Answer: 8
Step-by-step explanation:
The two lines around -4+3 basically mean the distance of the value to zero which is always positive. -4+3 = -1 and the absolute value of that is 1. 1 times 8 = 8.
y’all plz- help this is so hard
giving brainlest ;)
Answer:
B
Step-by-step explanation:
Answer:
Answer: B.
Step-by-step explanation:
Quadrants in the Coordinate Plane
The coordinate plane is divided into 4 quadrants named I, II, III, and IV as shown in the image attached below.
The first quadrant (I) has the x positive and the y positive
The second quadrant (II) has the x negative and the y positive
The third quadrant (III) has the x negative and the y negative
The fourth quadrant (IV) has the x positive and the y negative.
A point located in quadrant III must have both coordinates negative. This only corresponds to choice B where both components are negative.
Answer: B.
Which type of variable is the Oregon IBI?
O Control
O Dependent
O Independent
O Normal
The Oregon IBI (Index of Biological Integrity) is a dependent variable. It is measure that is observed or measured to assess the health or integrity of a biological system, such as a stream or ecosystem. It is used to evaluate the biological condition of streams in Oregon based on various biological parameters.
In scientific research and data analysis, variables can be classified into different types: dependent, independent, control, or normal. A dependent variable is the variable that is being measured or observed and is expected to change in response to the manipulation of the independent variable(s) or other factors.
In the case of the Oregon IBI, it is an index that measures the biological integrity or condition of streams in Oregon. It is derived from various biological parameters, such as the presence or abundance of certain indicator species, water quality indicators, or other ecological measurements. The Oregon IBI is not manipulated or controlled by researchers; rather, it is observed or measured to assess the health and ecological status of the streams. Therefore, it is considered a dependent variable in this context.
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Do you think the following statement is true or false? "An atom is the smallest unit of matter. Atoms are the basic unit of an element, that are composed of protons, neutrons, and electrons."
The smallest unit of matter is an atom. The fundamental building block of an element is an atom, which is made up of protons, neutrons, and electrons. This statement is true.
An atom is what?An atom is made up of a nucleus and one or more electrons that are bound to the nucleus. The nucleus is made up of one or more protons, a significant number of neutrons, and other particles. Only the most common form of hydrogen lacks neutrons.
An atom, which is the smallest part of a material, retains all of its properties. A molecule is made up of protons, neutrons, and electrons, which are the building components of matter. Protons and neutrons, which are the only particles in an atom that contribute to its atomic mass, are found in the nucleus of each atom. These early 20th-century discoveries of particles that a nuclide itself and chemical components are explained by contemporary atomic theory.
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jar contains 6 quarters, 3 dimes, 4 nickels, and 10 pennies. if a coin is randomly selected from the jar, what is the probability that it will not be a dime or a penny?
Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.
Given that,
6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.
We have to find what is the probability that a coin pulled at random from the jar won't be a dime or a penny.
We know that,
6 quarters, 3 dimes, 4 nickels, and 10 pennies are included in the jar.
6+3+4+10 =23
Probability that a coin pulled at random from the jar will not be a dime is 23-3=20
Probability that a coin pulled at random from the jar will not be a penny is 23-10=13
Therefore, Probability that a coin pulled at random from the jar will not be a dime or penny is 20 or 13.
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find the surface of this rectangular prism.
Answer:
210
Step-by-step explanation:
you just need to multiply all numbers
The mathematics department sponsors Math Family Fun Night every year. In the first year, there were 35 participants. In the third year there were 57 participants.
a) Write an equation that can be used to predict the amount of participants, y, for any given year, x.
b) Give an explanation of the meaning of the slope in this problem.
c) What does the y-intercept represent here?
d) How many participants would they have in the fifth year?
Answer:
a) y=11x+24
b) The slope of this equation is 11. You get the slope by taking the difference of the number of participants over the difference of the years: 35-57/1-3
c) The y intercept is 24 and it would be before the first year. (?)
d) There should be 79 participants in the fifth year.
Step-by-step explanation:
I hope this helped. I'm not 100 percent sure the explanation for letter c.
Two equations are shown:
Equation 1: (x - 12) = 12
Equation 2: Xy - 12 = 12
Solve each equation. Then, enter a number in each box to make this statement true.
The value of x is:
The value of y is:
Answer:
x= 24 ;y =1
Step-by-step explanation:
Solve eqn 1: x=24
Sub x=24 into eqn 2:
24y-12=12
24y=24
y=1
Juanita is riding her bicycle on a trail at the rate of 0.3 kilometers per
minute. Michelle is 11.2 kilometers behind Juanita when she starts traveling
on the same trail at a rate of 0.44 kilometers per minute. Let d represent
the distance in kilometers the bicyclists are from the start of the trail and t
represent the time in minutes. The situation can be represented by the
following system; d=0.3t+11.2 and d=0.44t. How many minutes will it take
Michelle to catch up to Juanita? How far will they be from the start of the
trail? Use the substitution method to determine your answer.
Answer:
It will take Michelle 80 minutes.
They're 35.20 kilometers away from their starting point.
Step-by-step explanation:
We have to find how many minutes it would take Michelle to catch up to Juanita.
We know that Michelle's movement is represented as: d = 0.44t
Juanita's movement is represented as: d = 0.3t + 11.2
To find how many minutes it would take for Michelle to catch up, we will have to solve both equations together and solve for "t", or time.
Solve:
0.44t = 0.3t + 11.2
Subtract 0.3t from both sides.
0.14t = 11.2
Divide both sides by 0.14
t = 11.2/0.14
t = 80
This means that it would take 80 minutes for Michelle to catch up.
To find how far they are, multiply 0.44 by 80.
0.44 · 80 = 35.20
This means that they're 35.20 kilometers away from their starting point.
Find the missing side of each triangle round your answers to the nearest tenth if necessary
The values are given in the solution.
Given are right triangles we need to find the missing sides of the triangles,
Here in the all the parts we will use the Pythagoras theorem,
Formula =
hypotenuse² = √leg² + leg²
1) 5² = x² + 3²
x = √25-9
x = √16
x = 4
2) x² = 12² + 5²
x = √144+25
x = √169
x = 13
3) 10² = 8² + x²
x = √100-64
x = √36
x = 6
4) 15² = 12² + x²
x = √225-144
x = √81
x = 9
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A line passes through the points (-2, 8) and
(5,-20). Which points lie on the same line?
Select all that apply.
(-6, -2)
(-3, 12)
(4, 16)
(0, 6)
(-1, 4)
(7,5)
The points that lies on the same line are (-3, 12), and, (-1, 4).
Here, we have,
The given coordinate points are (-2, 8) and (5,-20).
Here, slope (m)= 8+20/-2-5
= 28/-7
=-4
Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get
8 = 8+c
or, c = 0
So, the equation of a line is y= -4 x
Now,
(-6, -2) in the given equation is -2=-4 (-6)
-2≠ 24
(-3, 12) in the given equation is y= -4 x
12 = 12
(4, 16) in the given equation is y= -4 x
16 ≠ -16
(0, 6) in the given equation is y= -4 x
6 ≠ 0
(-1, 4) in the given equation is y= -4 x
4 = 4
(7,5) in the given equation is y= -4 x
5 ≠ -28
Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).
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The zero of the function of the graph lie at , and the function is
Zero of the function of the graph lie at where the graph cut the x-axis and the function is zero.
What are the zeros of a function?The zeros of a function are the values of the variable of the function such that the values satisfy the equation and give the value of the function equal to 0.
Graphically, we can understand the zeros of a function as the x-coordinates (x-intercepts) where the graph cuts the x-axis. We can determine if the zeros of a quadratic function are real, complex, or repeated using the discriminant formula. So, for a function f(x), its zeros are values of x when f(x) = 0. Hence, if we have f(a) = 0, then 'a' is a zero of the function f(x).
The zeros of a function f(x) are values of the variable x such that the values satisfy the equation f(x) = 0. The zeros of a function are also called the roots of a function.
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O is the centre of the circle, EF is a tangent, angle BCE = 28°, angle ACD = 31°
Line AB = line AC
Write down the size of
a) angle BAC
b) angle ABC
c) angle ADC
d) angle COB
Answer
a. 28˚
b. 76˚
c. 104˚
d. 56˚
Step-by-step explanation
Given,
∠BCE=28° ∠ACD=31° & line AB=AC .
According To the Question,
a. the angle between a chord and a tangent through one of the end points of the chord is equal to the angle in the alternate segment.(Alternate Segment Theorem) Thus, ∠BAC=28°b. We Know The Sum Of All Angles in a triangle is 180˚, 180°-∠CAB(28°)=152° and ΔABC is an isosceles triangle, So 152°/2=76˚
thus , ∠ABC=76° .
c. We know the Sum of all angles in a triangle is 180° and opposite angles in a cyclic quadrilateral(ABCD) add up to 180˚,Thus, ∠ACD + ∠ACB = 31° + 76° ⇔ 107°
Now, ∠DCB + ∠DAB = 180°(Cyclic Quadrilateral opposite angle)
∠DAB = 180° - 107° ⇔ 73°
& We Know, ∠DAC+∠CAB=∠DAB ⇔ ∠DAC = 73° - 28° ⇔ 45°
Now, In Triangle ADC Sum of angles in a triangle is 180°
∠ADC = 180° - (31° + 45°) ⇔ 104˚
d. ∠COB = 28°×2 ⇔ 56˚ , because With the Same Arc(CB) The Angle at circumference are half of the angle at the centre
For Diagram, Please Find in Attachment
What is 6/9 as a decimal rounded to 3 decimal places?
The fraction number 6/9 as a decimal rounded to 3 decimal places will be 0.667.
Given that:
Fraction number, 6/9
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Convert the fraction number into a decimal number. Then we have
⇒ 6/9
⇒ 2/3
⇒ 0.6666666
⇒ 0.667
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solve the following system of equations using the substitution method. –6x 2y = 8 y = 3x 4 question 9 options: a) no solution b) (0, 4) c) infinitely many solutions d) (8, 8)
The correct answer is option c) infinitely many solutions..
To solve the system of equations using the substitution method, we'll substitute the value of y from the second equation into the first equation and solve for x.
Given:
-6x + 2y = 8 ---(1)
y = 3x + 4 ---(2)
Substitute equation (2) into equation (1):
-6x + 2(3x + 4) = 8
Simplify:
-6x + 6x + 8 = 8
8 = 8
We obtained a true statement (8 = 8), which means the two equations are equivalent. This solution shows that the system has infinitely many solutions.
Therefore, the correct answer is option c) infinitely many solutions..
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JGrant Company has sales of $300,000, and the break-even point in sales dollars is $225,000.
To calculate the margin of safety as a percentage, first, we need to determine the margin of safety ratio:
Margin of safety ratio= (current sales level - break-even point)/current sales level
Margin of safety ratio= (300,000 - 225,000)/300,000= 0.25
As a percentage= 0.25*100= 25%
Your calculation and explanation for finding the margin of safety ratio and percentage are correct.
The margin of safety ratio measures the buffer that a company has between its current level of sales and its break-even point, while the margin of safety percentage expresses this ratio as a percentage of current sales. In the given example, the margin of safety ratio is 0.25 or 25%, which means that JGrant Company's current sales level is 25% above its break-even point.
what is percentage?
Percentage is a way of expressing a number as a fraction of 100. It is often used to describe a part of a whole, or to compare two quantities. For example, if there are 20 red marbles and 80 green marbles in a jar, the percentage of red marbles is 20/100 or 20%, and the percentage of green marbles is 80/100 or 80%. Percentages are often represented using the % symbol.
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Determine if each statement below is true or false. If the statement is true, simply write the word True for your answer; no other justification is needed. If the statement is false, you should write the word False and also give a counter- example to the statement to justify your answer. For example, if the statement is "For all sets A and B, A CAN B", a cor- rect answer would be: False. If A {1, 2} and B = {2,3},then An B = 2, and A & ANB Assume in all cases that that the domain of the given sets is N. In other words, A, B and C are subsets of the natural numbers. (4 pts each) (a) For all sets A and B, B C (AUB). (b) For all sets A and B, (AUB) C A. (c) For all sets A and B, (AUB) - B = A. (d) For all sets A and B, A - (B - A) = A. (e) For all sets A, B and C, if A + B and B + C then A #C.
All of the statements are false except statement d. Counter-examples are given for each false statement each and explained below.
How to Write a Counter-example?a) The statement is incorrect because there may exist elements in set B that are not included in the union of sets A and B.
Counter-example: if we take A as {1} and B as {2}, we can see that B is not part of the union of A and B, denoted as A ∪ B.
(b) The statement is incorrect because the union of sets A and B can include elements that are not in set A.
Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) = {1, 2}, and {1, 2} is not a subset of A since it contains an element (2) that is not in A.
(c) The statement is false because removing set B from the union of sets A and B may result in elements that are not present in set A.
Counterexample: Let A = {1} and B = {2}. Then (A ∪ B) - B = {1} - {2} = {1}, which is not equal to A.
(d) The statement is true because removing the set A from the set B minus A will result in set A itself.
(e) The statement is false because there can be cases where sets A, B, and C have overlapping elements, indicating that A is not disjoint from C.
Counterexample: Let A = {1}, B = {2}, and C = {1, 2}. Then A + B = {1, 2} and B + C = {1, 2}, but A ∩ C = {1} is not an empty set, so A and C are not disjoint.
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Kristen is building a pattern using triangles
Answer:
good for Kristen! lol
Step-by-step explanation:
glad she's enjoying herself! thanks for the points... have a good day!
Answer:
yrsese
Step-by-step explanation:
What value of x makes the equation -4+12x=8 true?
Answer:
1
Step-by-step explanation:
In the game Deal or No Deal, participants choose a box at random from a set of one containing each of the following values:After choosing a box, participants eliminate other boxes by opening them, showing the amount of money in the box to the crowd, and then removing that box (and its money!) from the game. What is the minimum number of boxes a participant needs to eliminate in order to have a half chance of holding at least as his or her chosen box
The minimum number of boxes a participant needs to eliminate is 12. The half chance of holding at least $100,000 as his/her chosen box is 7/14 from the whole chances of 7/26.
At what chance the participant can hold a box with $100,000?There are 26 boxes.
The required money is at the 7 the stage box.
So, the chance of holding at least $100,000 is 7/26.
What is the minimum number of boxes a participant needs to eliminate for the required amount with half chance of holding?Since the required value is available at a 7/26 chance of holding, the boxes that are less than $100,000 are removed.
So, 12 boxes holding less than $100,000. So, the probability of half chance of holding at least $100,000 is 7/14.
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Disclaimer: The given question on the portal is incomplete. Here is the complete question.
Question: In the game Deal or No Deal, participants choose a box at random from a set of one containing each of the following values:
$0.01, $1,000
$1, $5,000
$5, $10,000
$10, $25,000
$25, $50,000
$50, $75,000
$75, $100,000
$100, $200,000
$200, $300,000
$300, $400,000
$400, $500,000
$500, $750,000
$750, $1,000,000
After choosing a box, participants eliminate other boxes by opening them, showing the amount of money in the box to the crowd, and then removing that box (and its money!) from the game. What is the minimum number of boxes a participant needs to eliminate to have a half chance of holding at least $100,000 as his or her chosen box?
(1,3),(2,6),(3,9),(4,12) is the relation a function
How do you multiply polynomials step by step?
A polynomial is a mathematical expression consisting of variables, coefficients, and exponents, we can be multiply two polynomials step by step.
Distribute each term of the first polynomial to every term of the second polynomial.
Combine like terms by adding the coefficients of the terms that have the same variables raised to the same powers.
Simplify the result by arranging the terms in descending order of the exponent of the variable.
For example, let's say you want to multiply (2x + 3) and (x - 4):
(2x + 3) * (x - 4) = 2x * x - 2x * 4 + 3 * x - 3 * 4
Simplify the terms: 2x^2 - 8x + 3x - 12
Combine like terms: 2x^2 - 5x - 12
Therefore, the product of (2x + 3) and (x - 4) is 2x^2 - 5x - 12.
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Write inequalities to describe the region.
The solid upper hemisphere of the sphere of radius 2 centered at the origin
x^2 + y^2 + z^2 ≤ 4
z ≥ 0
The region you're describing is the solid upper hemisphere of a sphere with radius 2, centered at the origin. We'll use inequalities to define this region.
Let's use (x, y, z) to represent a point in the 3-dimensional space. The sphere centered at the origin with radius 2 can be described by the equation:
x^2 + y^2 + z^2 = 2^2
Since we're interested in the upper hemisphere, we want to include only the points where the z-coordinate is non-negative. Therefore, we have the inequality:
z ≥ 0
Combining the sphere equation and the inequality for the upper hemisphere, we get the inequalities:
x^2 + y^2 + z^2 ≤ 4
z ≥ 0
These inequalities describe the region of the solid upper hemisphere of the sphere with radius 2, centered at the origin.
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What is the equation in slope – intercept form? 7x + 2y = 14
Answer:
y = - \(\frac{7}{2}\) x + 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c
Given
7x + 2y = 14 ( subtract 7x from both sides )
2y = - 7x + 14 ( divide all 3 terms by 2 )
y = - \(\frac{7}{2}\) x + 7 ← in slope- intercept form
Solve for the roots of x in each of the equations below. a. x4 - 81 = 0 b. x4 + 10x2 + 25 = 0 c. x4 - x2 - 6 = 0
The quadrupled functions can be evaluated by transforming them into quadratic functions to solve for the roots as follows;
a. x = ±3, and x = ±3·i
b. x = ±√(5)·i
c. x = ±√3, and ±i·√2
What are quadratic functions?Quadratic functions are functions that have an highest power of 2, and which can be expressed in the form; a·x² + b·x + c = 0, where; a ≠ 0, and a, b, and c are numbers.
The specified roots of the quadrupled functions which can be expressed as quadratic function can be found as follows;
a. x⁴ - 81 = 0
x⁴ - 81 = ((x²)² - 9²) = 0
The difference of two squares equation indicates;
((x²)² - 9²) = (x² - 9) × (x² + 9) = 0
x² = 9, and x² = -9
x = ±3 and x = ±3·i
b. The roots of x⁴ + 10·x² + 25 = 0 can be found by taking x² = a, therefore;
x⁴ + 10·x² + 25 = a² + 10·a + 25 = 0
a² + 10·a + 25 = (a + 5) × (a + 5) = 0
a = -5
Therefore; x² = a = -5
x = √(5)·i
c. x⁴ - 2·x² - 6 = 0
Let x² = a, we get;
a² - 2·a - 6 = 0
(a - 3) × (a + 2) = 0
Therefore; a = 3, and a = -2
x = √a = ±√(3) = ±i·√(2)
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The question is on a screenshot
Answer:
\(x=\frac{4}{15}\)
Step-by-step explanation:
\(\frac{3}{4}x=\frac{1}{5}\\\mathrm{Multiply\:both\:sides\:by\:}4\\Simplify\\4\cdot \frac{3}{4}x=\frac{1\cdot \:4}{5}\\\mathrm{Simplify\:}4\cdot \frac{3}{4}x:\quad 3x\\\mathrm{Simplify\:}\frac{1\cdot \:4}{5}:\quad \frac{4}{5}\\3x=\frac{4}{5}\\\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\Simplify\\\frac{3x}{3}=\frac{\frac{4}{5}}{3}\\\mathrm{Simplify\:}\frac{3x}{3}:\quad x\\\mathrm{Simplify\:}\frac{\frac{4}{5}}{3}:\quad \frac{4}{15}\\x=\frac{4}{15}\)
Answer:
\( \frac{4}{15} \)
2nd answer is correct
step by step explanation
\( \frac{3}{4} \times x = \frac{1}{5} \\ x = \frac{1}{5} \times \frac{4}{3} \\ x = \frac{4}{15} \)
hope this helps
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in a binomial probability problem, if the nature of the problem is such that it is feasible to use either the binomial tables or the normal distribution to approximate the probability, which would give the more accurate answer?
If the sample size is large and the probability of success is not too close to 0 or 1, using the normal distribution to approximate the binomial probability will generally give a more accurate answer than using the binomial tables. However, if the sample size is small or the probability of success is very close to 0 or 1, using the binomial tables may be more accurate.
If the sample size is large (typically, n ≥ 30) and suppose that the probability of success (p) is not too close to 0 or 1, then we can use the normal distribution. As it gives more approximate value to the binomial probability which will generally give a more accurate answer than using the binomial tables.
This is because the normal distribution provides a more precise approximation of the binomial distribution as the sample size increases.
However, if the the probability of success is very close to 0 or 1 or sample size is small then using the binomial tables to calculate the probability directly may be more accurate. In general, it's important to check the conditions for using the normal approximation before using it and to use good judgment in deciding which method is more appropriate for a given problem.
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for tires with a lifetime below 30,000 miles, Grear will refund a customer $1 per 100 miles short of 30,000 . (a) For each tire sold, what is the average cost of the promotion (in $ )? (Use at least 1,000 trials. Round your answer to two decimal places.) $ (b) What is the probability that Grear will refund more than $25 for a tire? (Use at least 1,000 trials. Round your answer to three decimal places.)
(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. (b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials.
(a) The average cost of the promotion per tire sold by Grear can be calculated by simulating the refund amounts for a large number of trials. Assuming each trial represents a tire sold, we can calculate the refund amount for each trial based on the difference between the tire's lifetime and 30,000 miles. By averaging the refund amounts over the trials, we can determine the average cost of the promotion. Let's simulate at least 1,000 trials to obtain a reliable estimate.
(b) To determine the probability that Grear will refund more than $25 for a tire, we again simulate a large number of trials. For each trial, we calculate the refund amount as we did in part (a). Then, we count the number of trials where the refund amount exceeds $25 and divide it by the total number of trials. This will give us the probability of refunding more than $25. By simulating at least 1,000 trials, we can obtain a reasonably accurate estimation of the probability.
Due to the constraints of the current text-based interface, I'm unable to perform the simulations and calculations required to provide you with the specific numerical answers. However, you can apply the described methodology to conduct the simulations using programming or spreadsheet software to obtain the desired results.
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r\6 = 8
what does r equal?
A clay model in the shape of a triangular pyramid has a height of 5 inches. The area of the base of the clay model is 12 square inches. What is the volume of the sculpture in cubic inches
The sculpture's base length = 9 cm and the height of sculpture is found as 6 cm.
Explain about the pyramid:
The base and apex are joined to form a pyramid. To identify them from the base, the triangular sides are also also referred to as lateral faces. In a pyramid, the apex, which creates the triangle face, is connected to each base edge.
volume of a pyramid = V=1/3 a²h
Given volume V = 162 cm³
Let 'x' be the side length.
Then , (x - 3) be the height of sculpture.
Put the values and find the length.
162 = 1/3 (x)² (x-3)
162 * (3) = (x)² (x-3)
486 = x²(x-3)
486 = x³ - 3x²
x³ - 3x² - 486 = 0
(use a graphing tool or calculator equation mode).
x = 9
Thus,
side length of sculpture = 9 cm
height of sculpture = 9 - 3 = 6cm
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Correct question:
Nathan has a sculpture in the shape of a pyramid. The height of the sculpture is 3 centimeters less than the side length,x,of its square base. Nathan uses the formula for the volume of a pyramid to determine the dimesnsioms of the sculpture.
V=1/3 a^2h
Here, a is the side length of the pyramids square base and h is it’s height.
If 162 cubic centimeters of clay were used to make the sculpture, the equation x^3 + _x^2+ _ =0 can be used to find that the length of the sculptures. base is _ centimeters.
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Evaluate 12x-3(3x-5)+24 when x = 2
Answer:
Step-by-step explanation: All we are doing here is inserting 2 in place of all the x variables. So that is written as 12(2)-3(3(2)-5)+24. Next, we follow the order of operations to solve
1) Multiply 3 by 2 and subtract by 5 inside the parenthesis = 12(2)-3-1+24
2) Multiply 12 by = 24-3+1+24
3) subtract 3 from 24 = 21+24
4) Add the final two terms = 45
MARK BRAINLIEST