88 cm is the circumference of a circle with a diameter of 28 cm.
What is Three dimensional shape?
a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.
The circumference of a circle with a diameter of 28 cm.
Radius = 28/2
Radius is 14 cm.
Circumference=2πr
=2×3.14×14
=87.92=88 cm
Hence, 88 cm is the circumference of a circle with a diameter of 28 cm.
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For what values of k do the equations 3x y 8 0 and 6x Ky =- 16 represent coincident lines?
The equations 3x − y + 8 = 0 and 6x − ky = −16 represent coincident lines. So values of k is 2.
Determine the value of kGiven the equation
3x − y + 8 = 0
6x − ky = −16 ⇔ 6x − ky + 16 = 0
Here, a₁ = 3, b₁ = -1, c₁ = 8
and a₁ = 6, b₁ = -k, c₁ = 16
The equations will only represent coincident lines if the two equations have an infinite number of solutions, then [tex]\displaystyle \frac{a_1}{a_2} = \frac{b_1}{b_2} = \frac{c_1}{c_2}[/tex].
Therefore
[tex]\begin{aligned} \frac{a_1}{a_2} & = \frac{b_1}{b_2} \\ \frac{3}{6} & = \frac{-1}{-k} \\ \frac{1}{2}& = \frac{1}{k} \\ k & = 2\end{aligned}[/tex]
So the value of k is 2
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please select the best answer from the choices provided a b c d
The best answer would be 213.
Assuming that the sign denotes summation, we are adding from k=4 to k=9.
To get, we change k=4 to k=9.
We simplify obtaining,
To simplify means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
Summarizing mainly entails entering the values k=4, 5, 6, 7, 8, and 9 into the formula section 5K+3 and adding them all together.
So, the result is:
(5(4)+3)+(5(5) + 3) + (5(6) + 3) + (5(7) +3) + (5(8) + 3) + (5(9) + 3) 23+28+33 +38+43 + 48
= 213
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The area of the circle above is 153.86 units2. What is the circumference of the circle?
Step-by-step explanation:
[tex]area \: ofa \: circle = \pi {r}^{2} [/tex]
[tex]\pi {r}^{2} = \frac{22}{7} \times {r}^{2} \\ 153.86 = \frac{22}{7 } \times {r}^{2} \: \: \: \: \: \: \\ {r}^{2} = \frac{153.86 \times 7}{22} \\ {r}^{2} = \frac{1,077.02}{22}\\ r = \sqrt{48.95} \\ = 6.99[/tex]
So let's take r as 7
[tex]circumference \: of \: a \: circle = 2\pi r[/tex]
[tex]2\pi r = 2 \times \frac{22}{7} [/tex]
= 2× 22/7 × 7
= 44
find the equation of the line that is perpendicular to the line y=-4x-4) and passes through the line (-1,8)
Step-by-step explanation:
We know that the product of slopes of two perpendicular lines is -1 . So the slope of the line perpendicular to the given line will be negative reciprocal of the slope of the given line. The given line is,
[tex]\implies \rm y = -4x -4 [/tex]
on comparing it to the slope intercept form of the line we have,
[tex]\implies \rm m =-4\ (slope)[/tex]
so the slope of the perpendicular line would be,
[tex]\implies \rm m_{\perp}=\dfrac{1}{4} [/tex]
Now we may use the point slope form of the line ro to find out the equation of the line that passes through the given point as ,
[tex]\implies \rm y - y_1 = m(x-x_1)\\[/tex]
[tex]\implies \rm y -8=\dfrac{1}{4}\{ x -(-1)\}\\[/tex]
[tex]\implies \rm 4y -32 = x +1\\ [/tex]
[tex]\implies \rm x-4y +33=0 [/tex]
and we are done!
-rishabh
X=
2x 10,
4
10
How do i find x?
Answer:Solve for x 2x-4=10 2x − 4 = 10 2 x - 4 = 10 Move all terms not containing x x to the right side of the equation. Tap for more steps... 2x = 14 2 x = 14 Divide each term in
Step-by-step explanation:
What is a parabola function called?
A function f(x) = ax^2 + bx + c, where a, b, and c are numbers and an is not equal to zero, is a quadratic function. A parabola is the shape of a quadratic function's graph.
A function is a parabola. A parabola with an upward or downward opening is represented by the graph of a quadratic function. If the graph has the formula y = ax^2 + bx + c, then it is a parabola (where a is not zero). A parabola, however, is not a one-to-one function.
Additionally, because it violates the vertical line test, a "sideways" parabola of the form x = ay2 + by + c is not a function.
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About 40% of students pack their lunch for school. Use that statistic to answer the questions below.
a. The number of student that pack a lunch is 12.
b. The number of student that pack a lunch is 400.
c. Each of these numbers is how many students you can expect to pack a lunch in each group
How to find the number of student that pack there lunch in school?About 40% of students pack their lunch for school.
Let's solve the following question using the percentage above:
In a classroom with 30 students, how many do you expect to pack a lunch?
number of student that pack a lunch = 40% of 30
number of student that pack a lunch = 40 / 100 × 30
number of student that pack a lunch = 1200 / 100
Therefore,
number of student that pack a lunch = 12
In a school with 1,000 students, how many do you expect to pack a lunch?
number of student that pack a lunch = 40% of 1000
number of student that pack a lunch = 40 / 100 × 1000
number of student that pack a lunch = 40000 / 100
number of student that pack a lunch = 400
The number of student that pack a lunch is just a prediction.
Each of these numbers is how many students you can expect to pack a lunch in each group.
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Why is 1 the smallest factor?
PLEASE HELP WITH THIS I NEED ANSWER AND STEPS PLEASE
The unknown angle in the triangle is as follows:
∠E = 60 degrees.
How to find the angle of a triangle?The sum of angles in a triangle is 180 degrees. The angle ∠E can be found using exterior angle theorem.
Therefore, the exterior angle theorem states that the measure of an exterior angle is equal to the sum of the measures of the two remote interior angles of the triangle.
Hence,
120 = ∠C + ∠E
ΔEBC is an isosceles triangle. Therefore, the base angles are congruent.
∠B ≅ ∠C
∠C = 60°
Therefore,
∠E = 120 - 60
∠E = 60 degrees
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Wilson's Woodworking Shop produces wood chairs and sells them for $250. The company's weekly profit, (y), depends on the number of $1.50 price increases (x) for each chair. Use the graph below to answer the question.
Graph of function with the x-axis labeled as number of price increases, and the y-axis labeled as profit. The curve begins at (0, 300), increases to (40, 1100), and then decreases through (86.904, 0).
What is the approximate value of the maximized profit?
200
800
1000
1100
The approximate value of the maximized profit include the following: D. 1100.
What is profit?In Economics, profit can be defined as a measure of the amount of money (revenue) that is generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.
Mathematically, the profit function P(x) of a company simply refers to the revenue function R(x) minus the cost function C(x):
P(x) = R(x) - C(x)
Where:
R(x) represents the revenue or the amount of money generated.C(x) represents cost or the amount of money spent.Based on the graph of the company's weekly profit, (y), we can logically deduce that its maximized profit would occur at point (40, 1100) because this is the vertex of profit function P(x).
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Which of the following T-tables would NOT be an appropriate model for the function shown here?
The table B would not be an appropriate model for the function shown here.
What is a function?A relation between a collection of inputs and outputs is known as a function. A function is a connection between inputs in which each input is connected to precisely one output. Each function has a range, co-domain, and domain.
Given:
A function is shown here.
In the graph:
When x = 2, then f(x) = 2 ≠ 0.
From the given choices:
The table B gives contradiction.
Therefore, the table D is not an appropriate model.
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2. Find the slope of the line. Use the two points shown.
Answer:
slope = 2
Step-by-step explanation:
calculate the slope m using the slope formula
m = [tex]\frac{rise}{run}[/tex] = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 1, - 5) and (x₂, y₂ ) = (2, 1) ← 2 points on the line
m = [tex]\frac{1-(-5)}{2-(-1)}[/tex] = [tex]\frac{1+5}{2+1}[/tex] = [tex]\frac{6}{3}[/tex] = 2
What is the derivative of 5x²?
the derivative of 5x² is 2(5)(x²)⁻¹, which simplifies to 10x. Thus, the derivative of 5x² is 10x.
the derivative of 5x² is 2(5)(x²)⁻¹, which simplifies to 10x. Thus, the derivative of 5x² is 10x.
10x
The derivative of 5x² is 10x. This can be determined by using the power rule of calculus which states that the derivative of xⁿ is nxⁿ⁻¹. In this case, n is 2 and xⁿ⁻¹ is x¹, so the derivative of 5x² is 2(5)(x²)⁻¹ which simplifies to 10x.
The derivative of 5x² is 10x. This can be determined by using the power rule of calculus, which is a fundamental rule used to find the derivatives of polynomials. According to the power rule, the derivative of xⁿ is nxⁿ⁻¹, where n is the exponent of the polynomial. In this case, the exponent of 5x² is 2, and the corresponding xⁿ⁻¹ is x¹. Therefore, the derivative of 5x² is 2(5)(x²)⁻¹, which simplifies to 10x. Thus, the derivative of 5x² is 10x.
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Which graph is parallel to x-axis Mcq?
All lines having equation of the type y=k are parallel to the x-axis .
What is Equation of Straight line ?
Equation of Straight line as follows : y = mx+b
where m is the slope of the line
c is the y intercept
Hence, this is the most common equation of a straight line used in the geometry .
The slope of the x-axis is 0 and the origin lies on the x-axis
Hence, The equation of the x-axis
could be,
y - 0 = 0 (x-0)
y = 0
As parallel lines have equal slope, all lines having the equation of the type y=k will have slope 0.
Hence, All lines having equation of the type y=k are parallel to the x-axis
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The area of triangle YOU is 84 square cm, find the area of triangle WIN
The area of triangle WIN is also 84 square cm.
Find the triangle's area.The idea applied in this problem is the triangle's area formula, A = 1/2bh, where b is the base and h is the height.
These are the steps in this procedure:
The first step is defining a triangle as a three-sided form with three sides and three angles.
Step 2: The equation A = 1/2bh, where b is the base and h is the height, is used to calculate the area of a triangle.
3. Since the area of triangle YOU is specified as being 84 square cm, triangle WIN's area must also be 84 square cm.
Step 4: The triangular WIN's area is 84 square centimeters as a result.
The idea applied in this problem is the triangle's area formula, A = 1/2bh, where b is the base and h is the height.
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Triangle PQR is reflected across the line y = 0. The image is then translated 5 units to the right, resulting in STU. Which of the following statements are true? Select all that apply.
The coordinates of the triangle STU will be -
S(- x₁ + 5, y₁)
T(- x₂ + 5, y₂)
U(- x₃ + 5, y₃)
What is the difference between upward, downward, leftwards and rightwards translation?Upward translation → [k] units → When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.Downward translation → [k] units → When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.Leftward Translation → [k] units → When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.Rightward Translation → [k] units → When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right.Given is that triangle PQR is reflected across the line y = 0. The image is then translated 5 units to the right, resulting in triangle STU.
Since the triangle is not given, let the coordinates of the triangle be -
P(x₁, y₁)
Q(x₂, y₂)
R(x₃, y₃)
The reflection of point (x, y) across the y-axis is (-x, y). So, the new coordinates will be -
P'(- x₁, y₁)
Q'(- x₂, y₂)
R'(- x₃, y₃)
After the coordinates of the triangle are translated to right by 5 units, the coordinates will become -
P"(- x₁ + 5, y₁)
Q"(- x₂ + 5, y₂)
R"(- x₃ + 5, y₃)
Therefore, the coordinates of the triangle STU will be -
S(- x₁ + 5, y₁)
T(- x₂ + 5, y₂)
U(- x₃ + 5, y₃)
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How do you plot x =- 1?
To plot x = -1 on a graph, draw a vertical line at x = -1 and extend it infinitely in both directions.
To plot x = -1, start by drawing a horizontal line on the x-axis. Then, use a ruler to draw a vertical line at x = -1. Make sure that this vertical line extends infinitely in both directions, above and below the x-axis.
This line will represent x = -1. Now, draw a point at the intersection of the vertical and horizontal lines. This point will be the point where x = -1. To double-check your work, label the point as (-1, 0).
This means that the x-value is -1, and the y-value is 0. If you wish, you can extend the vertical line in both directions to get a better sense of the line's position. Congratulations, you have now plotted x = -1 on your graph!
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What are the steps in solving trigonometric ratios?
Trigonometric ratios are an important part of problem solving in mathematics.
What is trigonometric ratio?They help us find the lengths of sides and angles of triangles when certain information is provided. Here is a step-by-step guide to solving trigonometric ratios:
1. Identify the ratio you need to solve. Do you need to find the sine, cosine, or tangent of an angle? Knowing which ratio you need to solve is the first step.
2. Figure out which side of the triangle you are given. Do you know the length of the adjacent side, the opposite side, or the hypotenuse? Knowing this will help you determine which trigonometric ratio to use.
3. Substitute the given information into the trigonometric ratios. Once you have identified the ratio you need to use and the information you have, you can substitute these into the equation.
4. Solve the equation. This step involves using algebra to solve the equation.
5. Check your answer. Once you have solved the equation, make sure to check your answer by plugging it back into the equation to verify that it is correct.
These are the basic steps for solving trigonometric ratios. With practice and a good understanding of the basics of trigonometry, you can become an expert in solving trigonometric ratios.
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What are the 5 ways of factoring?
There are several methods for factoring expressions, including factoring out the greatest common factor (GCF), by grouping, using the difference of squares or sum/difference of cubes, using the FOIL method or the reverse FOIL method or using special cases such as perfect square trinomials or difference of squares.
Factoring out the GCF: This method involves finding the greatest common factor of all the terms in an expression and then dividing it out of each term. For example, if we have the expression 12x^2 + 8x^2, the GCF is 4x^2, so we can factor it out and write the expression as 4x^2(3 + 2).
Factoring by grouping: This method involves grouping the terms of an expression into pairs and factoring out a common factor. For example, if we have the expression x^2 + 3x + 2x + 6, we can group the first two terms and the last two terms and factor out a common factor of x from the first group and 2 from the second group. This gives us x(x + 3) + 2(x + 3)
Factoring quadratics: There are a few methods to factor quadratics, such as factoring a difference of squares, or factoring a sum or difference of cubes. For example, if we have the expression x^2 - y^2, we can factor it as (x-y)(x+y) using difference of squares.
Factoring trinomials: There are a few methods to factor trinomials, such as FOIL method or reverse FOIL method. The FOIL method is a mnemonic acronym for first, outer, inner, and last, which is used to multiply two binomials. Reverse FOIL is used to factor a trinomial that is the product of two binomials. For example, if we have the expression x^2 + 5x + 6, we can factor it as (x+2)(x+3) using reverse FOIL method.
Factoring special cases: There are some special cases of factoring that have specific methods. For example, factoring perfect square trinomials such as x^2 + 2x + 1 is factored as (x+1)^2 and factoring difference of squares such as x^2 - y^2 is factored as (x-y)(x+y)
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Julia opened a new flower shop, and her daily sales are modeled by f(x) = 2(1. 25)x. Determine the rate of growth.
GDP, turnover, wages, and other values' growth rates indicate how much something has changed over time (month, quarter, year). It is typically stated as a percentage.
How do you calculate growth rate?A value's growth rate (such as GDP, turnover, earnings, etc.) gauges how much it has changed over time (month, quarter, year). It is quite frequently expressed as a percentage.
Growth rates are used to quantify the annual percentage change in a variable. If a variable has a positive growth rate, it is increasing over time; if it has a negative growth rate, it is declining over time. Growth rates can be helpful in evaluating a company's performance and forecasting future performance.
f(x) = 2 * (1.25)^x
This has the shape of
y = a b^x
where b is the growth rate multiplied by one
B = 1.25 + growth rate = 1
1.25 = 1 + the growth rate
Growth rate is.25
25% is the growth rate.
Therefore, the correct answer is option d) 25%.
The complete question is:
Julia opened a new flower shop, and her daily sales are modeled by f(x) = 2(1.25)x. Determine the rate of growth.
A.2%
B.125%
C.75%
D.25%
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The points (−8, 19) and (−3, r) lie on a line with slope −3.
Find the missing coordinate r.
If the number of bacteria in a colony doubles every 203 minutes and there is currently a population of 40 bacteria, what will the population be 812 minutes from now?
Answer: 320
Step-by-step explanation: 812 divided by 203 is 4
203 min = 40 bacteria.
203 + 203 = 406
406 min = 80 bacteria because 40 times 2 is 80.
406 + 203 = 609
609 min = 160 bacteria because 80 time 2 is 160.
609 + 203 = 812
812 min = 320 bacteria because 160 time 2 is 320.
How do you know if there is no solution to a system of equations?
A two-variable linear equation of the form axe + by + c = 0 with the variables a, b, c R, a, and b being zero.
We can figure out how many solutions there are by comparing the coefficients of the equations while taking the system of linear equations into account. The existence of an unlimited number of solutions to the equation system or only one solution may also be determined graphically. You will learn how to test whether a system of equations has an infinite number of solutions in this article.
A system of equations has either no solution or an infinite number of solutions.
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which of the following is not a polynomial?
a) x²+√2x+3
b)x²+√2x+6
c)x³+3x²-3.
d)6x+4​
The answer is d) 6x+4. This is not a polynomial because it is a linear equation and does not have multiple terms.
A polynomial is a mathematical expression made up of one or more terms, each of which is a numerical coefficient multiplied by a variable raised to a non-negative integer power. For example: x^2 + 3x + 5.
In this polynomial, x is the variable and 2, 3, and 5 are the coefficients. The power of x is 2, 1, and 0 respectively, which are all non-negative integers. The equation d) 6x+4 does not meet these criteria, as the power of x is not present and the coefficient is not a numerical value.
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Tammi and Orlando each
decomposed 1. 3/4 Tammi
wrote
Orlando wrote 4/4+3/4
2/4+2/4+3/4.
Who was correct? Explain.
The mixed number 1 3/4, written as sum of whole number and fraction as 4/4 + 3/4 . So, Tammi is correct here.
Mixed numbers are formed by combining three parts: a whole number, a numerator, and a denominator. The numerator and denominator are part of the correct fraction in the mixed number. It usually represents a number between any two integers. To write the mixed number as a sum of fraction and whole number.
Multiply the whole part by the denominator of the fraction and add to numerator of the fraction.keep the same denominator.We have, Tammi and Orlando each decomposed the following mixed number [tex]1\frac{3}{4}[/tex],
where whole number = 1, fraction = 3/4 i.e., numerator = 3, denominator = 4. The expression written by Tammi = 4/4+3/4
and Orlando wrote it as 2/4+2/4+3/4.
Now, Multiply whole part by denominator and add to numinator with same denominator we get the following expression, 1× 4/4 + 3/4 = 4/4 + 3/4. So, Tammi wrote the correct answer.
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How to solve 9x 7 6x 15?
The value of x in the equation 9x+7=15+6x is 2.66
When we have an equation, we can divide it into two parts, the left and right sides. In short, we call the equation LHS and RHS.
If we get both LHS and RHS as equal values, we can say that the equation is true; otherwise, the equation does not hold for at least some real-number values.
Given that,
9x+7=15+6x
Bring x terms to LHS and constants to RHS
9x-6x=15-7
we get,
3x= 8
taking 3 to RHS
in LHS we multiply with two so it becomes divided on RHS
so
x=8/3
x=2.66
Thus, the value of x in the equation 9x-6x=15-7 is 2.66
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What are the 5 properties of matters?
The 5 properties of matters can include things like density, color, odor, hardness, and volume.
Any item with mass and volume is considered to be matter, which includes all atoms and subatomic particles as well as all chemical combinations, everyday things, etc. Any characteristics that can be measured, such as an object's density, color, mass, volume, length, malleability, melting point, hardness, odor, temperature, and others, are considered to be part of its properties. Some characteristics of matter, like the density of gold, are constant, but others rely on the quantity of matter present (like the mass of a golf ball in comparison to that of a bowling ball) or the characteristics of the mixture. All atoms of a given element will share characteristics with that element, however chemical reactions have the power to significantly alter an element's characteristics.
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i) k is a non-zero whole number. Given that
6 x 54 x k is a perfect cube, write down the
Smallest value of k.
Is a No solution system Dependent?
A system of equation with no solution or zero solution equation is not considered as a dependent because it is inconsistent.
When the same line is written in two different forms so that there might be an infinite number of solutions, this is an example of what is known as a dependent system of equations. If the equations have the same slope and y-intercepts, a system is considered dependent. For the equations to represent the same line, the lines must coincide. Every point on the line is a coordinate pair that works with the system.
To establish whether a linear system is inconsistent, the first step is to determine whether the lines are parallel. If this is the case, you need to find out if the lines share a y-intercept. Since two parallel lines with distinct y-intercepts would never collide, this finding indicates that the system is inconsistent.
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If you were born in 1999 at 11:59 pm would you be considered a 2000
Answer:
No, because 1999 at any time is 1999. If the time didn't officially occur at the year 2000, then you were born on the year 1999, not 2000.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Yes, if someone is born on December 31st at 11:59 p.m., they are regarded to be born in the next calendar year.
This is due to the fact that we utilize the Gregorian calendar, which is a solar calendar with 365 days in a normal year and 366 days in a leap year. The calendar year runs from January 1st to December 31st.
When a person is born at 11:59 p.m. on December 31st, they are born after the end of December 31st but before the start of January 1st. As a result, they are deemed to have been born in the following calendar year. In this situation, the individual is regarded to have been born in the year 2000.