Answer:
f(n+6)
Step-by-step explanation:
n is our first number, which is 16. What do we add to 16 to get 22? We must add 6 because 22-16 is 6. The problem says the sequence is recursive, meaning that the same number is being added to each of the numbers.
f(2)=22
f(3)=28
f(4)=34
f(5)=40
And so on...
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a candle maker plans to make 30 candles
Answer:
okay and.....?
Step-by-step explanation:
is theyre not to the ? or sum
−(−2 − n) please help
Answer:2+n
Step-by-step explanation:
1. distribute parentheses
=-(-2)-(-n)
2.apply minus-plus rules
=2+n
answer this pleeaasee
Mary is making a recipe that calls for 3/4 teaspoon of cinnamon. Her only
measuring spoon holds 4/8 teaspoon. How many times will she need to fill
her measuring spoon to get enough cinnamon for the recipe?
Answer:
She will need to fill her spoon twice, once adding in the full amount, and the second adding half the amount.
3/4 ÷ 4/8
=3/4 * 2/1
=6/4
=1.5
So, that much amount would be needed o be added to the recipe during the two times
Building For safety, the angle a wheelchair ramp makes with the horizontal should
be no more than 3.5º. What is the maximum height of a ramp of length 30 ft? What
distance along the ground would this ramp cover? Round to the nearest tenth of
a foot.
Answer: 8.6
Step-by-step explanation:
8.57142857143 --> 8.6
Can anyone help me with this? I'll mark brainliest for best answer
Answer:
The answer is k = -12
In which quadrant does the point (-5, -21) lie? A. Quadrant IV B. Quadrant I C. Quadrant III D. Quadrant II
Answer:
Quadrant 3
Step-by-step explanation:
Answer:
Quadrant 3
Step-by-step explanation:
All negatives all fall under 3
Function Notation
f(-4)=___
Please help i will give brainlist .
Answer:
Step-by-step explanation:
The diagonals in squares always equal 90 degrees, so thats your answer for AEB: 90
For EDC:
We know that DEC is 90, and angle measures in a triangle must add to 180.
Angle D and C are congruent, so they are both 45 degrees.
EDC: 45
To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother sid he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this situation?
a
\large 6d+7.5c\le15
\large d+c\ge75
b
\large 6d+7.5c\le75
\large d+c\ge15
c
\large 6d+7.5c\ge75
\large d+c\le15
d
\large 6d+7.5c\ge15
\large d+c\le75
Answer:
d + c ≤ 15
6*d + 7.50*c≥ 75
Step-by-step explanation:
Mathematical inequality is that proposition that relates two algebraic expressions whose values are different. It is a proposition of relation between two different elements, either by greater, lesser, greater or equal inequality, or less or equal.
In other words, an inequality is obtained by writing two numerical or algebraic expressions related to any of the symbols>, <, ≥ or ≤.
You know Tom's mom said that he can't work more than 15 hours to make sure he keeps up with his homework. That is, the number of hours walking the neighbor's dog added to the car wash should not exceed 15 hours, that is, it must be less than or equal to that amount. If d represents the number of hours walking your neighbor's dog and c represents the number of hours washing cars, then it is possible to represent this by the following inequality:
d + c ≤ 15 Inequality (A)
On the other hand, you know that Tom needs to earn at least $ 75 to cover the expenses of this weekend's prom. In other words, the money earned by walking dogs added to that earned by washing cars must be equal to or greater than $ 75. If Tom will walk his neighbor's dog for $ 6 an hour and wash cars for $ 7.50 an hour, then $ 6*d is the money earned walking dogs and $ 7.50*c is the money earned from washing cars. So this is represented by the inequality:
6*d + 7.50*c≥ 75 Inequality (B)
Then the system of inequalities that represents this situation is given by the Inequation (A) and the Inequation (B)
please helppppppppppppp
Answer:
a
Step-by-step explanation:
Divide the money raised by the number of laps skated.
$600.00 ÷ 1200 = $0.50 → a
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Answer:
i dont understand russian
Step-by-step explanation:
Rob is saving to buy a new MP3 player. For every $12 he earns babysitting, he saves $9. On Saturday, Rob earned $36 babysitting. How much money did he save?
Answer:
$27
Step-by-step explanation:
Set up a proportion where x is the amount of money he saved:
\(\frac{12}{9}\) = \(\frac{36}{x}\)
Cross multiply and solve for x:
12x = 324
x = 27
So, he saved $27
Which statement regarding the diagram is true?
m∠MKL + m∠MLK = m∠JKM
m∠KML + m∠MLK = m∠JKM
m∠MKL + m∠MLK = 180°
m∠JKM + m∠MLK = 180°
Answer:
b. m∠KML + m∠MLK = m∠JKM
Step-by-step explanation:
right on edge
The statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.
What is the triangle?In terms of geometry, the triangle is a three-sided polygon with three edges and three vertices. The triangle's interior angles add up to 180°.
We have a triangle shown in the picture:
As we know, triangle is a polygon with three sides and three interior angles.
From the definition of the triangle, The triangle's interior angles add up to 180°
m∠MKL + m∠MLK + m∠KML = 180
Also, the sum of the two interior angles is equal to the exterior angle.
m∠KML + m∠MLK = m∠JKM
Thus, the statement regarding the diagram "m∠KML + m∠MLK = m∠JKM" is true option (B) m∠KML + m∠MLK = m∠JKM is correct.
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Find the distance between the two points rounding to the nearest tenth (if necessary).
(1, -5) and (4, -1)
Understanding:
This can be easily solved by using the distance formula which is
\(d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2} }\\\)
\(d:\) distance
\((x_{1},y_{1}):\) coordinates of the first point, in our case it is \((1,-5)\)
\((x_{2},y_{2}):\) coordinates of the second point, \((4,-1)\)
Solution:
\(d=\sqrt{[(4)-(1)]^{2}+[(-1)-(-5)]^2}\\=\sqrt{(3)^2+(4)^2}\\= \sqrt{9+16} \\=\sqrt{25}\\= 5\)
The distance between the two points is 5.
an airplane, flying horizontally at 200 mph at an altitude of 3 miles, passes over a radar station. what is the rate of change of the angle of elevation between the radar station and the plane 3 minutes after the plane passes over the radar station? (the angle of elevation is the angle between the horizontal and a line between the radar station and the airplane.)
The rate of change of angle of elevation between the radar station and airplane is
\(\displaystyle \frac{-10}{109} \left(\frac{rad}{min}\right)\)
The airplane is flying at the speed of 200 mph
The airplane is at an altitude of 3 miles over the radar station
The distance travelled by the airplane after 3 mins
distance = speed x time
= 200 mi/hr x 3 min
Since the speed is hour let us convert it to mins
= 200 x 3 x 1/60
= 600 / 60
= 10 miles
So , let us assume that the airplane is exactly at the top of the radar station at an altitude of 3 miles
Then the elevation angle of the between radar station and airplane can be find by
tan θ = O / A
where O is the opposite side to the angle of elevation
A is the adjacent side to the angle of elevation.
But we need the find the rate of change of angle of elevation , so let us differentiate on both side with respect to time
\(\displaystyle sec^{2}\theta\frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{A^{2}}\)
\(\displaystyle \frac{ d\theta }{dt} = \frac{A \frac{dO}{dt} - O \frac{dA}{dt} }{sec^{2}\theta A^{2}}\)
\(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{sec^{2}(10)^{2}}\)
The altitude is gonna be a constant , thus the derivative of altitude will be zero whereas , the the distance travelled by airplane is changing with respect to time.
\(\displaystyle \frac{d\theta}{dt} = \frac{10 (0) - 3 (200 mi/hr)}{\frac{109}{100}(10)^{2}}\)
We had found the value of sec²θ = (hyp/adj)²
\(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \frac{rad}{hr}\)
Now , let us convert in terms of rad/min
\(\displaystyle \frac{d\theta}{dt} = \frac{-600}{109} \left(\frac{1}{60}\right)\)
\(\displaystyle \frac{d\theta}{dt} = \frac{-10}{109} \left(\frac{rad}{min}\right)\)
Therefore , the rate of change of angle of elevation is -10/109 (rad/min)
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Identify the domain of the relation. {(-9, 2), (-4, 2), (3, 2), (9, 2)} *
Answer:
2
Step-by-step explanation:
Domain is the Y's of the pairs
All the pairs have 2 as the y value, therefore domain is 2
What type of association does the graph show between x and y? A graph shows scale on x axis and y axis from 0 to 12 at increments of 1. Dots are made at ordered pairs 1, 1 and 2, 1.1 and 3, 1.3 and 4, 1.7 and 5, 2 and 6, 2.5 and 7, 3.1 and 8, 4.2 and 9, 6 and 10, 10. Linear positive association Nonlinear positive association Linear negative association Nonlinear negative association
Nonlinear positive association
Answer:
I got Nonlinear positive association
Step-by-step explanation:
what are the two next numbers in this sequence.
12,14,18,26,42, ,
Answer:
74 , 138
Step-by-step explanation:
12 + 2 = 14
14 + 4 = 18
18 + 8 = 26
26+16 = 42
42+32= 74
74+64 =138
please make my answer as brainelist
3 and 0.75x = 10 and 0.25x what is x
Answer:
14
Step-by-step explanation:
with "and" you mean "+" ?
if so, then
3 + 0.75x = 10 + 0.25x
you know that it is perfectly OK to add or subtract the same number to/from both sides of the equation ?
the same for multiplication and division.
the important thing is to do always the same thing to both sides.
1. subtracting 3 from both sides
0.75x = 7 + 0.25x
2. subtracting 0.25x from both sides
0.5x = 7
3. dividing both sides by 0.5
x = 7/0.5 = 7 / 1/2 = 7 × 2/1 = 14
LESSON 5: Rational Numbers LEARNING TASK # 2 Score__________ Name:Joseph Sebastian Usi Section:7-Callalily Direction: Perform the indicated operations. 1.34+914=____221_____________ 2. 16+34=______45___________ 3. 46+418=_________220________ 4. 45-615=2 ________________ 5. 25-36=_________________ 6. 37 x 45=_________________ 7. 58x (-53)=_________________ 8. 3425=_________________ 9. 910÷(-45)=_________________ 10. 367 x 225=_________________
Answer:
1. 221+ 727
2. 45+5
3. 220+ 244
4. 2( -285)
5. (-9)
6. 1665 (multiplying)
7. -3074 (multiplying)
8. 685 *5
9. - 20 2/9
10. 82575 (multiplying)
Step-by-step explanation:
1.34+914=____221_____________
948 = 221+ 727 (subtracting 221 from 948)
2. 16+34=______45___________
50= 45+5 ( adding 5 to 45 to get 50)
3. 46+418=_________220________
464= 220+ 244 ( subtracting 220 from 464)
4. 45-615=2 ________________
- 570 = 2( -285) (dividing -570 by 2)
5. 25-36=_________________ (-9)
-9 = -9 ( subtraction)
6. 37 x 45=_________________ 1665 (multiplying)
7. 58x (-53)=_________________ -3074 (multiplying)
8. 3425=_________________ 685 *5 (dividing by 5)
9. 910÷(-45)=_________________ 182/ (-9) (dividing both by 5)
= - 20 2/9
10. 367 x 225=_________________ 82575 (multiplying)
Seatwork 5, solve for the values of v, w, x, y and z
Answer:
The set of values are described below:
\(v = 25\,cm\), \(w = 25^{\circ}\), \(x = 25^{\circ}\), \(y = 65^{\circ}\) and \(z = 10\,cm\).
Step-by-step explanation:
Since \(\triangle JPO \cong \triangle SMR\), then \(OJ \parallel RS\) and \(OP \parallel RM\). By Alternate Internal Angles, we find that \(\angle R \cong \angle O\). In addition, the sum of internal angles in triangles equals 180°. Then, we have the following system of linear equations:
\(m\angle R + m\angle M + m\angle S = 180^{\circ}\) (1)
\(m \angle O + m \angle P + m\angle J = 180^{\circ}\) (2)
\(m\angle S = 65^{\circ}\) (3)
\(m \angle M = m\angle P = 90^{\circ}\) (4)
The solution of this system is \(m\angle R = 25^{\circ}\), \(m \angle O = 25^{\circ}\) and \(m \angle J = 65^{\circ}\).
Lastly, the remaining sides are found by definition of congruence
Segment RS
Since \(\triangle JPO \cong \triangle SMR\), then \(\overline {RS} \cong \overline {OJ}\). Hence, \(RS = 25\,cm\)
Segment JP
Since \(\triangle JPO \cong \triangle SMR\), then \(\overline{SM} \cong \overline {JP}\). Hence, \(JP = 10\,cm\)
The set of values are described below:
\(v = 25\,cm\), \(w = 25^{\circ}\), \(x = 25^{\circ}\), \(y = 65^{\circ}\) and \(z = 10\,cm\).
HURRY WILL GIVE BRAINLIEST
Answer:-a+5ab+8
Step-by-step explanation:
Leo Gandolfi takes out a short-term loan of $1,800 at 12 percent
for 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is
$612.34. How much does he save by paying off the loan when the next payment is due?
A $6.12
R2 $18.00
C
2,353
SCIO
In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Jan 293 18 311 1,507 16.25%
Feb 296 15 311 1,212 32.67%
Mar 298 12 311 913 49.25%
Apr 301 9 311 612 66.00%
May 304 6 311 308 82.92%
Jun 308 3 311 0 100.00%
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Prove that for all n E N\{0}, n3 + 2n and n4 +3n2 +1 are relatively prime.
Answer:
Two expressions are relatively prime if their greatest common divisor is one.
Given the terms: \(n^3 + 2n$ and n^4 +3n^2 +1\), \(n \in N|\{0\}}\)
\(n^3 + 2n=n(n^2+2)\\n^4 +3n^2 +1$ is not factorizable\\\)
Therefore, the greatest common divisor of the two expressions is 1.
Therefore, for all n in the set of natural numbers, (where n cannot be zero.) The two expressions are relatively prime.
x + x + 1 + 2 = 48?
Step-by-step explanation:
x + x + 3 = 48
2x = 48 - 3
2x = 45
x = 45/2
Answer:
x = 45/2
Step-by-step explanation:
x+x+1+2 = 48
combine like terms
2x + 3 = 48
2x - 3 = -3
2x = 45
2x/2 = 45/2
x = 45/2
EOQ Model
Suppose during your college life, every year you need $5,000 cash to spend in addition to the studying expenses. Each time in need of cash, you decide to go to the bank for that. And the transportation costs you $5 (assumed amount) of going to the bank and coming back. Assume that the current saving/checking link account has an interest rate of 5%. Please find the optimal solution of the amount of cash each time for the withdraw.
The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.
The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:
Let's denote:
C = Annual cash need ($5,000)
T = Transportation cost per visit ($5)
r = Annual interest rate (5%)
To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.
Calculate the optimal order quantity (Q) using the EOQ formula:
Q = √((2 * C * T) / r)
Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.
The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.
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Short Answer
1. What is the domain and range for the parent function of g(x) = x+1?
Answer:
Domain= {XER} Range= {YER}
Step-by-step explanation:
This is a line equation. Lines continue infinitely in both the horizontal direction and vertical direction, so that means that the domain and range are both a set of all real numbers.
I really need help guys
the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983.
Final answer:
The statement that the median net worth of families headed by a person thirty-five to forty years old was 30 percent is a true statement.
In statistics, what does median mean ?In statistics, the median is the value that, when placed in order, falls in the middle of the supplied collection of data. Either ascending or descending order can be used to organize the data or observations. The median of 2,3,4, for instance, is 3. The median is a type of average used to determine the middle value in mathematics. The median is the value that falls in the middle when a group of values are arranged from smallest to greatest. The value that appears the most frequently in the set is the mode. In cases where the distribution is skewed or contains outliers, the median is the most illuminating indicator of central tendency.
Explanation:
The net-worth of families have a drastic change when compared to previous years as the economy has developed and while comparing the net-worth of income between years, the median method is useful in all ways and so the median net worth of families headed by a person thirty-five to forty years old was 30 percent less in 2010 than it was for their counterparts in 1983 is proved to be true.
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