24.78 in. 24.78 in. 25.38 in. 25.38 in. 46.44 in. 46.44 in. 50.76 in.
The value that best approximates the radius of the circle is 25.38 inches.
The measure of the central angle in degrees is related to the length of the arc intercepted by the central angle and the radius of the circle by the formula:
Arc length = (Central angle measure / 360°) x (2πr)
where r denotes the circle's radius.
Substituting the given values, we have:
16 inches = (37° / 360°) x (2πr)
Simplifying and solving for r, we get:
r = 16 inches / [(37/360) x (2π)]
r ≈ 25.38 inches (rounded to two decimal places)
Therefore, the value that best approximates the radius of the circle is 25.38 inches.
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Find the volume of a cone with a diameter of 12m and height of 9m ? A.108 m3 B.1296 m3 C. 324 m4 D.108 m3
The closest choice is A. 108 which is the right response if the cone's real height is 4.5m rather than 9m.
what is volume ?The amount of space a three-dimensional object takes up is measured by its volume. It is a numerical assessment of an object's three-dimensional physical dimensions—length, breadth, and height. Cubic units, such as cubic meters, cubic feet, cubic centimeters, or cubic inches, are used to indicate volume. Mathematical equations can be used to determine the formula for calculating the volume of many geometric shapes, including a cube, rectangular prism, sphere, or cylinder.
given
Finding the cone's radius, which is equal to half of its diameter, is the first stage.
radius: (12 m / 2) = 6 m
The capacity of a cone is calculated as follows:
V = (1/3)π[tex]r^2[/tex]h
In place of the ideals we hold:
V = (1/3)π([tex]6m^2[/tex])(9m) (9m)
V = (1/3)π([tex]36^2[/tex])(9m) (9m)
V = (1/3)π(324[tex]m^3[/tex])
V = 108π [tex]m^3[/tex]
With the aid of a computer, we can roughly convert to 3.14:
V ≈ 108 x 3.14 [tex]m^3[/tex]
V ≈ 339.12 [tex]m^3[/tex]
As a consequence, the cone, which has a 12 m diameter and a 9 m height, has a capacity of about 339.12 m3.
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they also needed red fabric. each yard of red fabric costs $2. if they buy 6 1/2 or red fabric, how much will it cost
The amount of cost for the fabric is given by A = $ 13
What do you mean by an Equation?Equations are statements in mathematics that have two algebraic expressions on either side of the equals (=) sign.
It displays the similarity of the connections between the phrases on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are examples of the parts of an equation. When creating an equation, the "=" symbol and terms on both sides are necessary.
Given data ,
Let the total cost of red fabric be represented as A
Now , the amount of red fabric be = 6 1/2 yards
And , the cost of red fabric per yard = $ 2
So , the total cost of red fabric A = amount of red fabric x cost of red fabric per yard
On simplifying the equation , we get
The total cost of red fabric A = ( 6 1/2 ) x 2
The total cost of red fabric A = ( 13/2 ) x 2
The total cost of red fabric A = $ 13
Therefore , the value of A is $ 13
Hence , the total cost of red fabric is $ 13
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Mario has 1 gallon of milk. He pours 4 cups of milk for him and his 3 siblings to have with their breakfast. How much milk is left ? Simplify your answer .
1 gallon of milk is equal to 16 cups of milk (1 gallon = 4 quarts = 16 cups).
Mario poured 4 cups of milk for each of the 4 people, which is a total of 16 cups of milk.
So the amount of milk left is:
16 cups (total) - 16 cups (poured) = 0 cups
Therefore, there is no milk left.
Within the case study data set what is the pearson correlation
(aka, r value) between traitanx and comanx2 (e.g., .xxx)?
The r value is close to 0, it indicates that there is no correlation between the two variables.
The Pearson correlation coefficient (r value) is a measure of the strength of the linear relationship between two variables. It is calculated using the formula:
r = (sum of the products of the paired scores) / (square root of the sum of the squares of the first scores) * (square root of the sum of the squares of the second scores)
In this case, the two variables are traitanx and comanx2. To find the Pearson correlation between these two variables, we would need to calculate the sum of the products of the paired scores, the sum of the squares of the first scores, and the sum of the squares of the second scores. Then, we would plug these values into the formula and calculate the r value.
Without the actual data set, it is not possible to calculate the Pearson correlation between traitanx and comanx2. However, if the r value is close to 1, it indicates a strong positive correlation between the two variables. If the r value is close to -1, it indicates a strong negative correlation between the two variables. If the r value is close to 0, it indicates that there is no correlation between the two variables.
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An open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it is wide by removing a square of size 3 inches from each corner and turning up the edges.
If the box is to hold 1,620 in3, how big should the originial piece of cardboard be?
The original piece of cardboard should be approximately 32.86 inches by 16.43 inches.
To find the size of the original piece of cardboard, we can use the formula for the volume of the box, which is V = l × w × h. Since the box is open-topped, the height will be the size of the square that was removed from each corner, which is 3 inches. Also, given that the length of the original piece of cardboard is twice the width, we can substitute l = 2w in the formula. Therefore, the formula becomes:
V = (2w) × w × 3
Now, we can plug in the given volume of 1,620 in3 and solve for w:
1,620 = (2w) × w × 3
540 = 2w^2
270 = w^2
w = √270
w ≈ 16.43 inches
Now, we can use the value of w to find the length of the original piece of cardboard:
l = 2w = 2(16.43) = 32.86 inches
Therefore, the original piece of cardboard should be approximately 32.86 inches by 16.43 inches.
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PLEASE I REALLY NEED HELP ASAP
[5 points] Draw a picture of each size of tile below. Label the side lengths and then find the area of each tile. Use x and/or y to represent different unknown side lengths.
If the length of the tile is x and the breadth of the tile is y then the area of each tile is equal to xy units.
How to calculate the areaGiven that we can assume the length of tile be x and breadth of tile be y. We are required to find the area of the each tile and draw a figure showing the tile whose length is x and the breadth is y.
Tile is in the shape of the rectangle because the length and breadth are different and we know that the area of the rectangle is equal to product of the length and breadth of that rectangle.
If the length of tile is x and the breadth of tile is y then the area of the tile is equal to x*y which is xy units. Figure is attached with the solution.
Hence if the length of the tile is x and the breadth of the tile is y then the area of each tile is equal to xy units.
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Of the following parent functions, which one has an infinite number of zeroes? (Select all that apply) linear o quadratic exponential o reciprocal absolute value 0 square root sine cosine This is a re
The parent functions that have an infinite number of zeroes are sine and cosine. A zero of a function is a value of x for which the function equals zero. For example, the function f(x) = x has a zero at x = 0, because f(0) = 0.
The parent functions sine and cosine have an infinite number of zeroes because they are periodic functions, meaning they repeat their values at regular intervals.
The sine function has zeroes at every multiple of π, or 0, π, 2π, 3π, etc. The cosine function has zeroes at every odd multiple of π/2, or π/2, 3π/2, 5π/2, etc.
In contrast, the other parent functions listed have a finite number of zeroes. The linear function has one zero, the quadratic function has at most two zeroes, the exponential function has at most one zero, the reciprocal function has no zeroes, the absolute value function has at most one zero, and the square root function has at most one zero.
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YO PLEASE HELP IVE BEEN DOING OVER DUES FOR SIX HOURS AND THIS IS MY LAST MATH ONE What is the volume of this figure PLEASE THANK YOU GUYS
Answer:
144
Step-by-step explanation:
Find the length of the missing side.
Answer:
8
Step-by-step explanation:
Let's call the unknown side [tex]c[/tex].
The Pythagorean Theorem states that in any right triangle, [tex]a^{2} + b^2 = c^2[/tex]
Now plug in the known values.
[tex]6^2 + (2\sqrt 7)^2 = c^2\\36 + 4(7) = c^2\\36 + 28 = c^2\\64 = c^2\\c = \sqrt{64} = 8[/tex]
At a county fair, 60% of the entries are livestock. Of those entries, 70% are sold at the auction. If
130 entries of livestock are sold at the auction, how many total entries were there at the fair?
Answer:
Let's start by using algebra to solve the problem.
Let x be the total number of entries at the fair.
Given that 60% of the entries are livestock, we can write:
0.6x = number of livestock entries
Of those livestock entries, 70% are sold at the auction, which means:
0.7(0.6x) = 130
Simplifying the second equation, we get:
0.42x = 130
Solving for x, we can divide both sides by 0.42:
x = 309.52
Since we can't have a fractional number of entries, we can round up to the nearest whole number, giving us:
x = 310
Therefore, there were a total of 310 entries at the fair.
Step-by-step explanation:
assume that y=C(a)^x is an exponential function. Why can a not equal zero?
The function eˣ is considered as a function of real numbers has domain (−∞,∞) and have value between 0 to ∞ . That is the reason why "a" cannot be zero.
Reason why any function of form eˣ cannot be zero:Considered as a function of real numbers, the function ex has domain (−∞,∞) and range (0,∞). Therefore, only strictly positive values can be assumed. Considering ex as a function of complex numbers, we know that there is a domain C and a range C\{0}. In other words, the only value eˣ cannot have is 0.
Thus, the base cannot be equal to 0.
What are functions in mathematics?A formula, rule, or law that defines the relationship between one variable (the independent variable) and another (the dependent variable). Functions are ubiquitous in mathematics and essential in the natural sciences for formulating physical relationships.
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a cannot be equal to zero in an exponential function because a must be greater than 0 in order for the equation to work, and because the base of an exponential function must be a positive number for it to be an exponential function.
What is an exponential function?An exponential function is a type of mathematical function that increases or decreases by a consistent rate over time. It is usually expressed in the form of y = abx, where a and b are constants and x is the independent variable. The graph of an exponential function is a curved line that starts off flat and then increases or decreases in a curved manner. The rate of change of the function is determined by the value of b, with higher values of b resulting in a steeper curve.
In this situation, a must be greater than 0 because an exponential function cannot have a base of 0. This is because any number raised to the power of 0 is equal to 1, so if the base of the exponential function is 0, then the entire equation would be equal to C1, which is simply C. Therefore, the only way to make the equation work is to make sure that a is greater than 0.
Therefore, a cannot be equal to zero in an exponential function. This is because a must be greater than 0 in order for the equation to work, and because the base of an exponential function must be a positive number in order for it to be an exponential function.
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With a partner, you are going to research recipes and find examples of fractional
amounts of spices and/or seasonings. Use cookbooks, recipe cards, or on-line sources to find recipes of your favorite foods. You
can even interview a chef or cook! Find 3 recipes that have at least one ingredient that
uses a fractional amount of some of the ingredients. Choose one of the ingredients that is a fractional amount. If you were to double
the recipe, how much of the ingredient would you use? Talk to an adult about what
operation you would use to double the amount. Practice doubling some of the fractional
amounts with the 3 recipes you chose. Create a recipe with fractional amounts of several ingredients. Then have another
student double your recipe
There are three recipes provided to mention the fractional amounts of ingredients:
Recipe for Chicken Curry:
2 teaspoons of turmeric
1/2 teaspoon of cumin
1/4 spoon of any type of pepper
If you were to double this recipe, you would use:
4 teaspoons of turmeric
1 teaspoon of cumin
1/2 teaspoon of pepper
To double the amount of the ingredients, you would multiply each fraction by 2.
Chocolate chip cookies:
1/4 teaspoon of baking soda
1/2 teaspoon of salt
double the quantities if u want to make more or huge quantities
Tomato soup recipe
half a spoonful of dried basil
1/4 teaspoon of dried thyme
for this recipe, we will need
1 spoon of basil
1/2 teaspoon of dried thyme
Recipe for Pasta Salad:
fourth cup of Olive oil
1/3 cup of red wine vinegar
1/2 teaspoon of dried oregano
1/4 teaspoon of salt
1/8 teaspoon of black pepper
We can multiply by 2 if we increase the quantity.
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Find the missing side of the triangle (h).
a closet in the shape of a rectangular prism measures x+3 ft. wide, x-5.5 ft. depth and x ft height. the volume is 220 ft^3. what is the height of the closet?
The height οf the clοset is x ft = 8 ft.
What is the vοlume οf a rectangular prism?The vοlume οf a rectangular prism is the amοunt οf space οccupied by the three-dimensiοnal οbject. It is calculated by multiplying the length, width, and height οf the prism.
In this prοblem, we are given that the clοset has a vοlume οf 220 ft^3 and its dimensiοns are x+3 ft. wide, x-5.5 ft. deep, and x ft. high. Sο, we can write the equatiοn:
V = (x+3)(x-5.5)(x)
where V is the vοlume οf the clοset.
Tο sοlve fοr x, we can simplify the equatiοn by multiplying the factοrs:
[tex]V = (x^2 - 2.5x - 16.5)(x) = x^3 - 2.5x^2 - 16.5x[/tex]
Nοw, we can substitute the given value οf V and sοlve fοr x:
[tex]220 = x^3 - 2.5x^2 - 16.5x[/tex]
We can rearrange this equatiοn tο get:
[tex]x^3 - 2.5x^2 - 16.5x - 220 = 0[/tex]
This is a cubic equatiοn that can be sοlved by factοring οr using numerical methοds. By using numerical methοds, we can find that οne sοlutiοn οf this equatiοn is x = 8.
Therefore, the height of the closet is x ft = 8 ft.
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what is the nearest 5 of 562817
The nearest 5 integers of 562817 are:
562815, 562816, 562817, 562818, 5628179
Explain about the integers?An integer comprises a whole number which can be positive, negative, and zero and is not a fraction. Integer examples include: -5, 1, 25, 18, 97, as well as 3,043. 1.43, 21 3/4, 3.84, and other numbers that don't constitute integers are some examples.
Positive, negative, and zero are all examples of integers. As a result, integers include numbers like 0, 1, 2, 3, in addition to -1, -2, and 3. There are no additional parts, such as fractions or decimals, in integers. As a result, fractional values like 3 1/2 and decimal numbers like -7.5 are Really not integers.Thus,
The nearest 5 integers of 562817 are obtained by subtracting and adding the smallest integer that is 1 from the given number.
562815, 562816, 562817, 562818, 5628179
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alaska ranks as the 48th states when comparing populations. In 1980, the population wa 410,851 and in 2017 the population was 739818. Which equation models the population of alska t years after 1980. If the population of Alaska continues to grow at the same rate, predict the population of Alaska in 2040
Therefore, the predicted population of Alaska in 2040 is approximately 1,038,428.
Given by the question.
P₀ = 410,851
P = 739,818
t = 2017 - 1980 = 37
r = ln (739818/410851) / 37
r ≈ 0.0136
Therefore, the equation that models the population of Alaska t years after 1980 is:
P(t) = 410,851 * [tex]e^{(0.0136*t)}[/tex]
To predict the population of Alaska in 2040, we need to find the value of P (60), since 2040 is 60 years after 1980:
P (60) = 410,851 * [tex]e^{(0.0136*60)}[/tex]
P (60) ≈ 1,038,428
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Long division what is the quotient
(2x^3+ 6x²- 6x + 2)divided by (2x-3)
The quotient (2x^3+ 6x²- 6x + 2)divided by (2x-3) is: [tex]x^2 + 4x + 3[/tex].
How to find the quotient?Quotients are often used in algebra to solve equations and expressions involving division. They are used in everyday life such as when calculating the average speed of a journey.
[tex]x^2 + 4x + 3[/tex]
[tex]---------[/tex]
[tex]2x - 3 | 2x^3 + 6x^2 - 6x + 2 \\ - (2x^3 - 3x^2)[/tex]
[tex]----------[/tex]
[tex]9x^2 - 6x \\- (9x^2 - 13x)[/tex]
[tex]-----------[/tex]
[tex]7x + 2[/tex]
The quotient is:
[tex]x^2 + 4x + 3[/tex]
Therefore, (2x^3 + 6x² - 6x + 2) divided by (2x-3) is equal to (x^2 + 4x + 3) with a remainder of (7x + 2).
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What are the original equations to these 2 transformed
equations?
Equation 1: y= 3sin 2x-2
Equation 2: y=4sin(x-1)+3
The original equations for these two transformed equations can be found by reversing the transformations that have been applied to the standard sine function y = sin(x).
For Equation 1: [tex]y = 3sin(2x-2)[/tex], the original equation is y = sin(x). The transformations that have been applied are a vertical stretch by a factor of 3, a horizontal compression by a factor of 2, and a horizontal shift to the right by 2 units. To reverse these transformations, we would divide the y-values by 3, divide the x-values by 2, and shift the graph to the left by 2 units.
For Equation 2: [tex]y = 4sin(x-1)+3[/tex], the original equation is also y = sin(x). The transformations that have been applied are a vertical stretch by a factor of 4, a horizontal shift to the right by 1 unit, and a vertical shift up by 3 units. To reverse these transformations, we would divide the y-values by 4, shift the graph to the left by 1 unit, and shift the graph down by 3 units.
Therefore, the original equations for these two transformed equations are both y = sin(x).
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What is the area of this complex figure?
A) 179 m^2
B) 128 m^2
C) 30 m^2
D) 20 m^2
The area of the complex figure is 178 m². Option A
How to determine the area of the complex figureThe formula for calculating the area of a rectangle is expressed as;
Area = lw
Given that;
l is the length of the rectanglew is the width of the rectangleFor the bigger rectangle
Area = 16(8)
Multiply
Area = 128m²
For the smaller rectangle
Area = 6(5)
Area = 30m²
For the triangle
Area = 1/ 2× base × height
Area = 1/2 × 8 × 5
Area = 20m²
Add the areas of the three figures
Total area = 128 + 20 + 30
Total area = 178 m²
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Jacques needs 5/8 kg of flour to make a loaf of bread
he tips 2/5 Kg of white flour onto a weighing scale
how much more flour does he need to add?
9/40 more flour does he need to add.
What is Fraction?A fraction represents a part of a whole.
Given that Jacques needs 5/8 kg of flour to make a loaf of bread, he tips 2/5 Kg of white flour onto a weighing scale.
We need to find amount of flour he still need to make a loaf of bread.
2/5 + x =5/8
Subtract 2/5 from both sides
x = 5/8 -2/5
LCM of 8 and 5 is 40.
=25-16/40
=9/40
Hence, 9/40 more flour does he need to add.
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A rectangle has the area of 54x8y6
square inches and a length of 9x3y4
. Which expression represents the width of the rectangle?
Responses
The expression that represents the width of the rectangle is 6x^5y^2
Which expression represents the width of the rectangle?We know that the area of a rectangle is given by the formula:
Area = Length x Width
We can rearrange the formula for the area to solve for the width:
Width = Area / Length
From the question, we have the following parameters that can be used in our computation:
Area = 54x^8y^6
Length = 9x^3y^4
Substituting the given values, we get:
Width = (54x^8y^6) / (9x^3y^4)
Evaluate the quotient expression
Width = 6x^5y^2
Hence, the width expression is 6x^5y^2.
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The matrix \[ A=\left[\begin{array}{cccc} -3 & 0 & -4 & 0 \\ 7.5 & 0 & 10 & 0 \\ 3 & 0 & 4 & 0 \end{array}\right] \] is a matrix of a linear transformation \( T: \mathbb{R}^{k} \rightarrow \mathbb{R}^
The matrix A represents the linear transformation T that maps vectors from a k-dimensional vector space to a 3-dimensional vector space and can be used to find the image of a vector under the linear transformation is:
[tex]T=\left[\begin{array}{c} -15 \\ 37.5 \\ 15 \end{array}\right][/tex]
What is linear transformation?A linear transformation is a function that maps vectors from one vector space to another and preserves the operations of vector addition and scalar multiplication. In this case, the matrix A represents the linear transformation T that maps vectors from a k-dimensional vector space to a 3-dimensional vector space.
The matrix [tex]\[ A=\left[\begin{array}{cccc} -3 & 0 & -4 & 0 \\ 7.5 & 0 & 10 & 0 \\ 3 & 0 & 4 & 0 \end{array}\right] \][/tex]
is a matrix of a linear transformation [tex]\( T: \mathbb{R}^{k} \rightarrow \mathbb{R}^{3} \).[/tex]
The matrix A can be used to find the image of a vector under the linear transformation T. For a vector [tex]\( \mathbf{x} \in \mathbb{R}^{k} \)[/tex], the image of the vector under the linear transformation T is given by the matrix-vector product [tex]\( A\mathbf{x} \).[/tex]
For example, if [tex]\( \mathbf{x} = \left[\begin{array}{c} 1 \\ 2 \\ 3 \\ 4 \end{array}\right] \)[/tex]
Then the image of the vector under the linear transformation T is given by
[tex]\[ A\mathbf{x} = \left[\begin{array}{cccc} -3 & 0 & -4 & 0 \\ 7.5 & 0 & 10 & 0 \\ 3 & 0 & 4 & 0 \end{array}\right] \left[\begin{array}{c} 1 \\ 2 \\ 3 \\ 4 \end{array}\right] = \left[\begin{array}{c} -15 \\ 37.5 \\ 15 \end{array}\right] \][/tex]
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I recently took a review test and it talked about amount of error (percent error) . The question said that , “the estimate number of balls in each bag was 86. It turned out to be 104. What is the percent of error? Round to the nearest tenth.” I wrote 17.3%. The teacher said it was wrong and claimed that you had to divide it by expected, not real. (Formula is (expected-real)/real.)) Can someone help me out, am I wrong or the teacher?
Percentage error is 17.30%, it can be said that the answer given by student is correct.
What is Percentage error?The percent error is the distinction between the estimated value and the actual value in relation to the actual value.
Estimated number of balls in each bag = 86
Real number of balls in the bag = 104
Percentage error = | ( estimated value - real value / real value ) | * 100
Percentage error = | ( 86 - 104 / 104 ) | * 100
Percentage error = | ( -18 / 104 ) | * 100
Percentage error = | - 17.30 | * 100
Percentage error = 17.30%
Thus, it can be said that the answer given by student is correct.
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Triangle T was dilated to form triangle T prime.
Triangle T has side lengths of 36 and 18. Triangle T prime has side lengths of 20 and 10
Triangle T prime is similar to triangle T with a scale factor of 5/9.
What is the scale factor?
In mathematics, a scale factor is a number that scales, or multiplies, a quantity or geometric figure. In other words, it is the ratio of any two corresponding lengths in two similar figures.
To determine the scale factor of the dilation, we can compare the corresponding side lengths of the two triangles.
For example, we can compare the longest sides of each triangle (also known as the "hypotenuse" in a right triangle):
scale factor = length of corresponding side in T prime / length of corresponding side in T
scale factor = 20 / 36
scale factor = 5/9
This means that triangle T prime is a reduction (since the scale factor is less than 1) of triangle T by a factor of 5/9. In other words, the side lengths of triangle T prime are 5/9 times the corresponding side lengths of triangle T. Therefore, we can find the lengths of the other sides of triangle T prime by multiplying the corresponding side lengths of triangle T by the scale factor:
10 = 18 * 5/9
20 = 36 * 5/9
So, the side lengths of triangle T prime are 20, 10, and (36*5/9) = 20.
Therefore, triangle T prime is similar to triangle T with a scale factor of 5/9.
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find the hcf of 24x (cubed) yz (power 4) ; 30x (squared) y (squared) z (cubed) and 36x (cubed) y (squared) z (cubed)
The Highest Common Factor is: [tex]{6x^2yz^3}[/tex].
What is HCF ?
HCF stands for "Highest Common Factor", which is the largest number that divides two or more integers without leaving a remainder. It is also known as GCD (Greatest Common Divisor).
The given expressions are:
[tex]$$24x^3yz^4, \quad 30x^2y^2z^3, \quad 36x^3y^2z^3$$[/tex]
To find the HCF, we need to find the common factors of the given expressions.
We can write each expression as a product of prime factors:
[tex]$$24x^3yz^4 = 2^3 \cdot 3 \cdot x^3 \cdot y \cdot z^4$$[/tex]
[tex]$$30x^2y^2z^3 = 2 \cdot 3 \cdot 5 \cdot x^2 \cdot y^2 \cdot z^3$$[/tex]
[tex]$$36x^3y^2z^3 = 2^2 \cdot 3^2 \cdot x^3 \cdot y^2 \cdot z^3$$[/tex]
The common factors among these expressions are [tex]2, 3, $x^2$, $y$, $z^3$.[/tex]
Therefore, the Highest Common Factor is:
[tex]{6x^2yz^3}[/tex].
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The area of a square living room is 256 ft2
. Which is the length of the room?
The living room approximately 16 feet long based on the information provided.
What do math squares mean?A closed, such a double object known as a square has four sides that are equal and four vertices. On either side, it has parallel sides. A rectangle with equal width and length is also comparable to a square.
You may determine a square's area by multiplying one side by the square itself. As a result, we can use the scale factor of the living room's size to determine its length:
√256 ft² = 16 ft
The living room becomes 16 feet long as a result.
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[tex]\sqrt{x} 150\\[/tex]
If √x = 150, then the value of x will be 22,500.
What is the value of x in the root function?
If √x = 150, then we can find the value of x by squaring both sides of the equation:
(√x)² = (150)²
Simplifying the left side of the equation:
x = (150)²
x = 150 x 150
x = 22,500
Therefore, the value of x for the given root function is determined as 22,500.
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The complete question is below:
If √x = 150, find the value of x
3randon Vasquez percent More or Less (Formula ) L^(1) reb 21, 8:52:44 PM Watch help video What is the result when the number 72 is decreased by 50% ? Answer: Submit Answer
The result when the number 72 is decreased by 50% is 36.
We can use the formula:
Result = Original Number - (Original Number x Percent Decreased)
In this case, the original number is 72 and the percent decreased is 50%.
So, we can plug in the values into the formula:
Result = 72 - (72 x 0.50)
Result = 72 - 36
Result = 36
Therefore, the result when the number 72 is decreased by 50% is 36.
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I don’t understand how to solve this when one number is missing! Pls help
Given:
5yd
To find:
The area of the hexagon
Solution:
[tex]area \: of \: hexagon = 6s[/tex]let the area of hexagon here be x. [tex] = 5 \times 6 \\ = 30yd[/tex]Learn more about area and perimeter:https://brainly.ph/question/14127685