The measure of the supplementary angles are 63 and 117 degrees.
How to find supplementary angles?Supplementary angles are angles that sum up to 180 degrees. The sum of angles in a supplementary angles is 180 degrees.
Therefore, angles U and V are supplementary angles. The ratio of their measures is 7:13. The measure of each angle can be calculated as follows:
Hence, the angles are as follows:
angle 1 = 7 / 20 × 180
angle 1 = 1260 / 20
angle 1 = 63 degrees
Hence, let's find the other angle.
angle 2 = 180 - 63
angle 2 = 117 degrees.
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CAN SOME PLEASE HELP ASAP
Answer:
1: 57,310
2: 89,600
3: 37,000
Step-by-step explanation:
If x = 3 , solve for y.
y = 2 * 3 ^ 3
Next, solve the equation using order of operations.
Exponents first.
y =2*[?]
Answer:
If $x=3$, then $y=2*3^{3}$. Using order of operations, we evaluate the exponent first, then perform the multiplication:
\begin{align*}
y &= 2 * 3^{3} \\
&= 2 * 27 \\
&= 54
\end{align*}
Therefore, $y=54$.
What is the volume of the figure in terms of pi?
Answer:
1539.38
Step-by-step explanation:
this can be figured out as an entire cylinder and then take 1/2 of that
area of a circle of 7 cm
area = \(\pi\)\(7^{2}\)
area = 153.938
volume = 153.938 * 20
volume = 3078.7608
and take 1/2 of that to find volume of the half cylinder
3078.7608 / 2 = 1539.38
Victor borrowed $18.50 from his mother to go to the theater. A week later, he paid her $18.50 back. How much does he still owe her? He owes her $
Answer:
0
Step-by-step explanation:
Solve the system of equations by the addition method.
8x+y=-2
4x-y=-14
\(8x + y = -2\)
\(4x - y = -14\)
To solve this via the addition method, we just need the two equations together; that means that we will create a new equation where the terms on the left side of both equations are added together and are set equal to the sum of the terms on the right side of both equations:
\((8x + y) + (4x - y) = (-2) + (-14)\)
\(8x + y + 4x - y = -2 - 14\)
\((8x + 4x) + (y - y) = -16\)
\(12x + 0 = -16\)
\(x = \frac{-16}{12}\)
\(x = \frac{-4}{3}\)
Now that we have solved for one term, we can plug this value into either equation to get the value for the other:
\(4x - y = -14\)
\(4(\frac{-4}{3}) - y = -14\)
\(\frac{-16}{3} - y = -14\)
\(\frac{-16}{3} + 14 = y\)
\(\frac{26}{3} = y\)
This means the solution to the system of equations is \((-\frac{4}{3}, \frac{26}{3})\)
Answer:
Step-by-step explanation:
8x + y = -2
4x - y = 14
12x = 12
x = 1
8 + y = -2
y = -10
(1, -10)
You pick a card at random, put it back, and then pick another card at random.
2
3
4
5
6
What is the probability of picking a 4 and then picking a number greater than 4?
Write your answer as a percentage.
Answer:8%
Step-by-step explanation:Since the cards are put back after each pick, the two picks are independent events.
The probability of picking a 4 on the first pick is 1/5, as there is one card with a value of 4 out of five cards in total.
The probability of picking a number greater than 4 on the second pick is 2/5, as there are two cards with values greater than 4 (5 and 6) out of five cards in total.
The probability of both events occurring (picking a 4 and then a number greater than 4) is the product of the probabilities of each event:
1/5 x 2/5 = 2/25
So the probability of picking a 4 and then picking a number greater than 4 is 2/25.
To express this as a percentage, we can multiply by 100:
2/25 x 100 = 8%
Therefore, the probability of picking a 4 and then picking a number greater than 4 is 8%.
5x=5y=1
15x-15y=-15 solve using substitution
Step-by-step explanation:
Step1
Make y the subject of the formula from equation 2
-15y/-15=-15-15x/-15
Y=15+15/15..............3
Substitute equ..... 3 to equ.... 1
5x-5(15+15/15)=1
5x-1(15+15/3)=1
3*5x-1*3(15+15/3)=1*3
15x-1(15+15)=3
15x-15-15pp=3
15x-30=3
15x=3+30
15x/15=33/15
x=2.2
From equation.....
5x-5y=1
5(2.2)-5y=1
11-5y=1
-5y=1-11
-5y/-5=10/-5
Y=-2
PROVE
FROM EQUATION ONE
5X-5Y=1
5(2.2)-5(-2)=1
11-10=1
1=1
SO Y=-2 AND X=2.2
What is the genetic material (DNA and proteins) found in the nucleus called?
atoms
chromosomes
molecules
nucleolus
2) chromosomes
Step-by-step explanation:
"In the nucleus of each cell, the DNA molecule is packaged into thread-like structures called chromosomes" explanation from g.
Simplify 5(6x+9)-3x+4
Answer:
27x+49
Step-by-step explanation:
1. Start by distributing the 5 to 6x+9. This means to multiply 6x and +9 by 5.
6x times 5 = 30x
5 x 9 = 45.
5(6x+9) simplifies to 30x+45
2. Rewrite the expression as 30x+45-3x+4
3. Combine like terms.
30x - 3x = 27x
45 + 4 = 49
27x+49
Factor each polynomial
36xy²-48x²y
Answer:
12xy(3y-4x)
Step-by-step explanation:
The height H in feet of a ball suspended from a spring as a function of time T in seconds can be modeled by the equation h=3sin (pi/2 (t+2))+5 which of the following is the graph of this equation
Answer:
From what I see, the answer is graph D
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
Need help with this??? Please!!!
Answer:
the first option
Step-by-step explanation:
(f-g)(x) simply means to subtract both expressions. really literally.
and we go through it power by power of x.
the highest power/exponent of x is 3 (x³). only f(x) has one.
so, -7x³ is the first part of f-g.
next is x².
11x² - 6x² = 5x², which is the second part of f-g.
next is x.
-8x - (-14x) = -8x + 14x = 6x, which is the third part of f-g.
next is x⁰ (in other words, no x, just a constant).
4 - (-3) = 4 + 3 = 7, which is the 4th part of f-g.
we have no x to the power of -1 or -2, so we have -3
0 - (-4x‐³) = 4x‐³, which is the last part of f-g.
so, it is clearly the first answer option.
range of relation.........
The domain and range of the relation in the ordered pair are {-10, 6, -1, -8, 4} and {-3, 9, -8, -4}, respectively
How to determine the domain and range of the relation in the table?The ordered pair represents the given parameter
This ordered pair is given as
(-10, -3), (6, 9), (-1, -3), (-8, -8), (4, -10)
The x values represent the domain
i.e domain = {-10, 6, -1, -8, 4}
While the y values represent the range
i.e. range = {-3, 9, -8, -4}
Hence, the range of the relation is {-3, 9, -8, -4}
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What is the domain of: f(x) = 8x
2. let t : r 3 → r 2 be a linear transformation. if u and v are vectors in r 2 such that t(u) = 1 2 and t(v) = 2 3 , then t(−u 2v) =
The value of t(-u + 2v) is 5/6.
To find the value of t(-u + 2v), we can use the linearity property of linear transformations.
We know that t(u) = 1/2 and t(v) = 2/3.
Let's break down the expression t(-u + 2v):
t(-u + 2v) = t(-1u + 2v)
Since t is a linear transformation, we can distribute the transformation across the addition and scalar multiplication:
t(-u + 2v) = t(-1u) + t(2v)
Using the linearity property, we can factor out the scalars:
t(-u + 2v) = -1t(u) + 2t(v)
Now substitute the given values of t(u) and t(v):
t(-u + 2v) = -1×(1/2) + 2×(2/3)
Simplifying the expression:
t(-u + 2v) = -1/2 + 4/3
To add these fractions, we need a common denominator:
t(-u + 2v) = -3/6 + 8/6
Combining the fractions:
t(-u + 2v) = 5/6
Therefore, t(-u + 2v) equals 5/6.
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Which of the following correctly describes the relationship between a parameter & a statistic?
a) A statistic is calculated from sample data and it's generally used to estimate a parameter.
b) statistics are a group of subjects selected according to the parameters of the study.
c) A parameter is calculated from sample data and is generally used to estimate a statistic.
d) A perimeter and a statistic are not related.
(a) correctly describes the relationship between a parameter and a statistic.
The correct description is:
a) A statistic is calculated from sample data and is generally used to estimate a parameter.
In statistics, a parameter refers to a characteristic or measure that describes a population, while a statistic is a characteristic or measure calculated from sample data. Statistics are often used to estimate or infer the corresponding parameters of the population. Therefore, option (a) correctly describes the relationship between a parameter and a statistic.
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The top of hill rises 554 feet above -207 what is the altitude of the top of the hillside
the class marks in a frequency distribution of the weights of classmates are 128, 137, 146, 155, 164, 173, and 182 pounds. determine the class-interval size.
The class interval size of the frequency distribution of the weights of classmates is 9.
The class interval's size is equal to the distance between the midpoints of two successive numbers.
137 - 128 = 9
146 - 137 = 9
Therefore,
The size of the class interval is 9.
The smallest and greatest data values that fall into each class in a frequency distribution are represented by the class limit.
In a class with marks between 128 - 137,
The lower limit is 128 and the upper limit is 137
In a class with weights between 137 - 146,
The lower limit is 137 and the upper limit is 146
In a class with weights between 146- 155,
The lower limit is 146 and the upper limit is 155
In a class with weights between 155 - 164,
The lower limit is 155 and the upper limit is 164
Class with weights between 164 - 173,
The lower limit is 164 and the upper limit is 173
In a class with weights between 173 - 182,
The lower limit is 173 and the upper limit is 182
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Please help!! I need this answer please!! i will mark brainliest if correct thanks!!!
9514 1404 393
Answer:
(0.5, -2.5)
Step-by-step explanation:
Each of the coordinates of B(1, -5) is multiplied by the scale factor, 0.5:
B' = (0.5·1, 0.5·(-5)) = (0.5, -2.5)
The coordinates of B' are (0.5, -2.5).
what is the exact value of the expression? tan(π6) sin(5π3)⋅cos(−3π4)
The exact value of the expression tan(π/6) sin(5π/3)⋅cos(-3π/4) is -√3/2.
We have tan(π/6). The angle π/6 is equivalent to 30 degrees. The tangent of 30 degrees is √3/3.
We have sin(5π/3). The angle 5π/3 is equivalent to 300 degrees. In the unit circle, the sine value at 300 degrees is -√3/2.
Finally, we have cos(-3π/4). The angle -3π/4 is equivalent to -135 degrees. In the unit circle, the cosine value at -135 degrees is -√2/2.
Multiplying these values together, we have (√3/3) * (-√3/2) * (-√2/2). Simplifying, we get (√3 * √3 * √2) / (3 * 2 * 2) = (√3 * √2) / 12.
Taking the negative sign into account, the final value is -√3/2, which is approximately -0.866.
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Compute the effective annual rate of interest at which $ 2,000
will grow to $ 3,000 in seven years if compounded quarterly Express
the final answer as a % rounded to 2 decimal places .
The formula for calculating the effective annual rate of interest with quarterly compounding is:
(1 + r/4)^4 - 1 = A/P
where r is the quarterly interest rate, A is the final amount, and P is the principal.
In this case, P = $2,000, A = $3,000, and the time period is 7 years or 28 quarters.
So we have:
(1 + r/4)^4 - 1 = 3000/2000
(1 + r/4)^4 = 1.5
1 + r/4 = (1.5)^(1/4)
r/4 = (1.5)^(1/4) - 1
r = 4[(1.5)^(1/4) - 1]
To get the effective annual rate, we need to convert the quarterly rate to an annual rate by multiplying by 4:
effective annual rate = 4[(1.5)^(1/4) - 1] ≈ 8.84%
Therefore, the effective annual rate of interest at which $2,000 will grow to $3,000 in seven years if compounded quarterly is approximately 8.84%, rounded to 2 decimal places.
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The length of a square park is 6 miles. What is the area of the park?
Answer:
36 miles.......................
Based on these formulas, which scenario would not have been possible?
Following the volumes a cone formula, one can determine a cone's volume given the necessary inputs. When the basis radius or even the see that, height, and slanted height of the cone are determined, the further stages can be carried out.
What is the cone's volume formula?V=1/3hπr²
Cone volume is calculated using the method V=1/3hr2. Learn how to solve a sample problem using this formula.
Step 1: Write down the given parameters, "r" denoting the radius of the cone's base, "d" denoting its diameter, "L" denoting its slant height, and "h" denoting its height.
Step 2: Apply the calculation to determine the cone's volume.
Cone volume using the base radius: V = 1/(r2h) or 1/(r2) (L2 - r2)
Cone volume using the formula V = (1/12)d2h = (1/12)d2 (L2 - r2)
Determine the volume of the a cone with a 3 inch radius and a 7 inch height. (Use π = 22/7).
Solution: We are aware of the volume
As we already know, the cone's volume is (1/3)r2h.
Taking into account that r = 3 inches, h = 7 inches, and = 22/7
So, the volume of the cone is V = (1/3)r2h V = (1/3) × (22/7) × (3)2 × (7) = 22 × 3 = 66 in3
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Describe whether a transformation of
Total_load_present_g and/or Prescribed_total_g will help to improve
the regression fit or not.
20 20 8 1.5 2.0 1.0 0.5 TOGIEO Go D 0 0 O O O 200 8 00 136100 0981 900 0 ABCOD 100000D O 9 0.00 0 00 0 100 O Residuals vs Fitted O O T 200 300 400 63 Fitted values Im(Prescribed_total_g~Total_load_pre
A transformation of Total_load_present_g and/or Prescribed_total_g can help to improve the regression fit. One way to determine this is by analyzing the Residuals vs Fitted plot.
If the plot shows a funnel shape, this suggests that there is heteroscedasticity, which means that the variability of the residuals changes across the range of the predictor variable.
A log transformation of Total load present g or Prescribed total g can help to stabilize the variance of the residuals and improve the regression fit.
Similarly, if the plot shows a curved pattern, this suggests that there may be nonlinearity in the relationship between the predictor and response variables.
A polynomial or power transformation of Total_load_present_g or Prescribed_total_g can help to capture this nonlinearity and improve the regression fit.
In conclusion, a transformation of Total_load_present_g and/or Prescribed_total_g can help to improve the regression fit, depending on the shape of the Residuals vs Fitted plot. If there is heteroscedasticity or nonlinearity in the relationship between the variables, a suitable transformation can help to address these issues and improve the fit of the regression model.
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–81, 108, –144, 192,. Which formula can be used to describe the sequence?.
The formula that can be used to describe the sequence is:\(a(n) = (-1)^(n+1) * 3^(n) * 4.\)
The given sequence is -81, 108, -144, 192.
The formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4\), where n is the nth term in the sequence.
This formula is a geometric sequence formula that can be used to describe the given sequence.
The formula represents the nth term of the sequence as a function of the position of the term in the sequence.
Here, n represents the position of the term in the sequence
.For the given sequence, the first term is -81, which corresponds to the first position in the sequence (n = 1).
The second term is 108, which corresponds to the second position in the sequence (n = 2).
The third term is -144, which corresponds to the third position in the sequence (n = 3).
The fourth term is 192, which corresponds to the fourth position in the sequence (n = 4).
Therefore, the formula that can be used to describe the sequence is: \(a(n) = (-1)^(n+1) * 3^(n) * 4.\)
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Solve for m.
7 = m+n
Answer:
7 -n = m
Step-by-step explanation:
7 = m+n
Subtract n from each side
7-n = m+n-n
7 -n = m
Answer:
m=7-n
Step-by-step explanation:
\(7 = m+n\\\\Switch\:sides\\\\m+n=7\\\\\mathrm{Subtract\:}n\mathrm{\:from\:both\:sides}\\\\m+n-n=7-n\\\\Simplify\\\\m=7-n\)
Can someone please help
Answer: 2.5
Step-by-step explanation:
\(1 \times 3=3\\\\3-\frac{1}{2}=2.5\)
Please solve this questions step by step
Answer:
I am not solving the questions from 1 to 8 , as they are only simple addition questions.
Answer:
Step-by-step explanation:
7) What does a multiplier of \( 1.2 \) mean?
A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.
A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.
A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.
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If varies inversely as (x 2 )and y=16, then x = 5 , so find x & y = 100(hint y = k/ x 2 )
When y = 100, x is approximately equal to 0.04.
If y varies inversely as x^2 and y = 16 when x = 5, we can find the values of x and y when y = 100.
To solve this problem, we can use the inverse variation formula, which states that y = k/x^2, where k is the constant of variation.
Given that y = 16 when x = 5, we can substitute these values into the formula to find the value of k.
16 = k/(5^2)
16 = k/25
To find k, we can cross multiply:
16 * 25 = k
400 = k
Now that we know the value of k, we can use it to find the value of y when x = 100.
y = k/(100^2)
y = 400/(100^2)
y = 400/10000
y = 0.04
Therefore, when y = 100, x is approximately equal to 0.04.
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