Answer:
6.3cm
Step-by-step explanation:
The sides can be found by taking the square root of the area.
(Area)1/2=s, where s = side.
(40)1/2=6.3.
So the length of a side is 6.3 cm.
A pizza shop manager randomly inspects pizzas each day prior to their delivery to make sure they have been prepared properly. The manager uses a 10-item checklist for each inspected pia. One day, the manager inspected 74 pizzas. During the inspection, 3 pizzas were found to have a total of 8 non-conformances. What was the process throughout yield? Round and report your answer to four (4) decimal places
The process throughput yield rounded and reported to four (4) decimal places is 98.9189%.
To find the process throughput yield, follow these steps:
1. Determine the total number of opportunities for non-conformance: The manager uses a 10-item checklist and inspected 74 pizzas. Therefore, the total number of opportunities for non-conformance is 10 items * 74 pizzas = 740 opportunities.
2. Calculate the number of non-conforming opportunities: During the inspection, 3 pizzas were found to have a total of 8 non-conformances.
3. Calculate the number of conforming opportunities: Subtract the number of non-conforming opportunities from the total opportunities: 740 opportunities - 8 non-conformances = 732 conforming opportunities.
4. Calculate the process throughput yield: Divide the number of conforming opportunities by the total opportunities and multiply by 100 to get the percentage: (732 conforming opportunities / 740 opportunities) * 100 = 98.9189%.
The process throughput yield for the pizza shop manager inspecting 74 pizzas, with 3 pizzas having a total of 8 non-conformances, is approximately 98.9189%. When rounded and reported to four (4) decimal places, the answer is 98.9189%.
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asap please
Triangle DEF has vertices at D(−3, 5), E(−10, 4), and F(−2, 2). Triangle D′E′F′ is the image of triangle DEF after a reflection. Determine the line of reflection if F′ is located at (2, 2).
x = 2
y = 1
y-axis
x-axis
Answer:
Step-by-step explanation:To determine the line of reflection, we need to find the equation of the line that is equidistant from each vertex of the original triangle and the corresponding vertex of the reflected triangle.
First, let's find the coordinates of the image of each vertex under the reflection. Since F' is given as (2, 2), we can reflect F across the unknown line of reflection to find the image of D and E. The line of reflection must be equidistant from each of these pairs of corresponding points.
To reflect F across a vertical line, the x-coordinate of F' must be the same as that of F but with the opposite sign. The x-coordinate of F is -2, so the x-coordinate of its image F' must be 2. Similarly, the y-coordinate of F' is 2, which means that the line of reflection must pass through the point (2, 2).
To reflect D across the same line, we can draw a perpendicular bisector between D and its image D', which must intersect the line of reflection at a right angle. The midpoint of DD' lies on the line of reflection, and it is equidistant from D and D'. Using the midpoint formula, we find the midpoint of DD' to be ((-3+2)/2, (5+2)/2) = (-0.5, 3.5). Since this point lies on the line of reflection, we can use the point-slope form of a line to find the equation of the line passing through (2, 2) and (-0.5, 3.5):
(y - 2) = m(x - 2) (where m is the slope of the line of reflection)
Simplifying:
y - 2 = m(x - 2)
y = mx - 2m + 2
To find the value of m, we can use the fact that the midpoint of DE lies on the line of reflection as well. The midpoint of DE is ((-3-10)/2, (5+4)/2) = (-6.5, 4.5). Substituting these values into the equation of the line, we get:
4.5 = m(-6.5) - 2m + 2
2.5 = -8.5m
m = -0.294
Therefore, the equation of the line of reflection is:
y = -0.294x + 2.588
This line is not the x-axis, y-axis or the line y=x. Therefore, the line of reflection is neither the x-axis nor the y-axis, and it is not the line y = x.
Answer:
X-axis
Step-by-step explanation:
I am in the middle of taking the quiz and this is the answer I think would be correct!
Let a be a root of some nonzero polynomial ao + a1x +... ·anx € F[x].Prove that a² is algebraic by finding a polynomial (coefficients should depend on a's) in F[x] that has a² as a root. Remark: This would be quite painful if instead of a2 we were given something like a5 - 3a² +1.
To prove that a² is algebraic, we need to find a polynomial in F[x] that has a² as a root. Let's start by considering the polynomial with coefficients depending on a's:
p(x) = (x - a²)
If we substitute x = a into this polynomial, we get:
p(a) = (a - a²) = a(1 - a)
Since a is a root of ao + a1x +... + anx^n, we know that:
ao + a1a +... + ana^n = 0
Multiplying both sides by a, we get:
a ao + a1a² +... + ana^{n+1} = 0
Substituting a(1 - a) for a², we get:
a ao + a1(a(1 - a)) +... + an(a(1 - a))^n = 0
Simplifying, we get:
a ao + a1a(1 - a) +... + ana^n(1 - a)^n = 0
Multiplying both sides by (1 - a)^n, we get:
a ao(1 - a)^n + a1a(1 - a)^{n+1} +... + ana^n(1 - a)^{2n} = 0
Now, let's group the terms by even powers of a and odd powers of a:
a^0(1 - a)^n ao + a^2(1 - a)^{n+1} a1 +... + a^{2n}(1 - a)^{2n} an = 0
This is a polynomial in F[x] with a² as a root. Therefore, we have proved that a² is algebraic.
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find the surface area 7 m 8.2 m
Answer: Surface Area = 7 m * 8.2 m = 57.4 m2
Step-by-step explanation:
Solve for x to make A||B. A 4x + 41 B 6x + 19 x = [ ? ]
Using the Alternate angles theorem, the value of x in the given diagram is 11
Alternate interior angles theorem: Calculating the value of xFrom the question, we are to calculate the value of x that will make A || B
From the Alternate angles theorem which states that when two parallel lines are cut by a transversal, then the resulting alternate interior angles or alternate exterior angles are congruent.
In the given diagram,
The angle measures (4x + 41) and (6x + 19) are alternate interior angle measures
Thus.
For A to be parallel to B (A || B)
4x + 41 = 6x + 19
Solve for x
4x + 41 = 6x + 19
41 - 19 = 6x - 4x
22 = 2x
Divide both sides by 2
22 / 2 = x
11 = x
x = 11
Hence,
The value of x is 11
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What is the surface area of the pyramid
(A) 38 cm2
(B) 76 cm2
(C) 100 cm2
(D) 152 cm2
Answer:
2(1/2)(4)(5.5) + 2(1/2)(5)(6) + 4(6) =
22 + 30 + 24 = 76 square centimeters
B is correct.
you are dealt one card from a standard 52-card deck. find the probability of being dealt an ace or a 8. group of answer choices
There are 4 aces and 4 nights in a standard 52-card deck. So, the total number of cards that can be considered as a successful outcome is 8. Therefore, the probability of being dealt an ace or an 8 is 8/52 or 2/13. To find the probability of being dealt an Ace or an 8, follow these steps:
1. Identify the total number of cards in the deck: There are 52 cards in a standard deck.
2. Determine the number of Aces and 8s in the deck: There are 4 Aces and 4 eights, totaling 8 cards (4 Aces + 4 eights).
3. Calculate the probability: Divide the number of desired outcomes (Aces and 8s) by the total number of cards in the deck.
Probability = (Number of Aces and 8s) / (Total number of cards)
Probability = 8 / 52
4. Simplify the fraction: 8/52 can be simplified to 2/13.
So, the probability of being dealt an Ace or an 8 from a standard 52-card deck is 2/13.
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slope = -1 y intercept = 8
M is the midpoint of PQ. the diameter of circle O is 13 in. and RM = 4 in. Find PM
The PM of the circle is 6 in.
How to find the PM of the circle?Since the diameter of the circle divide the circle into two equal parts. We can say:
PM = MQ
Applying the Intersecting Chord Theorem (When two chords intersect each other inside a circle, the products of their segments are equal). That is:
SM * RM = PM * MQ
SM * RM = PM²
SM = 13 - 4
SM = 9 in
RM = 4 in
Substituting:
SM * RM = PM²
9 * 4 = PM²
PM² = 36
PM = √36
PM = 6 in
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substitution algebra
Answer:
The method of substitution involves three steps:
Solve one equation for one of the variables.
Substitute (plug-in) this expression into the other equation and solve.
Resubstitute the value into the original equation to find the corresponding variable.
Step-by-step explanation:
The capital structure for the Carion Corporation is provided here. The company plans to maintain its debt structure in the future. If the firm has a 5.5 percent of debt, a 13.5 percent cost of preferred stock and an 18 percent cost of common stock, what is the firm's weighted average cost of capital?
CAPITAL STRUCTURE in thousand$
Bonds.............................$1,083
Preferred Stock................$268
Common Stock................$3,681
Total...............................$5032
The firm's weighted average cost of capital is 15.074%
To calculate the weighted average cost of capital (WACC), we need to follow these steps:
1. Determine the weight of each component of the capital structure (debt, preferred stock, and common stock) by dividing the value of each component by the total capital.
2. Multiply the weight of each component by its respective cost.
3. Sum the weighted costs to obtain the WACC.
Here's the step-by-step calculation:
1. Calculate the weights:
Debt weight = $1,083 / $5,032 = 0.215
Preferred stock weight = $268 / $5,032 = 0.053
Common stock weight = $3,681 / $5,032 = 0.732
2. Calculate the weighted costs:
Weighted cost of debt = 0.215 x 5.5% = 0.011825
Weighted cost of preferred stock = 0.053 x 13.5% = 0.007155
Weighted cost of common stock = 0.732 x 18% = 0.13176
3. Sum the weighted costs to find the WACC:
WACC = 0.011825 + 0.007155 + 0.13176 = 0.15074 or 15.074%
Therefore, we can state that the firm's weighted average cost of capital is 15.074%.
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Which expressions are equivalent to 1/3 - 2/5
Answer:
1/3+(-2/5) and 1/3+2/5
Step-by-step explanation:
Evaluate the integral by interpreting it in terms of areas. 4/−3 (1 − x) dx
Answer:
[tex] \frac{2}{3} square \: units[/tex]
describe a statistical advantage of using the stratified random sample over a simple random sample in the context of thgis study
The use of a stratified random sample over a simple random sample provides a statistical advantage in ensuring that the sample accurately represents the population. Stratified random sampling involves dividing the population into subgroups or strata based on certain characteristics, such as age or income.
This allows for a more representative sample as it ensures that each stratum is represented proportionally in the sample. In contrast, a simple random sample does not take into account any characteristics or strata of the population, which may result in an unrepresentative sample. Therefore, the use of a stratified random sample provides a statistical advantage by reducing the potential for sampling bias and increasing the accuracy of the study's results.
In the context of your study, a statistical advantage of using a stratified random sample over a simple random sample is that it ensures greater representation and accuracy in the results.
In a stratified random sample, the population is first divided into distinct subgroups or strata based on specific characteristics, such as age, gender, or income. Then, a simple random sample is taken from each stratum. This method helps to better represent each subgroup in the sample, which in turn improves the overall accuracy of the results.
On the other hand, a simple random sample involves selecting individuals from the entire population without considering any specific characteristics. This approach may not adequately represent certain subgroups, leading to potential biases and less accurate results. In summary, stratified random sampling provides a statistical advantage over simple random sampling by ensuring a better representation of subgroups, leading to more accurate and reliable results.
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find the measure of arc
Answer:
its D: 56Step-by-step explanation:
I knew this because i got this wright on my assignment
role-playing games like dungeons & dragons use many different types of dice, usually having either 4,6,8,10,12, or 20 sides. roll a balanced 8-sided die and a balanced 6-sided die and add the spots on the up-faces. call the sum X. what is the probability distribution of the random variable X?
We can check that the probabilities sum to 1:
P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X
The sum X of rolling an 8-sided die and a 6-sided die can take values from 2 to 14.
To find the probability distribution of X, we need to calculate the probability of each possible outcome.
For example, to get a sum of 2, we must roll a 1 on the 8-sided die and a 1 on the 6-sided die. The probability of rolling a 1 on an 8-sided die is 1/8, and the probability of rolling a 1 on a 6-sided die is 1/6. Therefore, the probability of getting a sum of 2 is:
P(X=2) = (1/8) * (1/6) = 1/48
Similarly, we can calculate the probabilities for all possible values of X:
P(X=3) = (1/8) * (2/6) + (2/8) * (1/6) = 1/16
P(X=4) = (1/8) * (3/6) + (2/8) * (2/6) + (3/8) * (1/6) = 1/8
P(X=5) = (1/8) * (4/6) + (2/8) * (3/6) + (3/8) * (2/6) + (4/8) * (1/6) = 5/32
P(X=6) = (1/8) * (5/6) + (2/8) * (4/6) + (3/8) * (3/6) + (4/8) * (2/6) + (5/8) * (1/6) = 11/32
P(X=7) = (1/8) * (6/6) + (2/8) * (5/6) + (3/8) * (4/6) + (4/8) * (3/6) + (5/8) * (2/6) + (6/8) * (1/6) = 21/32
P(X=8) = (2/8) * (6/6) + (3/8) * (5/6) + (4/8) * (4/6) + (5/8) * (3/6) + (6/8) * (2/6) = 25/32
P(X=9) = (3/8) * (6/6) + (4/8) * (5/6) + (5/8) * (4/6) + (6/8) * (3/6) = 19/32
P(X=10) = (4/8) * (6/6) + (5/8) * (5/6) + (6/8) * (4/6) = 13/32
P(X=11) = (5/8) * (6/6) + (6/8) * (5/6) = 11/32
P(X=12) = (6/8) * (6/6) = 3/8
P(X=13) = 0
P(X=14) = 0
We can check that the probabilities sum to 1:
P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7) + P(X
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‼️WILL MARK BRAINLIEST‼️
The probabilities are given as follows:
a. P(number greater than 10) = 1/6.
b. P(number less than 5) = 1/3.
c. The solid is fair, as each side of the dice has the same probability of coming up.
How to calculate a probability?A probability is calculated as the division of the desired number of outcomes by the total number of outcomes in the context of a problem/experiment.
The total number of outcomes for this problem is given as follows:
12.
2 of the numbers are greater than 10, which are 11 and 12, hence the probability is given as follows:
p = 2/12
p = 1/6.
4 of the numbers, which are 1, 2, 3 and 4, are less than 5, hence the probability is given as follows:
p = 4/12
p = 1/3.
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Other than one what are the perfect square factors of 792
So the perfect square factors of 792 are 4, 9, 36, 144, 484, and 1089.
The prime factorization of 792 by dividing it by its smallest prime factor repeatedly:
792 ÷ 2 = 396
396 ÷ 2 = 198
198 ÷ 2 = 99
99 ÷ 3 = 33
33 ÷ 3 = 11
So the prime factorization of 792 is [tex]2^3 * 3^2 * 11.[/tex]
To find the perfect square factors, we can look for pairs of factors where both factors have even exponents.
The factors of 792 are: 1, 2, 3, 4, 6, 8, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 132, 198, 264, 396, and 792.
The perfect square factors of 792 are:
[tex]2^2 = 4\\2^2 * 3^2 = 36\\2^2 * 11^2 = 484\\3^2 = 93^2 * 4^2 = 144\\3^2 * 11^2 = 1089[/tex]
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Which is 0. 54 converted to a simplified fraction?
For a decimal number 0.54, the converted fraction from this decimal number is written as [tex]\frac{ 54}{100} [/tex]. After simplification, the required fraction is equals to the [tex]\frac{ 27}{50} [/tex].
A fraction is defined as a part of whole. It is expressed as a quotient, where the numerator is divided by the denominator. To convert a decimal to a fraction, first we place the decimal number over its place value. For example, in 0.4, the 4 is in the tenths place, so we place 4over 10 to create the equivalent fraction, 4/10. We can simplify this fraction. To write the decimal fraction in fraction form of the digits to the right of the decimal period (numerator) and a power of 10 (denominator).
We have a decimal number, 0.54. We convert it in a simplified fraction form. As we see decimal is placed on hundredth place. So, the required fraction is 54 over 100 or we can write [tex]\frac{ 54}{100} [/tex]. Simplify this fraction, dividing the denominator and numentor by 2 then, [tex]\frac{27}{50} [/tex]. Hence, required value is [tex]\frac{27}{50} [/tex].
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PLEASEE HELP MEEEEEE
The total surface area of the square pyramid is 585 in²
How to solve an equation?An equation is an expression that can be used to show the relationship between two or more numbers and variables using mathematical operators.
The area of a figure is the amount of space it occupies in its two dimensional state.
To get the surface area:
Area of base = 15 in * 15 in = 225 in²
Area of one triangle lateral face = (1/2) * 15 in * 12 in = 90 in²
Area of four triangle lateral face = 4 * 90 in² = 360 in²
Total surface area = 225 in² + 360 in² = 585 in²
The total surface area is 585 in²
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Explain why the graph is misleading
For all three points say the reason and explain what specifically is going on in the graph
The graph is misleading because the y values do not start from the origin
Explaining why the graph is misleadingThe graph represents the given parameter where
The x-axis represent the yearThe y-axis represent the sales per yearExamining the lengths of the bars with the values, we can see that
The y values do not start from the origin
This is because difference between the bars do not show the correct representation
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Please answer this question for a quick 100 points
The weight of the candle after 5 hours of burning would be about 15.05 ounces.
If the burn rate is believed to be constant, we need to determine the average burn rate for the eight candles as the ratio of weight loss per hour.
Ounces lost over three hours =
0.5+0.6+0.5+0.7+0.7+0.5+0.5+0.6 = 4.6/8 = 0.575
Ounces lost per hour on average =
= 0.19
For 0 hours, the weight of each candle is 16 ounces.
Therefore, the equation can be =
w = 16 - 0.19h.
This model can be used to predict the weight of the candle when h, the number of hours of burning, is 5.
W = 16 - 0.19(5)
W = 16 - 0.95
W = 15.05
Hence the weight of the candle after 5 hours of burning would be about 15.05 ounces.
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Given the expression: 10x2 + 28x − 6
Part A: What is the greatest common factor? Explain how to find it. (3 points)
Part B: Factor the expression completely. Show all necessary steps. (5 points)
Part C: Check your factoring from Part B by multiplying. Show all necessary steps. (2 points)
The greatest common factor of the given expression is 2.
The expression can be factored as (5x - 1)(x + 3).
Part A :
Given expression is 10x² + 28x - 6.
Greatest common factor of the expression is the greatest of all the common factors.
It is 2.
Therefore, the greatest common factor is 2.
Part B :
10x² + 28x - 6
5x² + 14x - 3
This can be factored as,
(5x - 1)(x + 3)
Part C :
(5x - 1)(x + 3) = (5x)(x) - (x) + (3)(5x) - 3
= 5x² + 14x - 3
Hence the GCF is 2.
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Can someone please help me
If the volume of the hemisphere of the lime below is 6 cm3, what is the volume of the whole lime?
Volume of lime = ___ cm3
The volume of the whole lime represented by a sphere is given by 12 cubic centimeters.
Volume of the lime in hemispherical shape is equal to
= 6 cubic centimeters
Let us consider 'r' be the radius of the sphere.
Volume of hemisphere = ( 2/3 ) πr³
Volume of a sphere = ( 4 /3) πr³
Relation between volume of hemisphere and volume of a whole lime sphere
Volume of a whole lime sphere = 2 times of volume of hemisphere
⇒Volume of a whole lime sphere = 2 × 6
⇒Volume of a whole lime sphere = 12 cubic centimeters.
Therefore, the volume of the whole lime is equal to 12 cubic centimeters.
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(Middle school work)
With regard to the clindrical designs, note that is advisable for Kevin to opt for the first design which requires about 108.35 square inches of plastic. The second design requires about 431.97 square so Kevin does not have enough plastic to make the second design.
How did we arrive at this?Here we used the surface area formula for cylinders.
Surface Area = 2πr² + 2πrh
R is the base and h is the height.
For First Design we have
Diameter (d) = 2r = 3
so r = 1.5
So Surface Area = 2π(1.5)² + 2π(1.5) (10)
SA First Cylinder = 108.35
Repeating the same step for the second cylinder we have:
SA 2ndCylinder = 431.97
Thus, the conclusion we have above is the correct one because:
108.35in² < 205in² > 431.97in²
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Let and g be continuous functions on [0, 1], and suppose that f(0) <90) and (1) > g(1). Show that there is some c∈(0.1) such that f(c) = g(e).
We have shown that there exists some c in (0, 1) such that f(c) = g(c).
By the intermediate value theorem, since f and g are continuous on [0, 1], and f(0) < g(1), there exists some a in the interval [0, 1] such that f(a) = g(1).
Similarly, since f and g are continuous on [0, 1] and f(1) > g(1), there exists some b in the interval [0, 1] such that f(1) > g(b).
Now, consider the function h(x) = f(x) - g(x). Then h is continuous on [0, 1], and h(0) < 0 and h(1) > 0.
By the intermediate value theorem again, there exists some c in the interval (0, 1) such that h(c) = 0, which means that f(c) - g(c) = 0, or f(c) = g(c). Thus, we have shown that there exists some c in (0, 1) such that f(c) = g(c).
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Question 2 0/1 pt 100 99 Suppose y = anx" on an open interval I that contains the origin. Express the following as a simplified power series in 2 on I. n=0 (5+ – 4x)y" + (2x)y' + 3y M8 an +2 + 10 an +1 + an."
The expression can be expressed as a simplified power series in 2 on interval I as:
n=0 2^n*t^n [an+2 + 10an+1 + an]
To express the given expression as a simplified power series in 2 on interval I, we need to find the derivatives of y and substitute them into the expression.
First, we find the derivatives of y:
y' = an(nx^(n-1)) = nanx^(n-1)
y" = nan(n-1)x^(n-2)
Substituting y', y", and y into the given expression, we get:
(5 - 4x)(nan(n-1)x^(n-2)) + (2x)(nanx^(n-1)) + 3(anx^n)
= 5nan(n-1)x^n - 4nan(n-1)x^(n+1) + 2nanx^(n+1) + 3anx^n
Now we can express this as a power series in 2 by substituting x = 2t:
= 5nan(n-1)(2t)^n - 4nan(n-1)(2t)^(n+1) + 2nan(2t)^(n+1) + 3an(2t)^n
= 5nan(n-1)2^n*t^n - 8nan(n-1)2^(n+1)t^(n+1) + 2nan2^(n+1)t^(n+1) + 3an2^n*t^n
= 2^n*t^n [5nan(n-1) - 8nan(n-1)2t + 2nan(2t) + 3an]
= 2^n*t^n [an+2 + 10an+1 + an]
Therefore, the given expression can be expressed as a simplified power series in 2 on interval I as:
n=0 2^n*t^n [an+2 + 10an+1 + an]
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I need help its literally due today. And i dont know how to do my brothers homework. Please help.
9. Look at the graph below. If the object is rotated 180° about the z-axis, the coordinates for
Point A (-1, 2, 2) will be
1
The image of the point after it is rotated 180° about the z-axis is A' = (1, -2, -2)
Calculating the image of the point after the rotationFrom the question, we have the following parameters that can be used in our computation:
Point A = (-1, 2, 2)
The rule of rotation is given as rotated 180° about the z-axis
Mathematically, this rule can be expressed as
(x, y, z) = (-x, -y, -z)
Substitute the known values in the above equation, so, we have the following representation
A' = (1, -2, -2)
Hence. the image of the point after the rotation is A' = (1, -2, -2)
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Which equation represents the length of the completed tunnel based on the number of days since TBM was introduced?
Answer: Y = 45x + 140
Step-by-step explanation:
which equation represents the length of the completed tunnel based on the number of days since tbm was introduced? the answer is y = 45x + 140
