By using the exponent power rule \((a^n)^m = a^n^m\) is \(16w^1^6v^1^2\)
Given,
In the question:
Simplify the:
\((-2w^4 v^3)^4\)
To solve the above expression;
Now, According to the question:
\((-2w^4 v^3)^4\)
Determine the sign for exponential or radical expression:
\((2w^4 v^3)^4\)
Simplify using exponent rule with same exponent \((ab)^n = a^n.b^n\)
\(2^4 .(w^4)^4(v^3)^4\)
Calculate the power :
\(16(w^4)^4(v^3)^4\)
Simplify using exponent power rule \((a^n)^m = a^n^m\)
\(16w^1^6v^1^2\)
Hence, By using the exponent power rule \((a^n)^m = a^n^m\) is \(16w^1^6v^1^2\)
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PLEASE I NEED HELP!!!
Answer:
The answer is A i think
Correct me if im wrong UwU
Step-by-step explanation:
Answer:
Your answer will be A or the first one b/c there are no letters
Step-by-step explanation:
:)
DUE TODAY PLEASE HELP WELL WRITTEN ANSWERS ONLY!!!!
Answer:
\(r = \sqrt{ {(6 - 2)}^{2} + {(1 - ( - 3))}^{2} } \)
\(r = \sqrt{ {4}^{2} + {4}^{2} } = \sqrt{16 + 16} = \sqrt{32} \)
So the equation of the circle is
\( {(x - 2)}^{2} + {(y + 3)}^{2} = 32\)
It is important to understand how probability works in statistics because ______.
Probability are important information when applying descriptive statistics. Probability is the branch of mathematics concerning numerical descriptions. the correct option is (B).
What is probability?Descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. The higher the probability of an event, the more likely it is that the event will occur.
here, we have,
A simple example is the tossing of a fair (unbiased) coin. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes. The probability formula can be expressed as,
Probability formula:
P(A) = Probability(Event) = Favorable Outcomes/Total Outcomes
P(A) = x/n
where,
P(B) is the probability of an event 'B'.
n(B) is the number of favorable outcomes of an event 'B'.
n(S) is the total number of events occurring in a sample space
Descriptive statistics are brief informational coefficients that summarize a given data set, which can be either a representation of the entire population or a sample of a population. Descriptive statistics are broken down into measures of central tendency and measures of variability (spread). Measures of central tendency include the mean, median, and mode, while measures of variability include standard deviation, variance, minimum and maximum variables, kurtosis, and skewness.
The main purpose of descriptive statistics is to provide information about a data set. In the example above, there are hundreds of baseballs players that engage in thousands of games. Descriptive statistics summarizes the large amount of data into several useful bits of information.
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use long or synthetic division to find the following quotients (w^3-2w^2-2w+1)÷(w-1)
The given polynimial exression is
(w^3-2w^2-2w+1)÷(w-1)
We wuld apply the long division method as shown below
The first step is todivide w^3 by w to give us w^2. w^2 is used to multiply w + 1 to give us w^3 + w^2 and this is subtracted from w^3 - 2w^2. The process continues until we cannot divide further. Thus, from the daigram above, the solution is
w^2 - 3w + 1
you need to paint office 143. if one gallon of paint covers 50 sf, how many gallons of pant will you need?
To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.
Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.
Let's assume the square footage of office 143 is 800 square feet.
Number of gallons needed = Square footage / Coverage rate per gallon
Number of gallons needed = 800 square feet / 50 square feet per gallon
Number of gallons needed = 16 gallons
Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.
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The triangles below are similar.
Triangle S R P. Angle S is 54 degrees, R is 41 degrees, P is 85 degrees. Triangle X Y Z. Angle X is 54 degrees, Z is 41 degrees, and Y is 85 degrees.
Which similarity statements describe the relationship between the two triangles? Check all that apply.
Triangle P R S is similar to triangle X Y Z
Triangle R S P is similar to triangle Z X Y
Triangle S R P is similar to triangle X Z Y
Triangle P S R is similar to Triangle Z Y X
Triangle R P S is similar to triangle Z Y X
Triangle S P R is similar to triangle X Z Y
Answer:
Triangle RSP is similar to triangle ZXY
Step-by-step explanation:
to be similar triangles the order of the angles must match.
Angle R is 41° so is angle Z
angle S is 54° so is angle X
angle P is 85° so is angle Y
A loaded truck travels 14 km in 25 minutes. If the speed
remains the same, how far can it travel in 5 hours?
Answer:
Given that truck covers 14km in 25 minutes. Answer: In 5 hours distance travelled = 5(60)(14)/25 = 168 km.
Step-by-step explanation:
brainliest?
a rectangular box with a square base is made from 216 ft2 of material. which dimensions will result in a box with the largest possible volume?
height = 14.5 ft and width = length = 3.2 ft in a box with the largest possible volume
Let the side of the square base is a and the height of the box is h.
The material required to make the box is equal to the total surface area of the box.
Area of base = a²
Cost of square base is $ 2 per ft²
So, the cost of making base = 2a²
Area of four walls + area of top = 2 (a² + ah + ah) + a² = 3a² + 2ah
Cost of making walls and the top is $ 1 per ft²
So, the cost of making walls and the top = 1 x ( 3a² + 2ah)
Total cost of making the box = 2a² + 3a² + 2ah = 5a² + 2ah
According to the question
144 = 5a² + 2ah
.... (1)
The volume of the box is V = length x width x height
V = a x a x h
V = 72 a - 2.5 a³ from equation (1)
Differentiate both sides with respect to a.
dV/da = 72 - 7.5 a²
Put, it equal to zero for maxima and minima
7.5 a² = 72
a = 3.2 ft
Put in equation (1)
h = 14.5 ft
So, the dimensions of the box are
height = 14.5 ft
width = length = 3.2 ft
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3. What is the perimeter of VPQR? Show your work. (Giving Brainliest)!
Answer:
13 (i think)
Step-by-step explanation:
Answer:
P = 17
Step-by-step explanation:
3y – 2 = y + 4
3y -2 (+2) = y + 4 (+2)
3y = y + 6
3y (-y) = y (-y) + 6
2y = 6
2y / 2 = 6 / 2
Y = 3
PR = 3y – 2
PR = 3(3) – 2
PR = 9 – 2
PR = 7
P of PQR = 4 + 6 + 7
P of PQR = 17
how many whole numbers lie between
\( \sqrt{8} \: and \: \sqrt{80} \)
Laura has 30 cupcakes she wants to give each friend 1/6 of her cupcakes how many cupcakes will Each friend get
Answer:
5 cupcakes
Step-by-step explanation:
=1x 30/ 6
=5
I hope it helps
Thank U
Answer:
No Of cup cakes laura has : 30
No of c Cupcakes She wants to give her friends:1/6
Cupcakes each friend got : 30 × 1/6
: 5
There fore Number of cupcakes each friend gets: 5 Cupcakes
45.72+3.8
what is the answer
Thomas receives an additional 10% discount on all merchandise at the store where he works. He is buying $430 flat-screen tv that is on sale at 33% off. Find Thomas's price for the flat screen tv
The selling price for the flat-screen TV for Thomas is $245.1. Here the total percentage of discount for him is 43%.
How to calculate the selling price with a percentage of discount?The formula for finding the selling price with a percentage of discount is
Selling price = Original price - original price × discount (in decimal)
Calculation:It is given that,
Thomas receives a discount for flat screen tv on a sale = 33%
He also receives an additional discount on all merchandise at the store where he works = 10%
The original price of the TV is $430.
So, the total discount percentage = 33% + 10% = 43% = 0.43 (in decimal)
Then, the selling price of the tv for him is,
Selling price = Original price - original price × discount (in decimal)
= $430 - $430 × 0.43
= $430 - $184.9
= $245.1
Therefore, Thomas's selling price for the flat-screen tv is $245.1.
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calculate the value of x and y
Answer:
X+70=180
X=180-70
X=110
X= 2y
110=2y
y=110/2
y=55#
Step-by-step explanation:
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A golf ball is hit from the ground with an initial speed of 192 feet per second. assume the starting height of the ball is 0 feet. how long will it take the golf ball to hit the ground?
It will take the golf ball 12 seconds to hit the ground using the kinematic equation for vertical motion.
To determine the time it takes for the golf ball to hit the ground, we can use the kinematic equation for vertical motion:
\(h = ut + (1/2)gt^2\)
Where:
h is the height (0 feet, as the ball is on the ground)
u is the initial velocity (192 feet per second)
g is the acceleration due to gravity (-32 feet per second squared, considering downward direction)
t is the time we want to find
Plugging in the given values, we get:
\(0 = (192)t + (1/2)(-32)t^2\)
Simplifying the equation, we have:
\(-16t^2 + 192t = 0\)
Factoring out t, we get:
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
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The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
The time it takes for the golf ball to hit the ground can be determined using the equation of motion. We can use the formula:
h0 = 0
v0 = 192
g = 32.2
a = 16.1
b = 192
t1 = 0
t2 = -b / a
t(-16t + 192) = 0
Setting each factor equal to zero, we have:
t = 0 (not applicable in this case)
-16t + 192 = 0
Solving for t, we get:
-16t = -192
t = 12
t2 >= 0:
time_to_hit_ground = t2
time_to_hit_ground = t1
The time it takes for the golf ball to hit the ground is approximately", round(time_to_hit_ground, 2 seconds.
The time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
Since time cannot be negative in this context, we discard the negative solution. Therefore, the time it takes for the golf ball to hit the ground is approximately 11.92 seconds.
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Mr Sharma packed 42 kg of tea into one big bag and 6 small ones each of the same size the big bag contained 3/7 of the tea how many kg of tea did each small bag contain
Answer:
4kg
Step-by-step explanation:
Mr Sharma packed 42 kg of tea into one big bag and sox small bags each of the same size
The first step is to calculate the quantity in the big bag
= 3/7 × 42
= 3×6
= 18
The amount left in the remaining bags is
= 42-18
= 24
Therefore the kg of tea in the small bags can be calculated as follows
= 24/6
= 4
Hence there are 4kg of tea in the small bags
Please help!! Will mark brainlyest.
Answer
B
Step-by-step explanation
Please give me brainlist.
Determine if b is a linear combination of a1, a2, and a3.
a1, a2, and a3 are matrices.
a1 = (1 −2 0)
a2 = (0 1 2)
a3 = (5 −6 8)
b = (2 −1 6)
The vector equation for the given matrices is;b = 2(1,-2,0) + (-1)(0,1,2) + 6(5,-6,8)b = (2-0-30, -4-1+36, 0-2+48)b = (-28, 31, 46)
Yes, b is a linear combination of a1, a2, and a3. The reason behind this statement is explained below.What is a linear combination?A linear combination is a sum of a group of scalars, each multiplied by a single matrix or a single vector. These coefficients are scalar multiples of the vectors in the vector space.Linear Combination of MatricesIt is defined as a scalar multiplication and addition of matrices, with the combination of the coefficients from the given equation or formula. For example, if A and B are matrices with dimensions m×n and p×q, then the linear combination is given as;ax + by, where a and b are coefficients and x and y are the matrices. Let's discuss the given matrices: a1 = (1 -2 0), a2 = (0 1 2), and a3 = (5 -6 8), and b = (2 -1 6)Step-by-step explanationThe linear combination of the given matrices can be represented by the equation below;b = c1*a1 + c2*a2 + c3*a3, where c1, c2, and c3 are the coefficients that will be multiplied by the corresponding matrices.The vector equation for the given matrices is;b = 2(1,-2,0) + (-1)(0,1,2) + 6(5,-6,8)b = (2-0-30, -4-1+36, 0-2+48)b = (-28, 31, 46)Since we have arrived at the vector b using a linear combination of a1, a2, and a3, we can conclude that b is a linear combination of a1, a2, and a3.
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Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. stacy spins the pointer 120 times and records the results. the pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6. how does the theoretical probability compare with the experimental probability of landing on an even number? use the drop-down menus to explain your answer.
The theoretical probability of winning = 33.3% and the experimental probability of winning = 25%
The theoretical probability of winning is greater.
Here, a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 used to play a game.
We can observe that the number of outcome of 2 on the Spinner = 2
And the total number of sections = 6
Since a winning spin is a 2, the theoretical probability of winning would be,
P₁ = 2/6
P₁ = 1/3
P₁ = 33.3%
In the experimental trial:
the total number of trials = 120
And the pointer lands 30 times on a section numbered 2,
i.e., the number of Outcome of 2 = 30
so, the experimental probability of winning would be:
P₂ = 30/120
P₂ = 1/4
P₂ = 25%
Since P₁ > P₂, the theoretical probability of winning is greater.
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Which of the following is NOT one of the things the relative frequency of z-scores allows us to calculate for corresponding raw scores?
A. Expected relative frequency
B. Expected simple frequency
C. Percentile rank
D. Values in terms of goodness or badness
The p-value is established and hypotheses are accepted or rejected based on these results, the result is significant.
The general recurrence of z-scores empowers us to decide a few things in regards to the comparing crude scores, except for deciding qualities concerning goodness or disagreeableness. The number of standard deviations a given data point has from the population mean is measured using Z-scores. In statistics, particularly normal distribution, these are frequently used to normalize data and evaluate a data point's position for improved data analysis. One of the purposes of the general recurrence of z-scores is that it permits us to work out the likelihood of an occasion happening in a standard typical conveyance.
Using mathematical software or a standard normal table, the probability distribution for z-scores can be found and used to calculate the probabilities of occurrences below, above, or between two z-scores. The general recurrence of z-scores is additionally utilized in deciding whether a noticed contrast is impressive and measurably critical. By determining whether the difference is significant if the corresponding z-score falls outside the range of 1.96, this can be accomplished. Since the p-value is established and hypotheses are accepted or rejected based on these results, the result is significant.
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what is the cosine form of the function 10sin(wt 40)
The cosine form of the function 10sin(wt - 40) is 10cos(wt - 50).
The cosine form of the function 10sin(wt - 40) can be found using the identity sin(x - y) = sin(x)cos(y) - cos(x)sin(y).
By applying this identity to the given function, we can rewrite it in terms of cosine.
10sin(wt - 40) = 10(sin(wt)cos(40) - cos(wt)sin(40))
Now, we can use the fact that cos(90 - x) = sin(x) and sin(90 - x) = cos(x) to further simplify the expression.
10(sin(wt)cos(40) - cos(wt)sin(40)) = 10(sin(wt)sin(50) + cos(wt)cos(50))
Finally, we can use the identity cos(x + y) = cos(x)cos(y) - sin(x)sin(y) to rewrite the expression in terms of cosine.
10(sin(wt)sin(50) + cos(wt)cos(50)) = 10cos(wt - 50)
Therefore, the cosine form of the function 10sin(wt - 40) is 10cos(wt - 50).
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HEY CAN ANYONE PLS ANSWER DIS MATH QUESTION RQ!!!!!!
Answer: 6 i thank
Step-by-step explanation:
So three quarters is 1/3. So 1/3 of 18 is 6.
And the average size of an Gecko is 18in
And a Iguanas is 1/3 that of an Gecko
Hopefully that helps
The equation below describes a proportional relationship between x and y. What is the constant of proportionality? y = 2/9x
====================================================
Explanation:
The equation y = (2/9)x is in the form y = kx
In this case, k = 2/9.
The value of k is the constant of proportionality.
All direct proportion equations are in the form y = kx. Their graphs go through the origin. The slope of the line is the same as the constant of proportionality.
Which of the following expressions is equivalent to –6?
A.
3-(-2)-(-1)
B.
9-(-17)
C.
4-16 divided by -2
D.
-2(4-1)
Answer:
the correct answer po is letter A
Step-by-step explanation:
Tinatamad akong mag explain pero tama po 'yan
What is a mathematical quantity having both direction and magnitude?
A mathematical quantity having both direction and magnitude is called a vector.
A vector is a mathematical quantity that has both direction and magnitude. It is often represented graphically as an arrow, where the length of the arrow corresponds to the magnitude of the vector, and the direction of the arrow represents the direction of the vector.
Vectors are used in many areas of mathematics and science, including physics, engineering, and computer science. Some common operations performed on vectors include addition, subtraction, dot product, and cross product.
Vectors can also be expressed in various coordinate systems, such as Cartesian, polar, and spherical coordinates, depending on the context and application.
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In hypothesis testing, the statement for which the investigator seeks to obtain evidence is A. the -value B. either the null or the null hypothesis C. the null hypothesis
"B. either the null or the alternative hypothesis."
The statement sought for evidence in hypothesis testing is: null or alternative hypothesis. The answer to the question is "B. either the null or the alternative hypothesis." In hypothesis testing, the null hypothesis is a statement that assumes there is no significant difference between the groups being compared or that the effect being investigated does not exist. The alternative hypothesis, on the other hand, is a statement that assumes there is a significant difference between the groups or that the effect being investigated does exist. The investigator seeks to obtain evidence in support of the alternative hypothesis, as this would indicate that there is a real effect or difference. The null hypothesis and the alternative hypothesis are two complementary statements that are used to frame a hypothesis test. The null hypothesis is typically the default assumption, and it is tested against the alternative hypothesis to determine whether there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis. The evidence obtained is typically in the form of a test statistic and a p-value, which represents the probability of obtaining the observed test statistic under the null hypothesis. If the p-value is less than the chosen level of significance (usually 0.05), the null hypothesis is rejected in favor of the alternative hypothesis. Therefore, the statement for which the investigator seeks to obtain evidence is the alternative hypothesis, as this would provide support for the hypothesis being investigated.Learn more about "hypothesis".
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what is true of the function g (x) = -2x^2 +5
Answer:
The domain of g(x) is the same as the domain of the parent function.
The range is the same as the range of the parent function.
The function g(x) increases over the same x-values as the parent function.
The function g(x) decreases over the same x-values as the parent function.
Answer: C, the variable x represents the independent variable
? I will give brainlist
Answer:
x=14
Step-by-step explanation:
Hope This Helps <3
Answer:
D is the correct answer if that's what you're asking
Step-by-step explanation:
\( \frac{14}{2} = 7\)
14 ÷ 7 = 2
Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)
Component 3 must be started on day 197 to meet the delivery date of day 200.
To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.
(a) Backward schedule:
Operation | Work Center | Time (hours) | Start Day
--------------------------------------------------------
Final Assembly | Work Center 1 | 1 | 200
Sub-assembly 1 | Work Center 2 | 2 | 199
Component 4 | Work Center 3 | 3 | 197
Component 2 | Work Center 4 | 4 | 196
Component 3 | Work Center 5 | 3 | ????
(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.
From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.
Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.
Hence, component 3 must be started on day 197 to meet the delivery date of day 200.
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what is 1/8 as a decimal and percent
Answer:
0.125 and 12.5%
Step-by-step explanation: