The recursive formula that could be used for measuring the total amount of money is f(n+1)=f(n)+20.
Given that,
The electrician earns $110.And, the sequence should be 110, 130, 150, 170, and so on. Here we assume that f(x) represent pay. And, x be the number of hours worked.Based on the above information, we can see that there are 20 increments in every next number.
So, the equation should be f(n+1)=f(n)+20
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Twice the number n is no less than 10 units from -1
The mathematical equation 'Twice the number n is no less than 10 units from -1' can be solved as two inequalities, yielding a solution of n ≤ -5.5 or n >= 4.5.
Explanation:This is a math problem asking about the absolute value inequality of an equation. The question states 'Twice the number n is no less than 10 units from -1'. This can be written as |2n + 1| >= 10. To solve it, we'll divide it into two inequalities: 2n + 1 >= 10 and -2n - 1 >= 10. Solving the first inequality yields n >= 4.5, and solving the second inequality yields n <= -5.5. Thus, the solution to the equation is n ≤ -5.5 or n >= 4.5.
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The average value of a given set of data is the mode.
True or False
For this case we have that by definition:
Mode: it is the value most frequently in a data distribution. This means that mode is the most repeated data in a sample or study. Mean: is the average of the data which can be found by adding all the numbers and then dividing by the number of values in the set.Answer:
False. The average value of a given set of dates is the mean.
Ali currently has $25. He is going to start saving $5 every week.
Which equation represents this situation?
y = 25x – 5
y = 5x + 25
y = 25x + 5
y = 5x – 25
Which of the following describes the correct process for solving the equation 3x + 6 = 21 and arrives at the correct solution? Divide both sides by 6 and then add 3. The solution is x = 5. Add 6 to both sides of the equation and then divide by 3. The solution is x = 9. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 8. Subtract 6 from both sides of the equation and then divide by 3. The solution is x = 5.
Write the point-slope form of the equation of the line with a slope of - 2 and an x-intercept of - 1. Include your work in your final answer.
Please helps and show how.
Answer:
y= -2x-2
Step-by-step explanation:
point slope- y=mx+b
y-y1=m(x-x1)
you have the point (-1,0) and you have to use (x1, y1)
your slope is -2
Substitute
y-0= -2(x +1)
Distribute
y-0=-2x-2
+0 +0
y= -2x-2
ABCD is a rectangle. The length of BD is 8 units, and m angle ABD is 67°. The length of AC is units, and m angle CDB is °.
Answer:
cbd is 23 degrees
Step-by-step explanation:
What is the measure of angle S?
132 + 56 + 79 = 267
360 - 267 = 93
answer is 93 degrees
Victor is walking at a rate of 1 mile every 17 minutes. sarah is walking at a rate of 1 mile every 14 minutes. if they are 10 miles apart and are approaching each other along a straight road, how many hours will it take them to meet, rounded to the nearest hundredth?
Which mathematical property is demonstrated?
If w = - 8 and - 8 = u, then w = u.
Question 4 options:
symmetric property of equality
transitive property of equality
closure property of addition
closure property of multiplication
4(-3)(15/3)
20 points
is -2.75 greater than -2.5 please explain your answer
The circumference of a circle is 25.12 yards. What is the radius of the circle?
what is 100/6 as a decimal
For what values of x is the quantity x−9 negative?
The value of x is the quantity x−9 negative would be negative for all values of x less than 9.
What is algebra?Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.
What is inequality?
Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
To determine the values of x is the quantity x−9 negative
As per the given condition, translate the phrase into an algebraic expression:
⇒ x - 9 < 0
Add 9 to both sides of the inequality,
⇒ x - 9 + 9 < 9
⇒ x < 9
So x - 9 is negative for all values of x less than 9.
Hence, the value of x is the quantity x−9 negative would be negative for all values of x less than 9.
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Fred's frog jumped 7 times as far as al's frog. The two frogs jumped a total of 56 inches. How far did Fred's frog jump?
You are making identical gift bags using 24 candles and 36 bottles of lotion .what is the greatest number of gift bags you can make with no items left over. Show your work
Answer: 12
Step-by-step explanation:
Given : You are making identical gift bags using 24 candles and 36 bottles of lotion .
Then, the greatest number of gift bags you can make with no items left over= greatest common factor of 24 and 36
Prime factorization of 24 and 36 :_
[tex]24=2\times2\times2\times3\\\\ 36=2\times2\times3\times3[/tex]
GCF(24 , 36)= [tex]2\times2\times3=12[/tex]
Hence, the greatest number of gift bags you can make with no items left over =12
A plumber finished there jobs on Tuesday. The first two only cost the owner the $45 trip fee because they book very little to complete. For the third job, the plumber charged the trip fee plus 6 times his hourly rate. If the plumber received a total of $303 for the day, what is the hourly rate
The total amount of money in cents in 3x nickels 4x dimes and 3x quarters
1.30 or 130
Step-by-step explanation:
34 POINTS Someone please help me all i need is the answers please answer like this
for example lets says the answer for number one is 5 please write
1\ 5
PLEASE ANSWER ALL 1-13
I DO NOT NEED WORK JUST ANSWERS
you must rewrite into numbers
for example
5 less then 50
write: 3\ 5-50 (INSERT ANSWER HERE)
Answer:
1. x-5=2 7
2. 6+x=9 3
3. 10=4+x 6
4. 1/2(x-2)=3 2
5. 3x=5+x 2 1/2
6. 2x+4=6 1
7. 8=2x-5 6 1/2
8. x+3/2=7 5 1/2
9. x+4=10 6
10. 9=5x-3x 4 1/2
11. 12=3x-4 5 1/3
12. 2(x+1)=12 5
13. 2x-3/2x=2 1
I hope this helps!
If m is the midpoint of pq, what is the relationship between pm and pq
Midpoint, as the word suggests, means the point which lies in the middle of something. If m is the midpoint of PQ then PM will be half of PQ.
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. The midpoint of a line segment means a point that lies in the mid of the given line segment.
Given that m is the midpoint of PQ. Therefore, it will divide PQ into two equal parts. Therefore, we can write,
PQ = PM + MQ
But since PM = MQ,
PQ = PM + PM
PQ = 2 PM
PM = PQ/2
Hence, if m is the midpoint of PQ then the relationship between PM and PQ will be half of PQ.
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If ab= 37 and xy =1/37, what is the value of the product x x b x y x a
In this case, we are simply asked to find for the value of:
xbya or abxy
Since we know that given values of ab and xy, therefore abxy is:
abxy = 37 * (1 / 37)
abxy = 37 / 37
abxy = 1
On a town map, each unit of the coordinate plane represents 1 mile. three branches of a bank are located at a(−3, 1), b(2, 4), and c(4, −2). a bank employee drives from branch a to branch b and then drives halfway to branch c before getting stuck in traffic. what is the minimum total distance the employee may have driven before getting stuck in traffic? round to the nearest tenth of a mile if necessary. answer
To compute for distance from a to b:
Distance A = 4 miles, base of triangle formed between a and b
Distance B = 3 miles, height of triangle formed between a and b
Distance AB = (A^2 + B^2)^0.5 hypotenuse of triangle formed between a and b, or square root of (A^2 + B^2)
Distance AB = ((4)^2 + (3)^2)^0.5
Distance AB = (16 + 9)^0.5
Distance AB = (25)^0.5
Distance AB = 5 miles
To compute for distance from b to where bank employee got stuck
BC = distance from b to c
BC = 4 miles
Total distance driven by bank employee
= AB + 0.5(BC)
= 5 + 0.5(4)
= 5 + 2
= 7 miles, total distance driven by the bank employee
Answer:
The minimum total distance the employee may have driven before getting stuck in traffic is 9.0 miles.
Step-by-step explanation:
Given information: a(−3, 1), b(2, 4), and c(4, −2).
On a town map, each unit of the coordinate plane represents 1 mile.
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Distance between bank a and bank b is
[tex]ab=\sqrt{(2-(-3))^2+(4-1)^2}[/tex]
[tex]ab=\sqrt{(5))^2+(3)^2}[/tex]
[tex]ab=\sqrt{25+9}[/tex]
[tex]ab=\sqrt{34}[/tex]
Distance between bank b and bank c is
[tex]bc=\sqrt{(4-2)^2+(-2-4)^2}[/tex]
[tex]bc=\sqrt{(2)^2+(-6)^2}[/tex]
[tex]bc=\sqrt{4+36}[/tex]
[tex]bc=\sqrt{40}[/tex]
[tex]bc=2\sqrt{10}[/tex]
A bank employee drives from branch a to branch b and then drives halfway to branch c before getting stuck in traffic. It means total distance employee may have driven before getting stuck in traffic is
[tex]Distance=ab+\frac{1}{2}bc[/tex]
[tex]Distance=\sqrt{34}+\frac{1}{2}(2\sqrt{10})[/tex]
[tex]Distance=\sqrt{34}+\sqrt{10}[/tex]
[tex]Distance=8.99323[/tex]
[tex]Distance\approx 9.0[/tex]
Therefore the minimum total distance the employee may have driven before getting stuck in traffic is 9.0 miles.
1) if the sum of two prime numbers is divisible by 7 and is a perfect square, what is a possible product of these numbers?
2) If it takes 5 pipes 2 hours to fill 2 pools and they output water at the same rate, how many hours will it take 1 pipeto fill 1 pool?
3) On a test with 30 questions, Ron got 6 questions wrong. What is his score expressed as a percentage?
4)35 percent of a class voted to go to the museum. If 7 students chose to go to the museum, how many students are there in the class?
5)Katie is 2 years younger than her brother. In 12 years, her brother will be twice as old as she is now. How old is Katie?
1) There are no prime numbers whose sum is divisible by 7 and is a perfect square.
2) 1 pipe will take 2 hours to fill 1 pool, as it fills at the same rate as all 5 pipes combined.
3) Ron's score is 20%.
4) There are 20 students in the class.
5) Katie is 14 years old.
Let's evaluate each of the statements you provided:
1) The sum of 2 prime numbers is ALWAYS even, so if x and y are prime numbers, then (x+y)/7 = z².
In this case either x = 2 or y = 5 (or vice versa). This is the only possibility to be divisible by 7.
Then (5+2)/7 = 1² = 1.
The first part is correct; the sum of two prime numbers is always even. However, the statement about (x+y)/7 = z² doesn't hold true for all prime numbers. It might work for the specific values of x and y you mentioned, but it's not a general rule.
5 pipes → 2 hours → 2 pools, then 1 pipe takes (5x2) 10 hours to fill 2 pools, or 1 pipe takes (10/2) 5 hours to fill 1 pool.
This is a correct interpretation of the information provided. If 5 pipes can fill 2 pools in 2 hours, then each pipe alone takes 10 hours to fill 2 pools, or 5 hours to fill 1 pool.
It's 6/30 = 0.2 or 20%.
Correct, 6/30 simplifies to 0.2, which is equivalent to 20%.
35% represents 7 students, and 100% of the class represents x students. Therefore, 35%/7 = 100%/x. Cross-multiplying, we get 0.35x = 7, and x = 7/0.35, which simplifies to x = 20 students.
Let K be the age of Katie, and B her brother's age. K + 2 = B (Today). In 12 years, B+12 will be twice K (remember K = B-2):
B+12 = 2(K) OR B+12 = 2(B-2)
B+12 = 2(B-2)
B+12 = 2B - 4
12 + 4 = B, and B = 16. If the brother is 16, then Kate is 14.
The calculations and logic are correct. If Katie's brother is 16, then Katie is indeed 14 years old.
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Help! I'm not sure how you would graph x = -6. There's no other information available for this question.
How can you find the measure of a distance that you cannot measure directly?
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(5, 1), B(7,1) C(7, 6), and D(5, 6). What is the perimeter of rectangle ABCD?
The perimeter of the rectangle ABCD is 14 units after using the distance formula.
What is a rectangle?It is defined as the two-dimensional geometry in which the angle between the adjacent sides is 90 degrees. It is a type of quadrilateral.
The area of a rectangle can be calculated using the following formula:
Rectangle area = length x width
The missing figure is in the picture, please attached to the picture.
We have:
Rectangle ABCD is graphed in the coordinate plane.
As we know,
The distance formula: it can be defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
After using the distance formula:
The perimeter of the rectangle = AB + BC + CD + DA
The perimeter of the rectangle = 2 + 5 + 2 + 5
The perimeter of the rectangle = 14 units
Thus, the perimeter of the rectangle ABCD is 14 units after using the distance formula.
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The measure of the vertex angle in an isosceles triangle is six less than four time the measure of the base angle. find the measure of the vertex angle
20 point question!!! Please help me! Number 4.
Enter an inequality that represents the graph in the box.
PLEASE HELP ME!
its actually y=>3x-1 because it's shaded below the line.
below the line: < or <=
above the line: > or>=
What is the slope-intercept form of a linear equation? explain why this form is called the slope-intercept form?
Answer: The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x: y = a + bx. b is the slope. a is a constant term. It is the y intercept, the place where the line crosses the y axis.
Hope this helps:)