\(\left(\frac{-12-8}{2}, \frac{6-13}{2} \right)=\boxed{\left(-10, -\frac{7}{2} \right)}\)
243, 81, 27, 9, 3, 1
Which of the following is the next term in the geometric sequence show above?
A. \\\ -3
B. \\\\ -1
C. \ -1/3
D. \\\\\\\ 0
E. \\\\\\ 1/3
Answer:
E. 1/3
Step-by-step explanation:
In this sequence, the numbers are descending and are 1/3 of the previous number.
243 / 3 = 81
81 / 3 = 27
9 / 3 = 3
3 / 3 = 1
1 / 3 = 1 / 3 (the next term)
Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?
The amount insurance company will pay is $700000.
We are given that
Age of Mr. lewis= 63
Policy value= $700,000
Now,
If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.
Therefore, by algebra the answer will be $700000.
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Name the coordinates of P(-8, 3) under a reflection across the y-axis.
Answer:
(8,3)
Step-by-step explanation:
Hello There!
This is the rule for reflection over y axis:
(x,y) -----> (-x,y)
So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip
So instead of -8 it would be +8
The y value does not change so the new coordinates would be
(8,3)
Simplify by rationalizing the denominator.
(4√15)/√5
The simplified form of the numerical expression (4√15) / √5 will be 4√3.
What is the value of the expression?When the relevant factors and natural laws of a mathematical model are given values, the outcome of the calculation it describes is the expression's outcome.
The ratio is given below.
⇒ (4√15) / √5
Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction are all part of the PEMDAS formula. To answer the problem properly and accurately, this rule must be followed.
⇒ (4√15) / √5
⇒ [4 × √(3 x 5)] / √5
⇒ (4 × √3 × √5) / √5
⇒ 4 × √3
⇒ 4√3
The simplified form of the numerical expression (4√15) / √5 will be 4√3.
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What's the equation of this sequence 4,8,16,32,64,128,256
Answer:
n x 2
Step-by-step explanation:
n x 2
4,8,16,32,64,128,256 , 512,1024,2048...
The slope of a line can be used when building a ramp. Gordon is helping to build a wheelchair ramp for a neighbor's house. For every 12 inches of horizontal distance, the height of the ramp increases 1 inch.
Question 1
Part A
The height of the ramp when it connects to the house is 9 inches. What is the length of the ramp in yards?
Part B
Explain how you determined the length.
Enter the correct answers in the boxes.
The ramp is 9 inches tall, so the length of the ramp is 9×
=
inches, which is equal to
feet, and that is equal to
yards.
Answer:
Part A:
To find the length of the ramp in yards, we need to first determine the horizontal distance covered by the ramp. The slope of the ramp is 1/12, meaning that for every 12 inches of horizontal distance, the height of the ramp increases by 1 inch. Since the height of the ramp when it connects to the house is 9 inches, we can use this information to determine the horizontal distance covered by the ramp.
9 inches / (1/12) = 108 inches
To convert inches to yards, we divide by 36, so
108 inches / 36 inches/yard = 3 yards
Part B:
To determine the length of the ramp, I used the information provided about the slope of the ramp and the height of the ramp when it connects to the house. I used the slope of the ramp (1/12) to calculate the horizontal distance covered by the ramp. Then I converted the horizontal distance from inches to yards by dividing by 36. Finally, I obtained 3 yards as the length of the ramp.
Answer:
Part A = 3 yards
Part B = 9 x 12 = 108 inches = 9 feet = 3 yards
Step-by-step explanation:
Part A
1 inch height - 12 inches length
9 inches height - 9 x 12 = 108 inches length
36 inches = 1 yard
108 inches = 108/36 = 3 yards
Part B
Shown above
The ramp is 9 inches tall, so the length of the ramp is 9 x 12 = 108 inches.
1 feet = 12 inches
108 inches = 108/12 feet = 9 feet
1 yard = 3 feet
9 feet = 3 yards.
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Which of the following is NOT a rational number ?
a 9.3
b pi
C 0
d sqrt(25)
please is number b is pi
b. Passes through the point (2, -4) and is parallel to 3x + y = 5
c. Passes through the point (2, -4) and is perpendicular to 3x + y = 5
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)
now, keeping in mind that perpendicular lines have negative reciprocal slopes
\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)
so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)
Identify the slope of the function: f(2)=3+ (2x+3) + I
Answer:
The slope of this function is 3
Step-by-step explanation:
when using the point slope equation, the form of it typically looks like this.
y-y1=m(x-x1)
y1 is the y coordinate of the point you're given
x1 is well, the x coordinate
and then m stands for the slope of the line.
classify the following differential equation s given in both standard and differential form. Q5 only
type the inequality from its graph
Answer:
x>_-1
Step-by-step explanation:
x is such that x is greater or equal to -1
Solve each equation by completing the square.
d² - 24d + c
Answer:
d² - 24d + c = (d - 12)² - 144 + c
1. Sally has a bag of marbles. She has 3 different colored marbles in her bag – orange, black, and purple. If the probability of getting orange is 3 /10 and the probability of black is 1 /5 . What is the probability of getting purple? explain.
URGENT!!!
Parallelogram has a base of 9 and height of two thirds what is the area
Answer:
Area or parallelogram = base * height
Area = 9 units * 2/3 units
Area = 9/1 * 2/3 square units
Area = 18/3 square units
Area = 6 square units
Answer: area = 6 square units
Use the multiplier formula to answer the following what is the multiplier if the change in RGDP is $525,000,000
Therefore, using the multiplier formula, a $525,000,000 increase in RGDP would result in a total increase in spending of $2,625,000,000.
To use the multiplier formula, we need to know the marginal propensity to consume (MPC), which is the fraction of each additional dollar of income that is spent on consumption.
The multiplier formula is: Multiplier = 1 / (1 - MPC)
If we assume an MPC of 0.8 (meaning that for every additional dollar of income, 80 cents are spent on consumption), the multiplier would be:
Multiplier = 1 / (1 - 0.8) = 5
So, if the change in Real Gross Domestic Product (RGDP) is $525,000,000, the total increase in spending (including consumption, investment, government spending, and net exports) would be:
Total spending increase = Multiplier x RGDP change
Total spending increase = 5 x $525,000,000
Total spending increase = $2,625,000,000
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What is the magnitude (size) of 3.7?
O A. 0.37, because 13.7= 0.37
O B. 3.7, because |3.7= 3.7
O C. 3.7, because 13.71 = -3.7
O D.-3.7, because |3.7) = 3.7
The numerator of a fraction is 8 less than the denominator of a fraction. The value of the fraction is 3/5, find the value of the fraction.
Hello!
Answer:
\(\huge\boxed{\frac{12}{20}}\)
To find the numerator and denominator, we can set up a proportion where:
x = denominator
x -8 = numerator
\(\frac{3}{5} = \frac{x-8}{x}\)
Cross multiply:
\(3(x) = 5(x - 8)\)
\(3x = 5x - 40\)
Simplify:
\(3x - 5x = -40\\\\-2x = -40\\\\x = 20\)
Substitute in this value of x to find the numerator and denominator:
\(\frac{(20) - 8}{(20)} = \frac{12}{20}\)
Hope this helped you! :)
\( \LARGE{ \boxed{ \rm{ \orange{ Solution:}}}}\)
Let the numerator be x
It is given that,
Denominator - 8 = NumeratorThen,
⇛ Denominator- 8 = x
⇛ Denominator = x + 8
According to condition -2)
⇛ Fraction = 3/5
⇛ x/x + 8 = 3/5
Cross multiplying,
⇛ 3(x + 8) = 5x
⇛ 3x + 24 = 5x
⇛ 24 = 5x - 3x
⇛ 24 = 24
Flipping it out,
⇛ 2x = 24
⇛ x = 24/2 = 12
Then,
⇛ x + 8 = 12 + 8 = 20
Numerator = 12Denominator = 20\( \large{ \therefore{ \boxed{ \rm{ \pink{Then, \: the \: fraction = \dfrac{12}{20} }}}}}\)
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A sum of money is to be divided among a,b and c in the ratio 2:3:5. The smallest share amounts to $600
Points x and y and points C,D,E and f are shown what is true about points
The true statement is "the line that can be drawn through points D and E is contained in plane Y".
option B is the correct answer
What are the true statements about the point x and y?The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;
We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.
The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.
So, option (A) is NOT correct.
The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.
So, option (B) is CORRECT.
Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.
So, option (C) is NOT correct.
Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.
So, option (D) is NOT correct.
Thus, the correct option is;
The line that can be drawn through points D and E is contained in plane Y.
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The complete question is below:
Points x and y and points C,D,E and f are shown what is true about points
(A) The line that can be drawn through points C and D is contained in plane Y.
(B) The line that can be drawn through points D and E is contained in plane Y.
(C) The only point that can lie in plane X is point F.
(D) The only points that can lie in plane Y are points D and E
Use a table of areas to obtain the shaded area under the standard normal curve.
The shaded area under the standard normal curve is 2.58%.
According to z-score table,
Area for < 2.23 = 0.9871
Area for >2.23 = 1 - 0.9871
= 0.0129
Area for < 2.23 = 0.0129
Total area = 0.0129 + 0.0129
= 0.0258
Area percent = 0.0258*100
= 2.58%
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Rewrite the expression without parentheses.
13m−(−9m−4)
Answer:
22m+4
Step-by-step explanation:
Let's break it down:
13m+-1(-9m-4)
13m+(9m+4)
22m+4
Answer:
22m+4
Step-by-step explanation:
Rakeem is constructing a triangle. He knows that one side is 32 cm and another is 20 cm
What is the largest size for the last side of the triangle?
b. What is the smallest size for the last side of the triangle?
Answer:38
Step-by-step explanation:
What is the answer please help if you give me a link I will report sorry not sorry
Answer: 4.5
Step-by-step explanation:
You add all the number and divide them by the amout
of numbers there are for example here you add them all and get 45 and since there are 10 you divide 45 by 10 and get 4.5
A circle has a radius of 30 cm and a central angle that measures 312 degrees. Find the length of the arc defined by this central angle
The length of the arc defined by the central angle of 312 degrees is 26π cm.
The formula for the arc length of a circle is given by:
L = (θ/360) × 2πr
where L is the length of the arc, θ is the central angle in degrees, and r is the radius of the circle.
Substituting the given values, we get:
L = (312/360) × 2π(30)
L = (26/30) × π × 30
L = 26π cm
Therefore, the length of the arc defined by the central angle of 312 degrees is 26π cm.
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I have no idea what to do, i need the answer!!!
Answer:
y = -x - 6
Step-by-step explanation:
From point A, to get to point C, you would need to go down 2 and right 2 which is -2/2 and -2/2 is the same thing as -x.
The y-intercept is -6 because the line goes thorough -6 in the y axis.
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Evaluate:
-36-(-5) = [?]
=> - 31
Step-by-step explanation:
As we know
\( - \: - \: = + \)
and
\( + \: - \: = \: - \)
That's the simple trick being used here .
=> - 36 - ( - 5 )
=> -31 ans..
Jane bought 6 boxes of beads. She used 14 of it to make face mask holders and also gave 12 of the boxes to her sister. How many boxes of beads were left?
Jane has 6 - 14 - 12 = -20 boxes of beads left.
Jane initially had 6 boxes of beads.
She used 14 of those boxes to make face mask holders and gave 12 boxes to her sister.
To find out how many boxes of beads she has left, we need to subtract the boxes used and given away from the initial number.
First, let's calculate the total number of boxes used and given away:
Total boxes used and given away = Boxes used for face mask holders + Boxes given to sister
Total boxes used and given away = 14 + 12
Total boxes used and given away = 26
Next, we can subtract the total boxes used and given away from the initial number of boxes Jane had:
Boxes left = Initial number of boxes - Total boxes used and given away
Boxes left = 6 - 26
Boxes left = -20
The result is -20, which implies that Jane has a deficit of 20 boxes of beads.
This means she doesn't have any boxes of beads left; she has a shortage of 20 boxes based on the activities she performed.
It's important to note that having a negative value indicates that Jane doesn't have enough boxes to fulfill her activities.
If the result were positive, it would represent the number of boxes remaining.
However, in this case, Jane has used and given away more boxes than she initially had, resulting in a negative value.
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I need help finding the domain and range, I already know is not a function
Answer:
Domain: [-4, 4]
Range: [-3, 5]
Function? No
Step-by-step explanation:
Domain is all x-values that can be inputted in the graph that returns an output.
Range is all y-values that are outputted when x is inputted.
A function has to pass the Vertical Line Test.
6
Solve the inequality. Graph the solution.
11.3 > b /4.3
The solution is
Step-by-step explanation:
Multiply to remove the fraction, then set equal to
0 and solve.
Inequality Form:
b<48.59
Interval Notation:
(−∞, 48.59)
The solution of the inequality 11.3 > b /4.3 is b< 48.59 along with the number line.
Given Inequality:
11.3 > b /4.3
To solve the inequality 11.3 > b / 4.3,
Multiply both sides of the inequality by 4.3 to eliminate the fraction:
11.3 * 4.3 > (b / 4.3) * 4.3
48.59 > b
The solution to the inequality is b < 48.59.
This means that any value of b that is less than 48.59 will satisfy the inequality.
To graph the solution, indicate that b is less than 48.59 by using an open circle at 48.59 and shading the line to the left of the open circle to represent all the values that satisfy the inequality.
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using the line of best fit
The monthly cell phone bill when shared data equals zero is given as follows:
$26.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.The intercept of the line in this problem is given as follows:
b = 26.
Hence $26 is the monthly cell phone bill when shared data equals zero.
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