Answer:
r = 11
Step-by-step explanation:
mDG and mGM must add up to mDM
Step 1: Set up equation
mDG + mGM = mDM
r + 5 + 3r - 14 = 35
Step 2: Solve for r
Combine like terms: 4r - 9 = 35
Add 9 to both sides: 4r = 44
Divide both sides by 4: r = 11
Answer:
11
Step-by-step explanation:
\(r+5+3r-14=35\\4r-9=35\\4r=44\\r=11\)
Please help PLEASE
PLEASE ANSWER I WILL GIVE U POINTS
Answer:
A.
Step-by-step explanation:
Only table A shows a direct proportion between time and distance, so the answer is A.
X+y=150/2
x+y=75 find the solution using cramers rule
Answer:
I didn’t know if I was solving for x or for y but I believe that the answer is x=75-y
Step-by-step explanation:
Solve by simplifying both sides of the equation, then isolating the variable.
Select the correct answer. Jessica is 5 years older than her sister Jenna. Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. If Jenna’s age is x, which equation represents the situation? How many solutions does the equation have? A. x + 5 = (5 − x) − 5, which has one solution B. x + 5 = (x + 5) − 5, which has infinitely many solutions C. x + 5 = (x + 5) − 5, which has no solution D. x + 5 = (5 − x) − 5, which has infinitely many solutions E. (x + 5) + 5 = (x + 5) + 5, which has infinitely many solutions
If Jenna’s age is x, the equation that represents the situation is; C. x + 5 = (x + 5) − 5, which has no solution
How to solve Algebra Word Problems?
We are given;
Jessica is 5 years older than her sister Jenna.
If Jenna is x years old, then;
Jessica's current age = x + 5
Jenna tells her sister that in 5 years, she will be as old as Jessica was 5 years ago. Thus;
Jenna's age in 5 years time = (x + 5) - 5
This means that Jenna'a age in 5 years time normally is (x + 5). Thus, we will now have the equation;
x + 5 = (x + 5) − 5, which has no solution
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An electric heater draws a current of 5 ampere from 220 volt supply.Calculate
(a) its resistance.
(b) electrical energy consumed in kwh if it is used for 4 hours
\( \sf{• \: An \: electric \: heater \: draws \: a \: current \: of \: 5 \: ampere \: from \: 220 \: volt \: supply.}\)
\( \\ \)
\(\bf{ \underline{To \: Find:- }}\)\( \sf• \: ( a) \: lts \: resistance.\)
\( \sf• \: (b) \: electrical \: energy \: consumed \: in \: kwh \: if \: it \: is \: used \: for \: 4 \: hours.\)
\( \\ \)
\(\huge\bf{ \underline{ Solution :-}}\)
\( { \boxed{\bf{(a)}}}\)
\( \sf• \: Current \: (I) = 5 \: A\)
\( \sf• \: Voltage \: (V) = 220 \: v\)
\( \bf \red{\bigstar{\: Formula \: of \: Resistance \: (R) = \frac{V}{I} }}\)
\( \sf \rightarrow R = \frac{220}{5} \)
\( \sf \rightarrow R =44\)
\( \bf{Hence, \: it's \: resistance \: is \: \: 44 \: Ω \: .}\)
\( \\ \\ \)
\( { \boxed{\bf{(b)}}}\)
\( \sf• \: Current \: (I) = 5 \: A\)
\( \sf• \: Voltage \: (V) = 220 \: v\)
\( \bf \red{\bigstar{\: Formula \: of \: Electric \: Power \: (P) = IV }}\)
\( \sf \rightarrow P = (5 \times 220) \)
\( \sf \rightarrow P = 1100 \:\)
\( \\ \)
\( \sf \therefore \: P = 1100 \: watt\)
\( \sf{• \: Time \: (t) = 4 \: hours }\)
\( \bf \red{\bigstar{ \: Formula \: of \: Energy \: (W) = Pt}}\)
\( \sf \rightarrow W= 1100 \times 4\)
\( \sf \rightarrow W = 4400\)
\( \sf \rightarrow W = \frac{4400}{1000} \)
\( \sf \rightarrow W = 4.4\)
\( \sf \therefore W = 4.4 \: kwh\)
\( \bf{Hence, \: Electrical \: Energy \: is \: 4.4 \: kwh.}\)
Find det(2A2) if A is 3 × 3 and det(A)=4.
The determinant of 2A^2 if A is 3 × 3 and det(A)=4 is 128.
The Determinant of a matrix when multiplied with any constant is the determinant of the matrix without that constant multiplied to the nth power of the constant, where n is the rank of the matrix.
So, Det(2A²) can be written as 2³× Det(A²)
and we also know if the dimensions of the matrices are the same Det(A × B) is the same as Det(A) × Det(B)
so, further, we can write
Det(2A²)=2³× Det(A)× Det(A)
Also its given that Det(A) = 4
so, putting the value of the given we get,
Det(2A²)=2³× 4 × 4
i.e. Det(2A²) = 128
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The Bikini Bottom shop sells 2 SpongeBobs for $7.50. The Patrick Rock
shop sells 3 SpongeBobs for $9.60. Which shop has a better buy?
Answer:
patrick
Step-by-step explanation:
Answer:
The bikini bottom
Step-by-step explanation:
Say you wanted to buy 4:
$7.40
$7.40
=14.08
and if you would do the same with "patrick"
$9.60
$9.60
$9.60
$27.18
Meaning if you bought extra "Spongebobs" you could save a lot of money
(Im hoping this problem was a joke)
what number is best to use to simplify a fraction?
A Least common multiple
B Least common denominator
C Greatest common factor
D Greatest factor
The best number to simplify a fraction is C Greatest common factor.
What is the greatest common factor?The greatest common factor is the highest number that can divide both the numerator and the denominator of the fraction without leaving a remainder.
To find the greatest common factor, list the prime factors of each number, take the common factors, and then multiply them.
For instance, the greatest common factor of 24 and 36 is 12, produced from the common factors of 3 and 4 (2 x 2) multiplied to get 12 (3 x 4).
Thus, it is easier to simplify a fraction using Option C than the other options.
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with which measurement procedure is the target behavior recorded if it occurs at any point within the scoring interval?
If the target behavior is recorded whenever it occurs at any point within the scoring interval, the measurement procedure used is called continuous recording or event recording. This method involves observing and recording each instance of the behavior without considering its duration or intensity.
Continuous recording is typically used when the target behavior is discrete and occurs relatively infrequently or has a short duration. With this measurement procedure, each occurrence of the behavior is recorded as a separate event, regardless of when it starts or ends within the scoring interval. Examples of behaviors that can be measured using continuous recording include vocalizations, hand clapping, or instances of aggression.
Continuous recording provides a comprehensive account of the frequency or rate at which the behavior occurs, allowing for a detailed analysis of its occurrence patterns. This method is particularly useful when a precise count of behavior instances is needed and when the duration or intensity of the behavior is not a focus of measurement.
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g(x)=2x+1 evaluate the function above for g(6)
Answer:
G(6)=13
Step-by-step explanation:
G(6)=2(6)+1 or G(6)=12+1 which is 13 hope this helps ur welcome
Answer:
12
Step-by-step explanation:
g(6)=2(6)+1
=12+1
=13
Given f(x)=x*-x³-6x², for what values of x will f(x) > 0?
The values of x will f(x) > 0 for x < 0, and f(x) < 0 for -6 < x < 0 and x > -6.
To determine the values of x for which f(x) > 0, we need to find the intervals where the function is positive. Let's analyze the function f(x) = x*-x³-6x².
First, let's factor out an x from the expression to simplify it: f(x) = x(-x² - 6x).
Now, we can observe that if x = 0, the entire expression becomes 0, so f(x) = 0.
Next, we analyze the signs of the factors:
1. For x < 0, both x and (-x² - 6x) are negative, resulting in a positive product. Hence, f(x) > 0 in this range.
2. For -6 < x < 0, x is negative, but (-x² - 6x) is positive, resulting in a negative product. Therefore, f(x) < 0 in this range.
3. For x > -6, both x and (-x² - 6x) are positive, resulting in a negative product. Thus, f(x) < 0 in this range.
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What is the probability that a candidate will be selected with only one dissenting vote (all but one committee members choose the same person)?
The Probability = (number of candidates - 1) * (number of committee members) / (number of candidates ^ number of committee members)
The probability that a candidate will be selected with only one dissenting vote depends on the total number of committee members and the number of candidates.
First, we need to calculate the total number of ways that the committee members can vote. This is equal to the number of candidates raised to the power of the number of committee members. For example, if there are 3 candidates and 5 committee members, the total number of ways that the committee members can vote is 3^5 = 243.
Next, we need to calculate the number of ways that a candidate can be selected with only one dissenting vote. This is equal to the number of candidates minus 1 (for the dissenting vote) multiplied by the number of committee members (for the number of ways that the dissenting vote can be placed).
For example, if there are 3 candidates and 5 committee members, the number of ways that a candidate can be selected with only one dissenting vote is (3-1) * 5 = 10.
Finally, we can calculate the probability by dividing the number of ways that a candidate can be selected with only one dissenting vote by the total number of ways that the committee members can vote. For example, if there are 3 candidates and 5 committee members, the probability is 10/243 = 0.041. In general, the probability that a candidate will be selected with only one dissenting vote is: Probability = (number of candidates - 1) * (number of committee members) / (number of candidates ^ number of committee members)
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A pair of adjacent angles, whose non-common sides are opposite rays, is known a. (a) adjacent pair. (b) alternate pair. (c) linear pair. (d) common pair.
The linear pair is the correct answer for a pair of adjacent angles whose opposite rays form their non-common sides.
What is a linear pair?When two lines meet at a single point, a pair of linear angles is formed. If the angles at the intersection of the two lines are next to one another, they are said to be linear. The total of the angles in a linear pair is always 180°.Meanwhile, the linear pair is not the only pair of angles. The other pairs are: complementary, supplementary, linear pair, vertically opposite, alternate interior, alternate exterior, corresponding, and adjacent angles.Learn more about the linear pair:
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A Moving to another question will save this response. ≪ Question 16 4 points Jean purchases a house for $750,000 and is able to secure an interest only, 5 year fixed rate mortgage for $600,000 at 5% interest. After five year, the house appreciates to $792078.31. What is Jean's equity as a percent of the house value? Write your answer as a percent rounded to two decimal points without the % sign (e.g. if you get 5.6499%, write 5.65 ). Nastya takes our a 10-year, fixed rate, fully amortizing loan for $622422 with 5.2% interest and annual payments. What will be her annual payments? Round your answer to the nearest cent (e.g. if your answer is $1,000.567, enter 1000.57).
Nastya's annual payments on the loan will be approximately $7,350.68 (rounded to the nearest cent).
To find Jean's equity as a percent of the house value, we need to calculate the equity and divide it by the house value, then multiply by 100 to get the percentage.
Jean's equity is the difference between the house value and the mortgage amount. So, the equity is $792078.31 - $600,000 = $192,078.31.
To calculate the percentage, we divide the equity by the house value and multiply by 100: ($192,078.31 / $792078.31) * 100 = 24.26%.
Therefore, Jean's equity as a percent of the house value is 24.26%.
Now, let's move on to Nastya's question.
To calculate Nastya's annual payments on a fully amortizing loan, we need to use the formula for calculating the monthly payment:
P = r * PV / (1 - (1 + r)^(-n))
Where:
P = Monthly payment
r = Monthly interest rate (annual interest rate / 12)
PV = Present value of the loan
n = Total number of payments
Given:
PV = $622,422
Annual interest rate = 5.2%
n = 10 years
First, we need to convert the annual interest rate to a monthly interest rate: 5.2% / 12 = 0.43333%.
Next, we substitute the values into the formula and solve for P:
P = (0.0043333 * 622422) / (1 - (1 + 0.0043333)^(-10))
Using a calculator, we get P ≈ $7,350.68.
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the readability of a balance is the smallest increment that can be read on that balance. what is the readability of a double-pan torsion balance (in milligrams)
The readability of a double-pan torsion balance is typically very small, usually in the range of a few milligrams (mg). This is because the double-pan torsion balance is a highly sensitive instrument used to measure very small masses.
The readability of a double-pan torsion balance is determined by the sensitivity of the torsion spring which is used to measure the mass on the scale pans. The higher the sensitivity of the torsion spring, the higher the readability of the double-pan torsion balance. The readability of a double-pan torsion balance is typically in the range of 0.1 to 0.5 mg.
This allows the balance to measure very small increments with a high degree of accuracy and precision. The readability of a double-pan torsion balance is critical for accurate measurements of very small masses, such as in the pharmaceutical, chemical and food industries.
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help please
3x-10=56
79-y=2x
work out x and y
Answer:
3x-10=56
3x=56+10
3x=66
3x/3 = 66/3
x=11
79-y=2x
79-y=2(11)
79-y=22
79-22=y
y=57
therefore x=11 and y=57
3x-10=56
79-y=2x so y=-2x+79
(Solve 3x−10=56 for x):
3x−10=56
3x−10+10=56+10 (Add 10 to both sides)
3x=66
(Divide both sides by 3)
x=22
(Substitute 22for x in y=−2x+79):
y=−2x+79
y=(−2)(22)+79
y=35 (Simplify both sides of the equation)
Answer:
x=22 and y=35
Which equation represents exponential decay?
PLEASE HELP!!!
I WILL HIVE BRAINLEIST IF YOU HELP
Answer:
C.
Step-by-step explanation:
Decay is getting smaller, and c is the only one where B will reduce the size of something.
A parabola can be drawn given a focus of
(8,-1) and a directrix of y = 3. What can be
said about the parabola?
Answer:
If you sketch the directrix and the focus, the vertex is halfway between them. It would be (-8,-1)
The p value is the distance from the focus to the vertex and the distance between the vertex and the directrix (they are the same) p=3.
The direction of the focus from the vertex will show which way it opens. The one opens down.
Step-by-step explanation:
hehe
Answer:
vertex: (8, 1)p-value: -2opens downwardStep-by-step explanation:
The vertex of a parabola is halfway between the focus and the directrix. The p-value of the equation is half the distance from the focus to the directrix. The parabola opens around the focus, away from the directrix.
__
vertexThat is, the vertex will lie on the same vertical line, but have a y-coordinate that is the average of the y-values of the focus and directrix. Here, that means the y-value of the vertex is ...
(directrix +focus)/2 = (3 +(-2))/2 = 1
The focus is on the vertical line x=8. The coordinates of the vertex are (8, 1).
__
p-valueThe parameter "p" is part of the leading coefficient of the quadratic defining the parabola. It fits into the vertex-form equation as shown here:
\(y=\dfrac{1}{4\mathbf{p}}(x-h)^2+k\qquad\text{vertex at $(h,k)$}\)
The value of p is the distance from the focus to the vertex. When the focus is below the vertex, as here, the value of p will be negative.
p = (focus y-value) - (vertex y-value) = (-1) -1
p = -2
__
openingThe focus lies "inside" the parabola, and the directrix lies "outside." The parabola "wraps around" the focus, away from the directrix. When the focus is below the directrix, the parabola opens downward. (The leading coefficient of the equation is negative, telling you the same thing.
_____
Additional comment
The parabola is the set of points equidistant from the focus and directrix. Thus it should come as no surprise that the vertex is equidistant from the focus and directrix. They lie on the same vertical line when the directrix is horizontal.
The latus rectum is the line segment parallel to the directrix, through the focus, with end points on the parabola. Its end points always lie on a line with slope ±1/2 through the vertex. This can help you find (or verify) the focus graphically.
CAN SOMEONE PLEASE HELP ME WITH THIS??
Answer:
12
Step-by-step explanation:
6x12=72
3x12=36
36+36=72
Answer: 23.
Step-by-step explanation:
A: y=6n+ 4 When n =5
B: y=45-(9n+7) When n = 2
Answer:
A=34 B=20
Step-by-step explanation:
A: y=6(5)+4 (34)
B: y=45-(9(2)+7)
y= 45-(18+7)
y=45-25 (20)
when using a multiple-baseline design, how would one decide when to implement the independent variable?
Find the mean please
Answer:
199.5
Step-by-step explanation:
Add all the numbers and divide by number of responses aka 6
Draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up
To draw the image of quadrilateral ABCD under a translation by 1 unit to the right and 4 units up, we will move each point of the quadrilateral in the specified direction.
Let's assume the coordinates of the original quadrilateral ABCD are as follows:
A(x₁, y₁), B(x₂, y₂), C(x₃, y₃), D(x₄, y₄)
To perform the translation, we will add the given values to the x-coordinates and y-coordinates of each point:
A'(x₁ + 1, y₁ + 4), B'(x₂ + 1, y₂ + 4), C'(x₃ + 1, y₃ + 4), D'(x₄ + 1, y₄ + 4)
Now, plot the original quadrilateral ABCD and then move each point to its corresponding new position.
For example, if point A had coordinates (2, 3), after the translation, it will move to (2 + 1, 3 + 4) = (3, 7). Similarly, you can calculate the new coordinates for points B, C, and D using the same process.
Once you have the new coordinates for each point, connect them to form the image of the quadrilateral ABCD under the translation.
The new quadrilateral A'B'C'D' will be a shifted version of the original quadrilateral, 1 unit to the right and 4 units up.
It's important to note that the scale and proportions of the quadrilateral will remain the same after the translation. Only its position in the coordinate plane will change.
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Can someone help me with #3 on c d and e
Step-by-step explanation:
1.2 x 5 = 6.0
0.9 x 1.1 = .99
1.5 x 2 = 3.0
A function has a slope of 3, and one solution is given in the table. identify the missing outputs. x: 5 6 7 8 9 y: -50
The remaining value will increase by the value of the slope. Hence the remaining missing values are -47, -44, -41, -38 and -35
Slope and tablesThe slope of a line is the ratio of the rise to run of a line. It is also defined as the rate of change of coordinate y with respect to x. Mathematically;
slope = change in y/change in x
If the slope of the table given is 3, then using the coordinate points (5, -50)and (6, y)
Substitute
3 = y-(-50)/6-5
3 = y+50/1
y+50 = 3
y = -47
The remaining value will increase by the value of the slope. Hence the remaining missing values are -44, -41, -38 and -35
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Determine wheter the geometric series is convergent or divergent. If it is convergent, find its sum. 9 - 10 + 100/9 - 1000/81 + ..., To see 9 - 10 + 100/9 - 1000/81 + ..., as a geometric series, we must express it as Sigma^infinity _n = 0 ar^n. For any two successive terms in the geometric series Sigma^infinity _n = 1 ar^n - 1, the ratio of the the two terms, ar^n/ar^n - 1, simplifies into an algebraic expression given by In our series 9 - 10 + 100/9 - 1000/81 + ..., the ratio - 1000/81/100/9 is r =. In the series 9 - 10 + 100/9 - 1000/81 + ..., the n = 2 term is 100/9. If this is to equal ar^2 = a(- 10/9)^2, then a = ____.
The given series 9 - 10 + 100/9 - 1000/81 + ... is a geometric series with the first term a = 9 and the common ratio r = -10/9. To check if the series is convergent or divergent, we need to find the absolute value of the common ratio, which is |-10/9| = 10/9 > 1. Since the absolute value of the common ratio is greater than 1, the series is divergent.
Therefore, the series does not have a finite sum. The expression a(-10/9)^2 is not applicable here as the series is not convergent.
In the given geometric series 9 - 10 + 100/9 - 1000/81 + ..., let's first find the common ratio (r). We can do this by dividing a term by its preceding term:
r = (-1000/81) / (100/9) = (-1000/81) * (9/100) = -10/9
Now, let's find the first term (a). We know that the n = 2 term is 100/9, which equals a * r^2:
100/9 = a * (-10/9)^2
Solving for a, we get:
a = (100/9) / (100/81) = 81/9 = 9
Now that we have a = 9 and r = -10/9, we can determine if the series converges or diverges. A geometric series converges if the absolute value of r is less than 1, which is true in this case:
|-10/9| < 1
Since the series converges, we can find its sum using the formula for the sum of an infinite geometric series:
Sum = a / (1 - r) = 9 / (1 - (-10/9)) = 9 / (19/9) = 9 * (9/19) = 81/19
So, the sum of the given geometric series is 81/19.
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Assume that a numerical variable in a particular dataset has a minimum value of 10 and a maximum value of 35. You want to construct a frequency distribution for this variable using 5 classes. What is the class width that you should use?
a.5
b.6
c.10
d.25
e. 2
The class width that should be used for constructing the frequency distribution is 5.
To determine the class width for constructing a frequency distribution with 5 classes, we need to calculate the range of the variable and divide it by the number of classes.
Range = Maximum value - Minimum value
= 35 - 10
= 25
Class width = Range / Number of classes
= 25 / 5
= 5
Therefore, the class width that should be used for constructing the frequency distribution is 5.
The correct answer is (a) 5.
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Find the point at which the line x = 5 − t, y = 2 + t, z = 3t intersects the plane x − y + 4z = 13.
The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).
According to the statement
we have to find the point which they intersect the given plane.
So, For this purpose, we know that the
The given equations is :
x = 5 − t, -(1)
y = 2 + t, -(2)
z = 3t -(3)
And the given plane is :
x − y + 4z = 13 -(4)
And, the intersection of plane point is :
Put the equations 1 and 2 and 3 in the 4th equations then
(5 − t) - (2 + t) + 4(3t) = 13
3 - 2t + 12t = 13
3 + 10t = 13
10t = 10
Then
t = 1
Put these values in 1 and 2 and 3rd equation then the value of x y z become
x = 5 − t, -(1)
x = 5 -1
x = 4
And
y = 2 + t, -(2)
y = 2 + 1
y = 3
And
z = 3t -(3)
z = 3(1)
z = 3.
The value of (x,y,z) = (4,3,3).
So, The value of the points at which intersection of plane takes place is (x,y,z) = (4,3,3).
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helpppppppppppp meeeeeeeeeeee pleaseee!!!
Based on the vertical line test, y is not a function of x in the given graph because the line drawn intercepts the graph at two points.
What is the Vertical Line Test?The vertical line test is used to test whether a relation that is graphed is a function or not.
To conduct the vertical line test, a vertical line is drawn to cut through the graph that represents a relation. If the line intersects the graph at exactly one point, then it is a function. If the line intersects the graph at more than one point, then the graph does not represent a function.
The image attached below shows the vertical line test. The line intercepts the graph at two points, therefore, the relation that is represented by the graph is not a function.
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solve: 9 x squared minus 12x + 4 equals 0. give answer as a fraction or integer do not use decimals do not put space in answer
The answer is x= 2/3
:) <3
Brad rolled a cube number cube 30 times and recorded the results in the tally chart below which what is the experimental probability of rolling a five