The probability, rounded to the nearest hundred, is approximately 66.5%. This means that there is a 66.5% chance that none of the 123 tested video game systems will be defective.
The probability that a video game system will be manufactured with a defect is 1/37. Therefore, the probability that a system will not be defective is 1 - (1/37), which simplifies to 36/37.
To find the probability that none of the 123 tested systems are defective, we can multiply the probability of each individual system being non-defective together.
Probability of none of the systems being defective = (36/37) * (36/37) * ... * (36/37) [123 times]
Using this formula, we can calculate the probability.
Probability = (36/37)^123 ≈ 0.665
To convert this probability to a percentage, we multiply by 100.
Probability as a percent = 0.665 * 100 ≈ 66.5%.
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Meg i making a lit of rule for diviion fill in the blank with the correct anwer to make Meg rule true
If a number is completely divisible by another number then the quotient will be a whole number and the remainder will be zero.
As the name suggests, divisibility tests or division rules in Maths help one to check whether a number is divisible by another number without the actual method of division.
Finding the product of two or more corresponding integers is done mathematically through the action of multiplication. It is frequently represented by the letters "x" or "*." In order to discover the result of multiplication, a multiplicand, also known as the multiplicand, is multiplied by a multiplier, also known as the multiplier. The result of the two integers, for instance, is 56 if the multiplicand and multiplier are both 8. A multiplication process always yields a greater number as the outcome than either of the initial factors. Multiply is also used to describe the process of adding a number to itself a certain number of times, as in "7 multiplied by 3 equals 21."
How to solve?
For instance, if the multiplication error is 8 x 7 = 56, then the matching division error 56/8 = 7, demonstrating that the result of the division is the other component that was used in the multiplication.
This connection is true for every multiplication and division problem as long as the numbers are utilised consistently in both operations.
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From Belmont, how much farther is it to Riverside than to Yardley? Use paths shown below
On solving the provided question, we can say that by addition, the distance between Belmont and Yardley is by adding all distances in between them = 9.75+8324 = 17.99 mils
what is addition?The other three fundamental operations are subtraction, multiplication, and division. Addition is one of the four basic operations. The sum or total of these combined values is obtained by adding two integers. The process of merging two or more numbers is known as addition in mathematics. Numbers are added together to form addends, and the outcome of this operation, or the final response, is referred to as the sum. This is one of the crucial mathematical operations we employ on a regular basis. You would add numbers in a variety of circumstances. Combining two or more numbers is the foundation of addition. You can learn the fundamentals of addition if you can count.
by addition,
the distance between Belmont and Yardley is
by adding all distances in between them = 9.75+8324 = 17.99 mils
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Angle B= 27, a=28ft, b=18ft solve for measurement(s) of angle c
Answer: In a triangle, the sum of the angles is 180 degrees. Therefore, if we know two of the angles, we can use this property to find the measure of the third angle.
In this case, we are given angle B = 27 degrees and we want to find the measure of angle C. We can use the following equation to find angle C:
Angle B + Angle C + Angle A = 180
27 + Angle C + 90 = 180
Angle C = 180 - 27 - 90
Angle C = 63 degrees
Additionally, we can use the Law of Cosines to find the measure of angle C.
c² = a² + b² - 2ab * cos(C)
c² = 28² + 18² - 2 * 28 * 18 * cos(C)
c² = 784 + 324 - 1008 * cos(C)
c = √(1108 - 1008*cos(C))
We know that cos(C) = (a² + b² - c²) / 2ab
cos(C) = (784 + 324 - c²) / (22818)
We can substitute the value of c² that we obtained from the first equation and find cos(C) and thus angle C.
So the measure of angle C is 63 degrees.
Step-by-step explanation:
Find the area of the figure please!
Answer:
36 square units
Step-by-step explanation:
The figure is made up of a rectangle above with length 6 and width 4.
The bottom part is a triangle with a base of 6 and a height of 4.
total area = area of rectangle + area of triangle
total area = LW + bh/2
total area = 6 × 4 + 6 × 4/2
total area = 24 + 12
total area = 36
Answer:
36 square units
Step-by-step explanation:
We can split the given figure into two familiar figure by drawing a line segment as shown in the attached figure
This splits the composite figure into a rectangle at the top and an inverted triangle at the bottom
The rectangle has a length(horizontal portion) of 6 units and a width(vertical portion) of 4 units
Area of rectangle = length x width = 6 x 4 = 24 square units
The triangle has a base of 6 units and a height of 4 units
Area of rectangle = 1/2 x base x height = 1/2 x 6 x 4 = 1/2 x 24 = 12 square units
Area of figure = 24 + 12 = 36 square units
Please answer ill give extra points and brainiest please im begging you, answer both questions please all i need is the answer and a small explanation
(Ignore what i wrote on the paper btw)
The school biology club member want to buy matching shirts to wear on a field trip they needed to determine from which of two stores to purchase the shirts these tables show the total cost including set up fee for purchasing different numbers of the shirt
If you want to buy fewer than 25 shirts, then prefer Shirts By Sam shop. If you want to buy more than 25 shirts, then prefer Might T Shirt shop.
What is an equation?
A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Given that:
Shirts By Sam
The cost of 10 shirts is $127.5
The cost of 15 shirts is $168.75.
Assume the equation that represents total cost is y = ax+b
Putting x= 10 and y=127.5 in y = ax+b:
127.5 = 10a+b.....(i)
Putting x= 15 and y=168.75 in y = ax+b:
168.75 = 15a+b.....(ii)
Use elimination method to solve equation (i) and (ii).
Subtract equation (i) from (ii)
15a+b = 168.75
10a+b = 127.5
____________
5a = 41.25
a = 8.25
Putting a=8.25 in equation (i)
127.5 = 10×8.25+b
b = 40
The equation is y = 8.25x+40.
Might T Shirt
The cost of 8 shirts is $137
The cost of 12 shirts is $163
Assume the equation that represents total cost is y = ax+b
Putting x= 8 and y=137 in y = ax+b:
137 = 8a+b.....(iii)
Putting x= 12 and y=163 in y = ax+b:
163 = 12a+b.....(iv)
Use elimination method to solve equations (iii) and (iv).
Subtract equation (iv) from (iii)
8a+b = 137
12a+b = 163
____________
4a = 26
a = 6.5
Putting a=6.5 in equation (iii)
137= 8×6.5+b
b = 85
The equation is y =6.5x+85.
The solution of the system of equations:
y = 8.25x+40 .....(vi)
y =6.5x+85 ......(vii)
Use substitution method to solve equations (vi) and (vii).
Subtract equations:
8.25x+40 - 6.5x-85=0
1.75x - 45 =0
x = 45/1.75
x = 25.71
Putting x = 26 in equations (vi) and (vii)
y = 8.25×26+40 = 254.5
y = 6.5×26+85 = 254
Putting x = 24 in equations (vi) and (vii)
y = 8.25×24+40 = 238
y = 6.5×24+85 = 241
Thus if you buy more than 25 shirts, then prefer Might T Shirt shop.
if you buy fewer than 25 shirts, then prefer Shirts By Sam.
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The spring musical cost $600 for costumes and $450 for the stage materials.
If the spring musical cost $600 for costumes and $450 for the stage materials. the number of tickets is 56 tickets.
How to find the number of tickets?Total ticket = $600 + $450
Total ticket = $1050
Now let find the number of tickets that they have to sell to profit.
Number of tickets = $1,050 - $375 / $12
Number of tickets = $675/$12
Number of tickets = 56 tickets
Therefore the number of tickets is 56 tickets.
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The complete question is:
The spring musical cost $600 for costumes and $450 for the stage materials.
Students raised $375 from advertisements in the program. Tickets cost $12 each.
How many tickets do they have to sell to profit?
i need my question and i dont feel like watching all of these ads to get the answer
Answer:
ok whats the question
Step-by-step explanation:
What is secant formula?
Therefore , the solution of the given problem of trigonometry comes out to be the reciprocal of both the cosine is the secant.
What is trigonometry?Trigonometry, a branch of mathematics, studies relationships between angles and sides of triangles. Trigonometric exists throughout all of geometry and can be reduced to a grouping of triangles from any horizontal form. Calculus, difficult or real trigonometry, algebra, and infinite series are only a few examples of the mathematics that are related to one another in a startlingly complex way.
Here,
The reciprocal of both the cosine is the secant. This is the fraction of a right triangle's hypotenuse towards the side closest to a particular angle.
The secant of slope in a right angled triangle is calculated by dividing the height of the y axis by the width of the neighboring side.
Thus, its fundamental formula is: sec X =[tex]\frac{Hypotenuse}{Adjacent Side}[/tex]
Additionally, it is the cosine value's reciprocal.
Therefore , the solution of the given problem of trigonometry comes out to be the reciprocal of both the cosine is the secant.
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4x^2 + 5 = 6
SOLVE BY FACTORING SHOW AND EXPLAIN EVERY STEP HURRY PLEASE
Answer: To solve the equation 4x^2 + 5 = 6 by factoring, we need to start by isolating x^2 on one side of the equation.
We have:
4x^2 + 5 = 6
subtracting 5 from both sides:
4x^2 = 1
Dividing both sides by 4:
x^2 = 1/4
Taking the square root of both sides:
x = ± √(1/4)
x = ± 1/2
So the solutions are x = 1/2 or x = -1/2.
It's important to note that we can't factor any x^2 term as it's a squared term and it's not possible to factor it out with any integer or variable.
match each system of equations with the number of solutions the system has
solutions are :
one solution
no solution
infinitely many solutions
What is quotient formula?
A quotient is a number created when two numbers are divided. The formula for this is Quotient = Dividend ÷ Divisor.
The division is the process of dividing one number by any other number to produce a different number. Consequently, the dividend is the number that is divided in this instance. A number's divisor is the one that divides the given number. The quotient is the number that we get as a result.
Then, the quotient formula is given by Quotient = Dividend ÷ Divisor. For example, 50÷5=10. Here, 50 is the dividend, 5 is the divisor, 10 is the quotient, and 0 is the remainder.
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Square each binomials and place them into perfect square trinomial form, then subtract the trinomial
1 (x + 3) 2 - (x - 4) 2
2 (7b2 - 7) 2 - (2b2 - 11) 2
3 (5ab2 + 3) 2 - (6ab2 - 7) 2
The results of subtractions between perfect square trinomials are listed below:
(x + 3)² - (x - 4)² = 14 · x - 7 (7 · b² - 7)² - (2 · b² - 11)² = 45 · b⁴ - 54 · b² - 72 (5 · a · b² + 3)² - (6 · a · b² - 7)² = - 9 · a² · b⁴ + 114 · a · b² - 40How to simplify subtractions of perfect square trinomials
In this problem we have three cases of subtractions between two perfect square trinomials that must be simplified. According to algebra, perfect square trinomials can be expanded by means of the following definition:
(a + b)² = a² + 2 · a · b + b²
Where a, b are real constants.
The procedure is summarized below:
Expand the perfect square trinomials.Add and subtract similar terms.Arrange the resulting polynomial in standard position.Case 1
(x + 3)² - (x - 4)²
(x² + 6 · x + 9) - (x² - 8 · x + 16)
x² + 6 · x + 9 - x² + 8 · x - 16
14 · x - 7
Case 2
(7 · b² - 7)² - (2 · b² - 11)²
(49 · b⁴ - 98 · b² + 49) - (4 · b⁴ - 44 · b² + 121)
49 · b⁴ - 98 · b² + 49 - 4 · b⁴ + 44 · b² - 121
45 · b⁴ - 54 · b² - 72
Case 3
(5 · a · b² + 3)² - (6 · a · b² - 7)²
(25 · a² · b⁴ + 30 · a · b² + 9) - (36 · a² · b⁴ - 84 · a · b² + 49)
25 · a² · b⁴ + 30 · a · b² + 9 - 36 · a² · b⁴ + 84 · a · b² - 49
- 9 · a² · b⁴ + 114 · a · b² - 40
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What is the intersection of plane TUY and plane VUY?
The intersection of plane TUYX and plane VUYZ is found as UY.
Define the term intersection of plane?In geometry, a plane is a flat plate that, from all angles, extends to infinity. Non-parallel planes that intersect together in line are known as intersecting planes. A line is formed by the connection of two planes. The planes are parallel if they do not intersect. Due to the endless nature of planes, they cannot connect at a single place.For the stated question-
According to the supplied figure, TUYX is one side of both the rectangular prism while UVYZ is its opposite side.
One edge, which is represented by the line segment UY, has both sides intersecting perpendicularly.
It is depicted in the figure.
Thus, UY is the line that intersects as a result.
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The correct question is attached.
Two ships are sailing parallel to each other. the path of one ship is represented on a coordinate plane as the line y = –13x 4. the second ship’s path passes through the point (3, 5). select another point that the path of the second ship passes through.
The second ship's route also goes through another site, which is (0, 44)
What is Slope?
A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively.
The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope.
In the coordinate plane, it describes the slope of the line.
Finding the slope between two separate points and calculating the slope of a line are related tasks.
In general, we require the values of any two separate coordinates on a line in order to determine its slope.
According to our question-
Parallel lines have equal slopes.
Therefore,
m₁ = m₂
The equation for one ship's trajectory is
y = - 13x + 4
utilizing the slope-intercept model
y = mx + b
m = -13
slope = -13
The second vessel sails by the points (3, 5). The second argument could be
located below. Remember that they share a slope.
Therefore,
y = -13x + b
using (3, 5) b, the following is obtained:
5 = -13(3) + b
5 = -39 + b
5 + 39 = b
b = 44
The second ship's equation will be as follows:
y = -13x + 44
y = -13(0) + 44
y = 44
The key could be (0, 44)
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(6x -7) +(-4x - 8) simplified
Answer:
2x−15
Step-by-step explanation:
6x−7−4x−8
=6x+−7+−4x+−8
Combine Like Terms:
=6x+−7+−4x+−8
=(6x+−4x)+(−7+−8)
=2x+−15
The temperature in Coldspot is 4 Fand is increasing 2.5 Fper hour The temperature in Frostberg is 30 and is decreasing 4 Fper hour a, How long will it be until the temperatures are the same? What will the temperature be then?
Answer:
Step-by-step explanation:
Que numero o expresión es divisible entre : (3m + 4) y (6m + 8) para que cada una de 0?
Answer: I don't speak spanish
Step-by-step explanation:
Solving Equations
solve for the variable in each of the following equations. Write your final solution as an equation
please tell me the answer to each 4
The solution for given equations are: z = 4, b = -12, w = 5, c = -11
What is mean by equations? How can be solve variables?An equation is a mathematical statement that expresses the equality of two expressions.
Variables are symbols or letters used to represent unknown values in equations.
To solve for a variable, one must first isolate the variable by performing the same operations on both sides of the equation until the variable is alone on one side of the equation.
For example, if the equation is 2x + 4 = 10, the first step would be subtracting 4 from both sides of the equation to get 2x = 6. The next step would be to divide both sides of the equation by 2 to get x = 3. This is how one would solve for the variable in this equation.
According to question:-
A. 3(7z-6)=-(-18z+6)
21z - 18 = 18z - 6
3z = 12
z = 4
B. -8b+2(-5b-2)=212
-8b - 10b - 4 = 212
-18b - 4 = 212
b = -12
C. 4/5w+5 = 1/5w+8
4/5w-1/5w = 8-5
3/5w = 3
w = 5
D. (-c-8)-(7c-6)= 18c+284
-c-8-7c+6 = 18c + 284
18c + 8c = -2-284
26c = -286
c = -11
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The sum of two numbers is 10 and the difference of those two
numbers is 18. (Usef to represent the first number and s to represent
the second number.)
Sketch the shape made with algebra tiles at right on your paper. Then answer parts (a) and (b) below.
A) Find the area and perimeter of the shape.
B) If the algebra tiles were rearranged into a different shape, how would the area change?
The evaluation of the algebra tiles are as follows;
A) The area of the algebra tiles is; 2·x² + 3·x
The perimeter of the tiles is; 6·x + 6
B) If the algebra tiles were rearranged, the area remains 2·x² + 3·x
What are algebra tiles?Algebra tiles are figures that can be manipulated to help explore and understand concepts such as expanding algebraic expressions, factoring expressions, and equations.
Please find attached the possible shape in the question created with MS Word.
A) The area of the of the shape is the sum of the areas of the individual shapes, which are found as follows;
The area = x² + x² + x + x + x = 2·x² + 3·xThe perimeter is the sum of the width and lengths of the rectangles as follows;
The width of the rectangle with area x = 1 unit
The width of the boxes with area x² = x
The length of the sides of each rectangle = x unit
The perimeter, P, of the figure is therefore;
P = x + x + 1 + 1 + 1 + x + 1 + 1 + 1 + x + x + x = 6·x + 6B) The area of the each of the algebra tiles remain the same when the tiles are rearranged, such that the area, of the new shape, which is the sum of the areas of the individual tiles remain the same.
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The hyperbolic orbit of a comet is represented on a coordinate plane with center at (0, 6). One branch has a vertex at (0, 14) and its respective focus at (0, 16). Which equation represents the comet's orbit?
quantity y minus 6 end quantity squared over 100 minus x squared over 64 equals 1
quantity y minus 6 end quantity squared over 64 minus x squared over 36 equals 1
x squared over 100 minus quantity y minus 6 end quantity squared over 64 equals 1
x squared over 36 minus quantity y minus 6 end quantity squared over 64 equals 1
Equation represents the comet's orbit [tex]\frac{x^{2} }{100} -\frac{(y-6)^2}{64} =1[/tex], So correct option is C.
What do you mean by Coordinate Plane?A coordinate plane, also known as a Cartesian plane, is a two-dimensional surface that is used to graph points, lines, and shapes. It is named after the mathematician René Descartes, who is credited with inventing the system in the 17th century.
The coordinate plane is divided into four quadrants by two perpendicular lines called the x-axis and y-axis. The point where the two axes intersect is called the origin and is assigned the coordinates (0,0). The x-axis runs horizontally and is used to measure values along the horizontal (or "x") direction, while the y-axis runs vertically and is used to measure values along the vertical (or "y") direction.
Each point on the coordinate plane can be represented by an ordered pair of numbers, called coordinates, that indicate its position in relation to the x- and y-axes. The coordinates of a point are written as (x, y), where x is the point's distance from the y-axis and y is the point's distance from the x-axis.
The equation that represents the comet's orbit is:
[tex]\frac{x^{2} }{100} -\frac{(y-6)^2}{64} =1[/tex]
This is the standard equation for a hyperbola in the center form, where the center is at (0,6), the distance between the center and the vertex is 8 and the distance between the center and the focus is 2.
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x2+5x+6 in quadratic trinomial
Therefore , the solution of the given problem of quadratic equation comes out to be (x−1)(x+6).
An explanation of a quadratic equationThe quadratic equation x ax2+bx+c=0 is an equations regression model in a single variable. a 0. According to the First Theorem of Algebra, this polynomial has at exactly one solutions because it is of second order. There could be simple or complex solutions. A four-variable equation is referred to as a quadratic equation. This implies that it must have at least one squared word. A typical formula for resolving math problems is "ax2 + bx + c = 0," where the numerical factors or constant a, b, and c stand in for the undefined variable "X."
Here,
Given : x²+5x+6
=> x²+bx+c.
Find two integers with the product c and the sum b.
Whose product in this instance is 6 and Whose summation is 5.
Put these integers to use in factoring the expression.
(x−1)(x+6)
Therefore , the solution of the given problem of quadratic equation comes out to be (x−1)(x+6).
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What is a 3 action sequence?
A 3 action sequence is a set of three actions that are related and follow one another in a logical order.
It is a technique used to break down complex tasks into smaller, more manageable steps. For example, if you want to cook a meal, a 3 action sequence could be: (1) gather ingredients, (2) prepare ingredients, and (3) cook meal. Each of these three steps is related and follows the one before it.
The 3 action sequence is a great tool for breaking down complicated tasks into more manageable parts. It can help you stay on track and keep focus when working on a task. It can also be used to create a timeline for completing a task, or to create a checklist of items that need to be completed.
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Number of Houses Sold
The graph below shows the number of houses sold over x days. What is the average rate of change from day 2 to day
10?
y
(2,8)
(0,0)
2
House Sales
(6.6)
f(x)
(12,4)
(10,2)
4
6 8 10
Number of Days
12
INING
X
02:39:25
The average rate of change from day 2 to day 10 is given as follows:
-0.75 houses sold per day.
How to obtain the average rate of change?The average rate of change of a function is given by the change in the output divided by the change in the input.
The points of interest are given as follows:
(2,8) and (10,2).
The change in the output is of:
2 - 8 = -6.
The change in the input is of:
10 - 2 = 8.
Hence the average rate of change is obtained as follows:
r = -6/8
r = -3/4
r = -0.75 houses sold per day.
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Use the figures to complete the statements proving the converse of the Pythagorean theorem.
Drag and drop a phrase, value, or equation into the box to correctly complete the proof.
Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
To prove the converse of the Pythagorean theorem, we can define a right triangle, Response area, with sides a, b, and x. Then, we will show that if △ABC is a triangle with sides a, b, and c where a² + b² = c², then it is congruent to △DEF and therefore a right triangle.
By the Pythagorean theorem, because △DEF is a right triangle, a² + b² = x².
If a² + b² = x² and a² + b² = c² , then c² = x². Further, since sides of triangles are positive, then we can conclude that c = x. Thus, the two triangles have congruent sides and are congruent.
If △ABC is congruent to a right triangle, then it must also be a right triangle.
Two right triangles with points labeled in capital letters and sides labeled in lower case letters.
The Pythagorean Theorem states that the squares on the hypotenuse (the side across from the right angle) of a right triangle, or, in familiar algebraic notation, a2 + b2, are equal to the squares on the legs.
Who was Pythagoras' inventor?Greek philosopher Pythagoras made significant contributions to mathematics, astronomy, and music theory. Although the Babylonians were aware of the theorem 1000 years prior to Pythagoras, he may have been the first to demonstrate it.
What is Pythagoras' fundamental tenet?The square of the hypotenuse in a right-angled triangle is equal to the sum of the squares of the other two sides, according to a theory put forth by Pythagoras.
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PLEASE HELP!!! I NEED HELP WITH MY HOMEWORK!!!!
(GEOMETRY)
Answer:
3.here,tan45°=10/n
or,1=10/n
:.n=10
Now from Pythagoras theorem,
m²=(10)²+n²
or,m=√100+100
:.m=10√2
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What is 52(4x+8) in simplified form?
Answer: 52(4x+8) in simplified form is 208x + 416.
Step-by-step explanation:
To simplify 52(4x+8) we need to first use the distributive property, which states that:
a(b+c) = ab + ac
So, we can rewrite 52(4x+8) as:
52 * 4x + 52 * 8
Now we can just multiply the numbers:
52 * 4x = 208x
52 * 8 = 416
so the expression simplifies to:
208x + 416
So, 52(4x+8) in simplified form is 208x + 416.
Which question can be answered by finding 4
You have 4 pounds of fruit and use pound. How much fruit is remaining?
How much is of 4 pounds of fruit?
CLEAR
You are buying pound containers of fruit at the store. How many containers do you need to buy to have 4 pounds of truit? Please hely
The question that can be answered by finding 4 1/2 ÷ 1/4 is this:
C. You are buying 1/4 pound containers of fruits at the store. How many containers do you need to buy to have 4 1/2 pounds of fruit?
What expression does the question represent?The expression that is best represented by the question is statement C. Here, we are told to find how many containers we need to buy 4 1/2 pounds of fruit.
Let's assign the figure x to the number of containers we are to find. So,
1/4x = 4 1/2
Divide both sides by 1/4 to find x
x = 4 1/2 ÷ 1/4
Option C is the right answer.
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The figure below shows a circle with center J, diameter FG, and tangent YQ. Which of the angles must be right angles? select all that apply.
The angle which would be tangent a 90 degree in the given diagram would be ∠JYQ, ∠JYW , ∠FYG and ∠FHG
What is a tangent in a circle?A circle's tangent is a single-pointed line that intersects the circle. The point of tangency is the location where the circle and the tangent cross. The circle's radius, where the tangent touches it, is perpendicular to it.
Therefore, JY is perpendicular to QW which means
∠JYQ=∠JYW=90 degrees
Since, J is the center of circle and GF is diameter, there is a theorem which says that angle substended by diameter at any point of circle is 90 degree.
Therefore, ∠FYG =∠FHG=90 degrees.
Hence, ∠JYQ, ∠JYW , ∠FYG and ∠FHG are all the equal to 90 degree.
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hi who know how to do this question?can someone help me solve
Answer:
Below
Step-by-step explanation:
f(1) - 2 = a(1) + b
- 2 = a + b (1)
f(5) 10 = a (5) + b
10 = 5a + b (2)
Multiply first underlined equation by -5 to get
10 = -5a - 5b add this to the second equation (this will eliminate 'a')
20 = - 4 b so b = -5
then the first equation becomes - 2 = a + (-5)
which shows a = 3
so your function is just f(x) = 3x -5