Answer:
\(\frac{94}{21}\) or \(4.47619\) or \(4 \frac{10}{21}\)
Step-by-step explanation:
(1): 0.7 was replaced by (7/10).
STEP 1: Negative number raised to an even power is positive
For example let's look at (-7)^6 , where (-7) , a negative number, is raised to 6 , an even exponent :
(-7)6 can be written as (-7)•(-7)•(-7)•(-7)•(-7)•(-7)
Now, using the rule that says minus times minus is plus, (-7)^6 can be written as (49)•(49)•(49) which in turn can be written as (7)•(7)•(7)•(7)•(7)•(7) or 7^6 which is positive.
We proved that (-7)^6 is equal to (7)^6 which is a positive number
Using the same arguments as above, replacing (-7) by any negative number, and replacing the exponent 6 by any even exponent, we proved which had to be proved
Equation at the end of step 1:
1 7
— ÷ —— + 2^2
3 10
STEP 2:
7
Simplify ——
10
Equation at the end of step 2:
1 7
— ÷ —— + 2^2
3 10
STEP 3:
1
Simplify —
3
Equation at the end of step 3:
1 7
— ÷ —— + 2^2
3 10
STEP 4:
1 7
Divide — by ——
3 10
Dividing fractions
To divide fractions, write the divison as multiplication by the reciprocal of the divisor :
1 7 1 10
— ÷ —— = — • ——
3 10 3 7
Equation at the end of step 4:
10
—— + 22
21
STEP 5:
Rewriting the whole as an Equivalent Fraction
Adding a whole to a fraction
Rewrite the whole as a fraction using 21 as the denominator :
22 22 • 21
22 = —— = ———————
1 21
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
5.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
10 + 22 • 21 94
———————————— = 94/21
21 21
Hey there!
(1/3 ÷ 0.7) + (-2)^2
= (0.333333333333333 ÷ 0.7) + (-2)^2
= 0.47619 + (-2)^2
= 0.47619 + (-2)(-2)
= 0.47619 + 4
= 4.47619
Therefore, your answer should be:
4.47619
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The variable used to predict another variable in a regression analysis (usually x) is called the?
The variable used to predict another variable in a regression analysis (usually x) is called the independent variable.
The regression analysis is used to determine the effect on the dependent variable with every one unit change in the independent variable.
The dependent variable is also known as response.
and the independent variable is also known as predictor.
In case of simple linear regression there is only one independent variable and in cases of multiple linear regression there are more than one independent variables.
The general form of simple linear regression is:
\(y=mx+c\)
The general form of multiple linear regression is:
\(y=c+m_1x_1+m_2x_2+...+m_nx_n\)
The dependent variable are usually denoted by the letter "y" and the independent variables are usually denoted by the letter "x".
Therefore, the variable used to predict another variable in a regression analysis (usually x) is called the independent variable.
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a. the general least-squares problem is to find an that makes as close as possible to .
The given statement exists true that the general least-squares problem exists if an is a m × n matrix and b is in r m.
How to Interpret Least squares problem for augmented matrix?The least squares method uses statistics to determine which set of data points fits a set of data points the best by minimizing the sum of the offsets or residuals of the data points from the plotted curve. To predict how dependent variables will behave, least squares regression is used.
The technique that we used to compute a least-squares solution of Ax = b is;
Compute the matrix A T A as well as the vector A T b .
Form the required augmented matrix for the given matrix equation A T Ax = A T b , and then row reduce.
This equation exists always consistent, and as such any solution K x will be a least-squares solution.
By definition, the least squares problem is to estimate xˆ such that |Axˆ − b| ≤ |Ax − b| for all x in IRⁿ.
This means that we are to find a vector x that creates Ax (which exists in the Col(A)) as close to b as possible.
The complete question is:
If a is an m × n matrix and b is in r m, the general least-squares problem is to find an x that makes ax as close as possible to b. true or false?
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Nico earns $12.50 as a math tutor. Write an equation of this proportional relationship. Your answer should be in the form of y=kx
Answer:
y=12.50x
Step by step explantion:
Find the magnitude of a particle's acceleration vector at t = 0 for a particle moving with position vector \(r(t)-(cos(t),t^3)\)
1
0
2
3
Thank you
Answer:
1
Step-by-step explanation:
r(t) = (cos t, t³)
Take first derivative to find velocity:
v(t) = dr/dt
v(t) = (-sin t, 3t²)
Take derivative again to find acceleration:
a(t) = dv/dt
a(t) = (-cos t, 6t)
At t=0, the acceleration's magnitude is:
a(0) = (-1, 0)
|a(0)| = √((-1)² + 0²)
|a(0)| = 1
a linear function goes through the points (-4,2) and (4,-4) . a second linear function is shown on the graph belowa.-2/5b.-4/3c.-5/2d.-3/4
Let:
\(m1=\frac{y2-y1}{x2-x1}=\frac{-4-2}{4-(-4)}=-\frac{6}{8}=-\frac{3}{4}\)\(m2=\frac{-1-1}{5-0}=-\frac{2}{5}\)the linear function goes through the points (-4,2) and (4,-4) has a slope of -3/4
and the linear function shown on the graph has a slope of -2/5
the linear function that goes through the points (-4,2) and (4,-4) has the larger slope
0lease help I would really appreciate
Step-by-step explanation:
a)50°
b)75°
c)125°
d)d=40°
Answer:
Step-by-step explanation:
A)180-(60+70)=50
C)180-30=150 150/2=75
B)180-(35+20)=125
D)2d+d+60=180
3d+60=180
3d=120 ; d=40 ; 2d=40×2=80
The area of a square is 25 square meters. what is the length of one side of the square
Answer:
6.25.
Step-by-step explanation:
25 divided by 4 is 6.25.
Which two expressions are equivalent? A 4 + (3 • y) and (4 + 3) • y B (18 ÷ y) + 10 and 10 + (y ÷ 18) C 12 - (y • 2) and 12 - (2 • y) D (10 - 6) ÷ y and 10 - (6 ÷ y)
The correct answer is C) 12 - (y • 2) and 12 - (2 • y), are Equivalent expressions.
The two expressions that are equivalent are:
C) 12 - (y • 2) and 12 - (2 • y)
The equivalence, let's expand both expressions:
Expression C: 12 - (y • 2)
Expanding the expression, we have: 12 - 2y
Expression D: 12 - (2 • y)
Expanding the expression, we have: 12 - 2y
The order of the terms being subtracted (y • 2 or 2 • y) does not affect the result. Therefore, expressions C) 12 - (y • 2) and 12 - (2 • y) are equivalent.
A) 4 + (3 • y) and (4 + 3) • y
Expanding the expressions, we have: 4 + 3y and 7y
These expressions are not equivalent as they have different terms.
B) (18 ÷ y) + 10 and 10 + (y ÷ 18)
Simplifying the expressions, we have: (18/y) + 10 and 10 + (y/18)
These expressions are not equivalent either as the terms are arranged differently.
D) (10 - 6) ÷ y and 10 - (6 ÷ y)
Simplifying the expressions, we have: 4/y and 10 - (6/y)
These expressions are not equivalent as they have different structures and operations.
Therefore, the correct answer is C) 12 - (y • 2) and 12 - (2 • y), which are equivalent expressions.
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Which statement regarding these four states is true? the state with the lowest population has the greatest population density. the state with the second lowest population has the lowest population density. the state with the lowest population has the lowest population density. the state with the second greatest population has the lowest population density.
State B with the second-lowest population has the lowest population density. Then the correct option is B.
What is decision-making?The process of making choice is by identifying the correct decision, gathering information, and assessing alternative solutions.
The second-lowest density for the states will be given as
\(\rm D_A = \dfrac{1055173}{2677} = 394.16\)
\(\rm D_B = \dfrac{1333089}{36418} = 36.61\)
\(\rm D_C = \dfrac{3596677}{5543} = 648.87\)
\(\rm D_D = \dfrac{6745408}{10555} = 639.07\)
Thus, state B with the second-lowest population has the lowest population density. Then the correct option is B.
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Rich Borne teaches Chemistry 101. Last week he gave his students a quiz. Their scores are listed below. 24 31 47 29 31 16 48 41 50 54 37 22 54 38 7 16
The quiz scores of Rich Borne's Chemistry 101 students are as follows: 24, 31, 47, 29, 31, 16, 48, 41, 50, 54, 37, 22, 54, 38, 7, and 16.the performance of Rich Borne's Chemistry 101 students on the quiz
To analyze this data, we can calculate various descriptive statistics such as the mean, median, mode, range, and standard deviation. The mean (average) score can be obtained by summing up all the scores and dividing by the total number of scores. The median represents the middle value when the scores are arranged in ascending order. The mode refers to the most frequently occurring score. The range is the difference between the highest and lowest scores, indicating the spread of the data. The standard deviation measures the variability or dispersion of the scores around the mean.
By calculating these descriptive statistics, we can gain insights into the performance of Rich Borne's Chemistry 101 students on the quiz and understand the central tendency and variability of their scores.
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A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount $x$ (in dollars) the restaurant needs to earn on Sunday to average $1500 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day
Considering the definition of an equation and the way to solve it, the amount of money that the restaurant needs to earn on Sunday is $1431.
Definition of equationAn equation is the equality existing between two algebraic expressions connected through the equals sign in which one or more unknown values, called unknowns, appear in addition to certain known data.
The members of an equation are each of the expressions that appear on both sides of the equal sign while the terms of an equation are the addends that form the members of an equation.
The solution of a equation means determining the value that satisfies it. In this way, by changing the unknown to the solution, the equality must be true.
To solve an equation, keep in mind:
When a value that is adding, when passing to the other member of the equation, it will subtract.If a value you are subtracting goes to the other side of the equation by adding.When a value you are dividing goes to another side of the equation, it will multiply whatever is on the other side.If a value is multiplying it passes to the other side of the equation, it will pass by dividing everything on the other side.Amount of money that the restaurant needs to earn on SundayBeing "x" the amount of money that the restaurant needs to earn on Sunday, and knowing that:
The restaurant earns $1445 on Friday.The restaurant earns $1624 on Saturday.The reastautant earns an average of $1500 per day over the three-day period.the equation in this case is:
($1445 + $1624 + $x)÷ 3 days= $1500 per day
Solving:
1445 + 1624 + x= 1500×3
3069 + x= 4500
x= 4500 - 3069
x= 1431
Finally, the amount of money that the restaurant needs to earn on Sunday is $1431.
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What is the slope of the line
Answer:
-1/2 is the slope
Step-by-step explanation:
this is because you move 4x on the other side of the equasion making it -4x, you divide by 8 and it makes -1/2x
please help with number one.
Answer:
yo mom
yo mom yo mom
yo mom yo mom
yo mom yo mom
yo mom yo mom
yo mom yo mom
yo mom yo mom
Please help need by tomorrow it would be very very very appreciated
The solution of the given system of equations is (8, -1). of the given system of equations is (8, -1).
One method to solve the given system of equations is substitution:
- Solve one of the equations for one of the variables (e.g., x = 9 + y from the second equation).
- Substitute the expression for the variable into the other equation.
- Solve the resulting equation for the remaining variable.
- Substitute the value for the remaining variable back into one of the original equations to find the value of the other variable
Using this method with the given equations
- x - y = 9 -> x = 9 + y
- 3x + 2y = 22 -> 3(9 + y) + 2y = 22
- Simplifying and solving for y: 27 + 5y = 22 -> 5y = -5 -> y = -1
- Substituting y = -1 into x = 9 + y: x = 8
To check this solution, we can substitute these values back into both original equations and confirm that they are true statements.
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Solve the equation for x: 3(x + 2) + 8x = 11x + 7
Step-by-step explanation:
Use the Distributive Property for the left side of the equation.
\(a( b+ c) = ab + ac\)
Use the Distributive Property:
\(3x + 6 + 8x = 11x + 7\)
\(11x + 6 = 11x + 7\)
x has no solution.
Can someone help pls fast
Answer:
b(x) = 4x + 1
Step-by-step explanation:
If x starts from 1, we can give the equation as follows:
b(x) = 4x + 1
Let's check it, for the first one
x = 1, b(x) = 5
for the second, x = 2, b(x) = 4(2)+1 =9
Can someone please help me ASAP?? It’s due today!! I will give brainliest If It’s correct.
The correct option that indicates how Christa sliced the rectangular pyramid is the second option.
Christa sliced the pyramid perpendicular to its base through two edges.
What is a rectangular pyramid?A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.
The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.
The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid
The correct option is therefore the second option;
Christa sliced the pyramid perpendicular to its base through two edges
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aiden earns 16.00 per hour if he gets a 4% raise, what will be his new hourly wage
Aiden's new hourly wage would be 16.64 per hour.
Solution:
We have been given that Aiden's hourly wage is 16.00 per hour
So, If he gets a 4% raise then his hourly wage will be,
16* (100+ 4) / 100 = 16.64
Therefore, Aiden's new hourly wage will be 16.64 per hour.
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I need help with this asap pls!!
Answer:
Answer is b
Step-by-step explanation:
cuh cuh cuh cuh cuh cuh , , , , , ,,
Trace sends multiple ICMP packets with progressively higher ______________________________ until the packet reaches the destination.
Trace sends multiple ICMP packets with progressively higher Time-to-Live until the packet reaches the destination.
Traceroute is a network diagnostic tool that helps identify the path taken by packets from a source to a destination. It achieves this by sending ICMP packets, also known as Internet Control Message Protocol packets, with an increasing value for a specific parameter called the Time-to-Live (TTL). The TTL value determines how many hops, or intermediate network devices, a packet can traverse before being discarded.
Now, the first router receives the ICMP packet and decrements the TTL value by 1. If the TTL becomes zero, the router discards the packet and sends an ICMP "Time Exceeded" message back to the source host. This message indicates that the packet's TTL has expired, and the source host can determine the IP address of the router.
In summary, when we use traceroute, we send multiple ICMP packets with progressively higher TTL values until the packet reaches the destination host. Each router encountered along the way decrements the TTL value, and if it reaches zero, the router generates a "Time Exceeded" message. This process allows us to trace the network path and identify the intermediate devices that the packets traverse.
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Help me with this question please
How do you tell if a log function is increasing or decreasing?
If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x) = log_b(x),\) where b is the base of the logarithm.
To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.
In the case of logarithmic functions, the derivative of \(f(x) = log_b(x)\) is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.
Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
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If the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
What is a logarithmic function?
A logarithmic function is a type of mathematical function that expresses the power to which a given number (the base) must be raised in order to produce a certain value. It is typically written in the form: \(f(x)=log_b(x)\). where b is the base of the logarithm.
To determine whether a logarithmic function is increasing or decreasing, you can look at the sign of the derivative of the function. If the derivative is positive, the function is increasing; if the derivative is negative, the function is decreasing.
In the case of logarithmic functions, the derivative of \(f(x)=log_b(x)\). is f'(x) = 1/x*ln(b), which is always positive for x > 0, so the logarithmic function is increasing for any base b.
Hence, if the derivative of the function is positive, the function is increasing; if the derivative is negative, the function is decreasing.
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Hello, this isn't really a question, but a tip!
So if your trying to find a perfect square and you given 225 you would just find the square root and if its a whole number then its a perfect square. If your asked to find the number that would make the perfect square that is asked for, you would take each number and multiply it by it self and then you can find your perfect square!!
Answertank cu
Step-by-step explanation:
Answer:
Ok, thanks for the tip you give keep safe.A zoo has an agreement with the local farmers. They sell the daily waste from the elephants to the farmers for $5.00 per pound. If the amount of waste produced by the elephant on a given day is at the 10th percentile of the distribution of waste, how much money would the zoo make selling the waste that day?
The amount of money would be $1115.45 the zoo makes selling the waste that day.
What is Z - score?A Z-score is defined as the fractional representation of data point to the mean using standard deviations.
They charge farmers $5 per pound for the daily feces from the elephants. If an elephant's daily waste production is at or below the 10th percentile for the distribution of waste which is given in the question.
To determine the amount of money would the zoo make selling the waste that day.
P(z ≤ z₀) = 0.1
z₀ = -1.28
⇒z₀ =(x₀ -μ ) / σ
Substitute the values and solve for x₀,
⇒ -1.28 =(x₀ -250 ) / 21
⇒x₀ = (-1.28)×21 - 250
⇒x₀ = 223.09
So the amount of money would be as :
⇒ 223.09 × 5
⇒ 1115.45
Therefore, the amount of money would be $1115.45 the zoo makes selling the waste that day.
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The point P = (-5/3 squared, y) lies on the unit circle shown below. What is the value of
y in simplest form?
The required value of y for the unit circle is: 2/3
How to find the point on the unit circle ?The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).
The equation of the circle is given by:
(x - h)² + (y - k)² = r²
where:
h, k is the coordinate of the center of the circle on coordinate plane.
r is the radius of the circle.
Here,
Equation of the unit circle is given as,
x² + y² = 1
Now substitute the given value in the equation,
5/9 + y² = 1
y² = 1 - 5/9
y² = 4/ 9
y = √(4/9)
y = 2/3
Thus, the required value of y for the unit circle is 2/3
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. Formulate the hypotheses that can be used to determine whether the sample data support the hypothesis that students show a higher population mean math score on the SAT if their parents attained a higher level of education. population mean math score parents college grads. population mean math score parents high school grads. _____ _____ b. What is the point estimate of the difference between the means for the two populations
Answer:
Following are the responses to the given question:
Step-by-step explanation:
For point a:
Following are the null and alternative hypotheses:
\(H_0 : \mu_1 \leq \mu_2\\\\H_1 : \mu_1 > \mu_2\)
For point b:
By using the Excel we obtained the output of the 2 sample t-test that is defined in the attached file.
These point estimately are the difference among the mean for the two populations:
\(\to \mu_{\bar{x_1}-\bar{x_2}} = \mu_{\bar{x_1}}-\mu{\bar{x_2}} ={\bar{x_1}-\bar{x_2}}=573-491=82\)
those are 25 men on the roster of the base ball team three are cattchers 8 are infelids 6 are outsiders and the remainder are pitchers what is the probability that out of two players chosen at random that they would be the pitcher and an inf eiders
Answer:
1/115
Step-by-step explanation:
there are 25 players on the team (10+6+9)
there are 6 infielders
They are picking without replacement
6/25 * 5/24 * 4/23
rearranging
6*4/24 *5/25 *1/23
1 *1/5 *1/23
1/115
Answer: 1/115
what is y?
4y-2x+6=26
how do i show my work?
im not sure if im correct but y could be 6 because if u multiply 4 by 6 its 24 and x is 2 so 2 times 2 is 4 and if we subtract 4 from 24 its 20 plus 6 its equals 26
how to show work:
y=6 x=2
4y - 2x + 6 = 26
4x6=24 - 2x +6 =26
24 - 2x2=4 +6 =26
24 - 4 + 6=26
^^ im not sure if that makes sense but that pretty much sums it up
Victoria is carpeting a playroom as shown in the diagram below. How many square feet of carpeting will Victoria need to buy?
Answer:
Step-by-step explanation:
11
(-1,4),
(-1, 1)
x = 2
The diagram shows a rectangle with a line of symmetry at x = 2.
Two vertices of the rectangle are at (-1, 1) and (-1, 4).
The shaded region is defined by the inequalities a
Find the values of a, b, c and d.
b=
C=
NOT TO
SCALE
d=
[3]
[2]
The value of a= -1, b= 5, c=1 and d=4.
We have,
line of symmetry at x = 2.
Two vertices of the rectangle are at (-1, 1) and (-1, 4).
Now, seeing from the diagram the four vertices of rectangle is
(-1, 1), (-1, 4), (5, 4) and (5, 1).
We have given a≤ x ≤ b then on comparing
a= -1 and b= 5
and, c ≤ y ≤ d then
c = 1 and d=4
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