If x, y, z, are integers such that 2^x*3^y*7*z=329, Then what is x, y, and z? PLZZZZ HELP THANK YOU
Answer:
\(\boxed{\sf \ \ \ 2^0*3^0*7*47=329 \ \ }\)
Step-by-step explanation:
hello,
let's try to divide by 7 329 it comes
329 = 47 * 7
and 329 is not divisible by 2 or 3 so
the solution is
x = 0
y = 0
z = 47
\(2^0*3^0*7*47=329\)
hope this helps
If a rectangle has a length that is three times the width increased by 4. Find the dimensions of both the length and width if the
perimeter of the rectangle is 80 centimeters
Answer:
Step-by-step explanation:
Formula
The formula for perimeter is
P = 2L + 2w
Givens
Let the width = w
Length = 3w + 4
P = 80 cm
Solution
P = 2L + 2w
80 = 2(3w + 4) + 2w Remove the brackets
80 = 6w + 8 + 2w Combine
80 = 8w + 8 Subtract 8 from both sides
80-8 = 8w + 8-8 Combine
72 = 8w Divide both sides by 8
72/8 = 8w'8
9 = w
Answer
w = 9
L = 3*w + 4
L = 3*9 + 4
L = 31
pleaseeeeeeeeee help
Answer:
The third answer
Step-by-step explanation:
If your brother borrows $835 at 10% interest rate for eleven years, how much interest will he pay?
For this case, your interest rate will be (. 11 x 100 = 11) 11%. Step 3: Apart from this, you can also calculate your time period involved, principal amount and interest amount paid in a specific time period if you have other inputs available with you. Calculate interest amount paid in a specific time period, I = Prt
Answer:
918.50 in interest over 11 years.
Step-by-step explanation:
Comment
You have to make an assumption here. The assumption is that this is simple interest.
So if the brother pays 10% each year, he is paying
10/100 * 835 each year in interest
10/100 * 835 = 83.50 every year.
There are 11 years, so the total interest paid is 11 * 83.50 = 918.50 dollars in total.. That's more than what he borrowed!
46 inches = 3 ft 10 inches? is it true please give me an explanation
Answer: yes
Step-by-step explanation:
1 ft = 12 in so 3ft = 36 in
36in + 10in = 46in
(6x10^7) divided by (2x10^3) give your answer in standard form
Answer:
In the end, the answer is: 30,000
Step-by-step explanation:
\(\frac{60,000,000}{2,000} = 30,000\)when comparing two sample means, we can safely reject the null hypothesis if ______.
When comparing two sample means, we can safely reject the null hypothesis if the calculated test statistic exceeds the critical value corresponding to the chosen significance level.
In hypothesis testing, when comparing two sample means, we typically perform a t-test or z-test depending on the characteristics of the data and assumptions. The null hypothesis assumes that there is no significant difference between the means of the two samples.
To determine whether we can reject the null hypothesis and conclude that there is a significant difference, we calculate a test statistic. The specific test statistic (t or z) depends on factors such as sample size and whether population parameters are known.
Next, we compare the calculated test statistic to the critical value. The critical value is determined based on the chosen significance level (commonly denoted as α). If the calculated test statistic exceeds the critical value, we reject the null hypothesis, indicating that there is evidence to support a significant difference between the two sample means.
The significance level determines the threshold for rejecting the null hypothesis and is typically set at 0.05 (5%) or lower, depending on the desired level of confidence.
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Explain why N (1.9) is a normal subgroup in U(16). Find costs of N in U(16). Determine which keown group is isomorphic to the factor group (16)/N. Justify
Show that U(17) is a cyelle group. Find all generators of the cyclic group U(17). U(17): [1.3.5.6
Explain why N = {1,9) is a normal subgroup in U(16). Find cosets of N in U(16). Determine which known group is isomorphic to the factor group U(16)/N. Justify. U (16) = {
The subgroup N = {1, 9} is a normal subgroup in U(16) because it is closed under the group operation and conjugation by any element of U(16). The factor group U(16)/N is isomorphic to the Klein four-group, V4.
To show that N = {1, 9} is a normal subgroup in U(16), we need to demonstrate that it is closed under the group operation and that conjugation by any element of U(16) leaves N invariant. In this case, U(16) represents the group of units modulo 16, which consists of the positive integers less than 16 that are coprime to 16.
First, let's verify closure under the group operation. The elements 1 and 9 are both coprime to 16 and satisfy the condition gcd(a, 16) = 1, where a is an element of U(16). Multiplication of 1 and 9 will yield another element in U(16) that is coprime to 16, so closure is satisfied.
Next, we need to show that N is invariant under conjugation by any element of U(16). Let x be an element of U(16), and let n be an element of N. We want to prove that xnx^(-1) is also an element of N. Since the operation in U(16) is multiplication modulo 16, we have:
xnx^(-1) ≡ n (mod 16)
The subgroup N = {1, 9} is a normal subgroup in U(16) because it satisfies closure under the group operation and conjugation by any element of U(16). The factor group U(16)/N is isomorphic to the Klein four-group, V4, which consists of the cosets {N, 3N, 5N, 7N}.
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Simplify the expression 3x -7x -4
Answer:
-4 + -4x
Step-by-step explanation:
Simplifying
3x + -7x + -4
Reorder the terms:
-4 + 3x + -7x
Combine like terms: 3x + -7x = -4x
-4 + -4x
Answer:
The simplified equation would be -4x - 4
Step-by-step explanation:
1. Combine the like terms. So it would be -4x-4 because 3-7=-4.
Determine the truth value of each conditional statement. If true, explain your reasoning. If false, give a counterexample.If two angles are congruent, then they are vertical angles.
The truth value of the conditional statement is false, and the counterexample of this statement is corresponding angles
How to determine the truth value of the conditional statement?The conditional statement is given as:
If two angles are congruent, then they are vertical angles.
The above statement is false because not all congruent angles are vertical angles
A counterexample of this statement is a corresponding angle
i.e. corresponding angles are congruent angles, but they are not vertical angles
Hence, the truth value of the conditional statement is false, and the counterexample of this statement is a corresponding angle
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can anyone answer this with expanation?
18. ∆PQR =~ ∆RPA ( by SAS )
19. ∆DQR =~ ∆PQR ( by AAS )
20. ∆ARO =~ ∆PQO ( by AAS )
3. Determine whether the following statements are True or False. (i) {1,2}
⊂{1,2}; (ii) ∅⊆P({1,2}); (iii) ∅∈P({1,2}); (iv) ∅ΦP({1,2}); (v) ∅∈{{∅}}; (vi) ∅⊈{∅,1,2}; (vii) {∅}∈P({1,2});
I. The statement of this expression {1,2⊂{1,2} is False.
Ii. The statement of this expression ∅⊆P({1,2}) is True
III. The statement of this expression ∅∈P({1,2}) is False.
The statements of the following expressions (iv) ∅ΦP({1,2}); (v) ∅∈{{∅}}; (vi) ∅⊈{∅,1,2}; (vii) {∅}∈P({1,2}) are all True.
The statements explainedThe statement means that the set {1,2} is not a proper subset of itself and this is false because set {1,2} is a subset of itself, but it is not a proper subset of itself.
Empty set is a subset of every set, including the power set of {1,2) and that explains why it's true.
Empty set is not an element of {1,2}, and therefore not an element of its power set P({1,2}).
The empty set is a subset of every set, with the empty set inclusive.
(This set {{∅}} has one element, which is the empty set. Therefore, the empty set is an element of the set {{∅}} implying that it's true.
The empty set is a subset of every set, but it is not an element of this particular set {∅,1,2}
(The set {∅} is a subset of the set {1,2}, and therefore an element of its power set P({1,2}) and it is therefore true.
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What would be the second part of this equation?
The equation of the line can be written as y = 2x - 3.
What is the equation of the line in point slope form?The coordinates of a point on the line and the slope of the line must be known in order to use the point-slope form. You can determine the equation of the line by entering these values as appropriate into the formula.
We would now have that;
y - y₁ = m(x - x₁)
In this equation, (x₁, y₁) represents the coordinates of a point on the line, and m represents the slope of the line.
Then;
m = 5 - 3/ 4 - 3
= 2/1
= 2
y - 3 = 2(x - 3)
y - 3 = 2x - 6
y = 2x - 6 + 3
y = 2x - 3
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What is the coefficient of the term x³y4 in the expansion of (x + y)²? b. What is the coefficient of the term x5y² in the expansion of (2x - y)²? c. What is the coefficient of the term x²y+zw²in the expansion of (2x + y - z+w)º?
Coefficient of x³y4 in (x + y)² is 0.Coefficient of x²y+z*w² in (2x + y - z+w)º is 1. the coefficient is 4
The given binomial expression is (x+y)². The formula for the square of the binomial is:(x+y)² = x²+2xy+y²The general term in the expansion of a binomial is given by:T(n+1) = nCrx^(n-r)y^r
The coefficient of x^3y^4 will have r=4 and n=2.
Therefore, the coefficient is zero.The given binomial expression is (2x - y)². The formula for the square of the binomial is:(2x - y)² = 4x²-4xy+y²The general term in the expansion of a binomial is given by:T(n+1) = nCrx^(n-r)y^r
The coefficient of x^5y^2 will have r=2 and n=5. Therefore, the coefficient is 4. Coefficient of x²y+z*w² in (2x + y - z+w)º is 1.
The given binomial expression is (2x + y - z+w)º.
The formula for the zeroth power of the binomial is:(2x + y - z+w)º = 1The general term in the expansion of a binomial is given by:T(n+1) = nCrx^(n-r)y^r
The coefficient of x²y+z*w² will have r=1 and n=2. Therefore, the coefficient is 1. The main answer is:(a) The coefficient of x³y4 in (x + y)² is 0.(b) The coefficient of x5y² in (2x-y)² is 4.(c) The coefficient of x²y+z*w² in (2x + y - z+w)º is 1.
Binomial expansion is a process of expanding a power (x+y)n in the form of sum of terms, where n is any positive integer. The binomial expansion is done with the help of the binomial theorem.
The binomial theorem states that for a binomial expression (x+y)n, the expansion can be obtained by summing the n+1 terms which are given by:T(n+1) = nCrx^(n-r)y^rwhere n is the power of the binomial, r is the power of x in a term and (n-r) is the power of y in the term.
This formula is used to find any specific term in the expansion of the given binomial. In this answer, we found the coefficients of specific terms in the expansion of given binomials.
The coefficients were found using the formula mentioned above. In the first part, the coefficient was zero which implies that there is no term with x³y4 in the expansion of (x+y)².
In the second part, the coefficient was found to be 4 which means that there are four terms with x^5y^2 in the expansion of (2x-y)².
In the third part, the coefficient was 1 which means that there is only one term with x²y+z*w² in the expansion of (2x + y - z+w)º. Hence, we have found the coefficients of specific terms in the expansion of given binomials.
The binomial theorem provides a way to expand any power of the binomial (x+y)n into the sum of terms. The coefficients of any specific term in the expansion can be found using the formula mentioned above. In this answer, we have found the coefficients of specific terms in the expansion of three different binomials.
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Patients in a hospital are classified as surgical or medical. A record is kept of the number of times patients require nursing service during the night and whether or not these patients are on Medicare. The data are presented here: Patient Category Medicare Surgical Medical Yes 46 52 No 36 43 Test the hypothesis (using ) that calls by surgical-medical patients are independent of whether the patients are receiving Medicare. Find to 2 decimal places the P-value for this test. The evidence Choose the answer from the menu in accordance to the question statement sufficient to claim that surgical-medical patients and Medicare status are dependent.
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Given:
\(N= 177\\\\a=46\\\\b=52\\\\c=36\\\\d=43\)
\(\to \chi _{1}^{2}=\frac{N(ad-bc)^{2}}{(a+c)(b+d)(a+b)(c+d)}\)
\(=\frac{177((46\times 43)-(52 \times 36))^{2}}{(98)(79)(82)(95)}\\\\=\frac{177((1978)-(1872))^{2}}{60310180}\\\\=\frac{177(106)^{2}}{60310180}\\\\=\frac{177(11236)}{60310180}\\\\=\frac{1988772}{60310180}\\\\= 0.032976\)
P-value= \(CHIDIST(0.032976,1) = 0.86.\)
thus, the surgical-medical patients and Medicare are dependent.
A. hellen raised 12$ for the food bank last year and she raised 6 times as much money this year how much money did she raise this year
B. sandra raised $15 for the pta and nita raised $45 How many times as much money did nita raise as compared to sandra ?
c. Luis raised $45 for the animal shelter which was 3 times as much money as. anthony raised . how much money did anthony raise
Answer:
A. 72
B. 3
C. 135
Step-by-step explanation:
A. 12 x 6 = 72
B. 15 x 3 = 45 so Nina raise 3x more money than Sandra
C. 45 x 3 = 135
What is the coefficient of determination for a linear model fitting the following bivariate dataset?
The coefficient of determination for a linear regression model fitting with bivariate dataset ( scatterpot present in above figure) is equals to the 90.097.
When we study about linear regressions, usually analyze two coefficients that help us to know about the quality of the regression model and strength of linear relationship between the variables. One is called the coefficient of determination, denoted by R². Consequently, by observing a scatter plot, we can estimate the value of these coefficients. We have a scatterpot for a linear model fitting of the bivariate dataset is present in above figure. Coefficient of determination is always positive. When data are very closely arranged along a approximate line, then coefficient of determination is more near to 1 (In percentage it is 100). Here points are almost closely arranged . So percentage should be near to 100. So possible answer is 90.097. Hence, the answer is 90.097.
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Complete question :
The above figure complete the question.
What is the coefficient of determination for a linear model fitting the following bivariate dataset?
v/8 - 3.1 = -15.9 solve for v
\(\frac{v}{8} -3.1=-15.9\)
Simplify equation:
\(\frac{1}{8}v+-3.1=-15.9\)
\(\frac{1}{8} v-3.1=-15.9\)
Add 3.1 to both sides:
\(\frac{1}{8} v-3.1+3.1=-15.9+3.1\\\)
\(\frac{1}{8} v=-12.8\)
Multiply both sides by 8:
\(8\times(\frac{1}{8} v)=(8)\times(-12.8)\\-102.4\)
\(\fbox{v=-102.4}\)
When would the median be the most effective way to describe a distribution?
Help please!!
If each square of the grid below is 0.5 cm by 0.5 cm}, how many centimetres (cm) are in the perimeter of the blue figure?
Answer:
The perimeter of this figure can be found by counting the number of 0.5 lines it takes to go one full circle around the figure.
In this case, there are 42 of these 0.5 lines.
So, if there are 42 of these 0.5 lines, the perimeter of the figure would just be: 42 times 0.5, which is equal to 21 cm.
Let me know if this helps!
Answer:
its aops. 21
Step-by-step explanation:
Tell me the answers pls :)
Need helppppppp asapppppppp
Answer:
Round (n-value): 0. 1. 2. 3. 4.
# of Teams (aₙ): 1024, 512, 256, 128, 64
Step-by-step explanation:
aₙ = a₁ · r ⁿ⁻¹
Someone please correct me if I'm wrong. I learned this very recently.
find the volume of a rectangular prism with a length of 4 inches and a width of 7 inches and a height of 11 inches
Answer:308
Step-by-step explanation:Multiply 4*7*11
Rewrite the following equation in slope-intercept form. x + 5y = -11 Write your answer using integers, proper fractions, and improper fractions in simplest form. Submit
Answer:
\(\displaystyle y = -\frac{x}{5} - 2\frac{1}{5}\)
Step-by-step explanation:
\(\displaystyle x + 5y = -11 → 5y = -x - 11 → \frac{5y}{5} = \frac{-x - 11}{5} \\ \\ y = -\frac{1}{5}x - 2\frac{1}{5}\)
I am joyous to assist you at any time.
when will a normal probability plot appear linear and what does that indicate?
A normal probability plot (also known as a normal plot or a probability plot) is a graphical tool that can be used to assess whether a set of data follows a normal distribution.
When the data being plotted follows a normal distribution, the points on the plot will appear roughly linear, with deviations from linearity being relatively minor. In other words, the plot will form a straight line.
If the plot deviates significantly from a straight line, it suggests that the data may not be normally distributed. The shape of the plot can indicate whether the data is skewed or has heavy tails compared to a normal distribution.
Therefore, a normal probability plot appearing linear indicates that the data follows a normal distribution. It is important to note that this is only one way to check for normality, and it is always recommended to use multiple methods to verify the normality assumption before applying statistical tests that assume normality.
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what does 204 and 1320 both go into NEED ANSWER ASAP!!!
Answer:
22,440
Step-by-step explanation:
204 = 2 * 2 * 3 * 17
1320 = 2 * 2 * 2 * 3 * 5 * 11
They both have 2 2's and a 3 in common, so use them once
2 * 2 * 3 * 17 * 2 * 5 * 11 = 22,440
Answer:
If you are factoring them out they both go into 12
Step-by-step explanation:
204: 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, and 204.
1320: 1, 2, 3, 4, 5, 6, 8, 10, 11, 12, 15, 20, 22, 24, 30, 33, 40, 44, 55, 60, 66, 88, 110, 120, 132, 165, 220, 264, 330, 440, 660, and 1320.
in both the of them the common factors are 1,2,3,4,6, and 12
a number. n, plus 10 is less than 34
Answer:
N+10<34
Step-by-step explanation:
I think that's the answer if it's asking you to write an equation.
30POINTS
Factor completely.
3x^5 - 75x^3 =
Answer:
3x3 (x+5) (x - 5)
Step-by-step explanation:
The Cowboys win another game! Let's goooo!!!
Answer:
cowboys fan:0 im guessing lol
Step-by-step explanation:
cowboys aren't bad so i'm not complaining:)
What is the size of x when the opposite is 4.9 the hypotenuse is 7.2 i need to work out x which is where it meets with the hypotenuse and adjacent?
Answer:
Step-by-step explanation:
10