Answer:
$3800
Step-by-step explanation:
If the ratio between sales and commission is 5:1, we can find that commission for February was 560. 560+200 is 760 and 760*5=3800
What is the nth term rule of the quadratic sequence below?
-4,-3,0,5, 12, 21, 32,...
I need help quick!!
Answer:
The nth term = n^2 - 2n - 3.
Step-by-step explanation:
Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c
Example 1
Write down the nth term of this quadratic number sequence.
-3, 8, 23, 42, 65...
Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.
Sequence = -3, 8, 23, 42, 65
1st difference = 11,15,19,23
2nd difference = 4,4,4,4
Step 2: If you divide the second difference by 2, you will get the value of a.
4 ÷ 2 = 2
So the first term of the nth term is 2n²
Step 3: Next, substitute the number 1 to 5 into 2n².
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
2n² = 2,8,18,32,50
Differences = -5,0,5,10,15
Now the nth term of these differences (-5,0,5,10,15) is 5n -10.
So b = 5 and c = -10.
Step 5: Write down your final answer in the form an² + bn + c.
2n² + 5n -10
Example 2
Write down the nth term of this quadratic number sequence.
9, 28, 57, 96, 145...
Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.
Sequence = 9, 28, 57, 96, 145...
1st differences = 19,29,39,49
2nd differences = 10,10,10
Step 2: If you divide the second difference by 2, you will get the value of a.
10 ÷ 2 = 5
So the first term of the nth term is 5n²
Step 3: Next, substitute the number 1 to 5 into 5n².
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.
n = 1,2,3,4,5
5n² = 5,20,45,80,125
Differences = 4,8,12,16,20
Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.
Step 5: Write down your final answer in the form an² + bn + c.
5n² + 4n
find the length of segment AB
Answer:
35
hope this helps you!!
if mai runs 21 labs at the same rate ( 4 minutes ), how long does it take her ?
simplify this addition 2m+3m+(-6m)
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)=2m+3m-6m
=5m-6m
=-m
Answer:
-m
Step-by-step explanation:
2m+3m+(-6m)
Remove parentheses.
2m+3m-6m
Add and subtract.
-1m or -m
Hope this helps :)
anybody know this at all?
Answer:
perimeter = 4x³ + 3x² + 2
Step-by-step explanation:
perimeter = sum of the lengths of the sides
perimeter = 2x³ + 3x³ - x² - x³ + 4x² + 2
perimeter = 4x³ + 3x² + 2
Juan joins a movie club. He pays $10 to join and each movie costs $5. Which equation represents the relationship between the total cost, y, and the number of movies, x?
Graph the equation and identify the intercept(s). If the equation is linear, find the slope of the line.
4. 2x - 3y = 6
5. y = 4.5
6. y = | x - 1 | -2
Answer:
Graphs shown below.
4.) x-intercept: (3,0) y-intercept: (0,-2) slope: 2/3
5.) x-intercept: none y-intercept: (0,4.5) slope:0
6.) x-intercept: (3,0) and (-1,0) y-intercept: (0,-1) slope: none
#4 is blue graph, #5 is green graph, #6 is red graph
Step-by-step explanation:
** #4 is blue graph, #5 is green graph, #6 is red graph **
PLEASE HELP!!
Rewrite the equation to represent the resistance of resistor 2, R2, in terms of RT and R1; see image below :
Rewriting the equation, it is found that the resistance [tex]R_2[/tex] is given by:
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
The equation given for [tex]R_T[/tex] as function of [tex]R_1[/tex] and [tex]R_2[/tex] is:
[tex]R_T = \frac{R_1R_2}{R_1+R_2}[/tex]
Applying cross multiplication:
[tex]R_TR_1 + R_TR_2 = R_1R_2[/tex]
[tex]R_1R_2 - R_TR_2 = R_TR_1[/tex]
[tex]R_2(R_1 - R_T) = R_TR_1[/tex]
[tex]R_2 = \frac{R_TR_1}{R_1 - R_T}[/tex]
A similar problem is given at https://brainly.com/question/24272167
w+(−2.8)=4.3 whats the answer
Answer:
w=7.1
Step-by-step explanation:
Answer:
w=7.1
Alternate form
w= [tex]\frac{71}{10}[/tex] , w= 7[tex]\frac{1}{10}[/tex]
2x - 3y = -24 solve for y
x + 6y = 18 solve for x when y= 2
I need the answer
01.
2x-3y=-24
-3y=-2x-24
3y=2x+24
y=(2x+24)/3
02.
x+(6*2)=18
x=18-12
x=6
Answer: y = 2/ 3 x+8, and x = 6
Step-by-step explanation: 2x−3y+−2x=−24+−2x −3y /−3 = −2x−24 /−3 y = 2/ 3 x+8 x+(6)(2) = 18 x+12+(-12) = 18+-12 x = 6
If 40 hours is a full work week and any thing over 40 is overtime or time and a half. If u worked 50 hours one week, and 55 hours the second week how much would ur pay check be
Assuming u make 15 dollars a hour for normal pay?
Answer:
first week would be $750 second week would be $825
If your pay is every two weeks it would be $1575
Step-by-step explanation:
please i really need help
The perimeter of each shape is 3 units? True or False?
Dan was thinking of a number. Dan doubles it and adds 0.8 to get an answer of 58.9. Form an equation with
x
from the information.
Answer:
2x + .8 = 58.9
His number, x, is 29.05
Step-by-step explanation:
2x + .8 = 58.9
2x = 58.1
x = 29.05
given f(x) and g(x) = f(x) + k, use the graph to determine the value of k.
PLEASE HELP
Answer:
k=5
Step-by-step explanation:
The graph of g(x) is raised by 5 units so k is 5
help please nfvribwibfvwbifvibbiurw
Answer: A, D, E
Step-by-step explanation:
Select the correct answer.
Which equation has a unit rate greater than the unit rate of the relationship shown in the graph?
7
5
3
3
9
( DISCUSSION TOPIC )
NEED WITHIN 10 MINUTES!!!!
Up to this point, the only types of numbers you've seen have been rational numbers.You can write any rational number as a fraction.
The prefix ir- means not.
What do you think it means for a number to be irrational?
Can you think of any numbers that are irrational?
Answer:
A number that is irrational are numbers that cannot be expressed as a terminating or repeating decimals or in the form (a/b) where a and b are integer and b does NOT equal 0.
An example of an irration number is the square root of 10, or pie because it is a infinited number
I hope this helps!
Answer:
the irrational is kind of a part
of the math that includes rational and
irrational numbers
The results of a survey about favorite lunch choices are shown.
Which lunch was chosen most often? : Please help!! here’s the chart btw —>
Answer:
Grilled cheese 1/10
Step-by-step explanation:
If you divide the rest of the fractions you get decimals and since 1/10 is still 10 grilled cheese is the favour lunch
Let z = 8 – 3i, and z2 = a + bi. What are the values of a and b?
The values of a and b from the given complex numbers is 8 and -3 respectively.
The standard form of representing complex number is expressed as z = x + iy
Given the complex numbers z = 8 – 3i, and z2 = a + bi
To get the values of a and b, we need to compare both expressions as shown:
For the real part;
a = 8
For the imaginary part:
-3i = bi
-3 = b
Swap
b = -3
Hence the values of a and b from the given complex numbers is 8 and -3 respectively.
Learn more about complex numbers here: https://brainly.com/question/12375854
Write using a fractional exponent.
Answer:
a number with a fractional exponent or power or index is the same as the denomination's root the whole number power the numerator
therefore the denominator will be three and numerator will be one
x²×⅓= x⅔
PLZZZZZZZZZZZ HELP 1000 POINTS AND BRAINLIEST
Answer:
you would have to subtract the points a and b to get question a. And for c, you would have to mark it on a graph in order for it to show. I am pretty sure this is how you do it. Sorry I tried my best, plz don't come at me if it is wrong.
Step-by-step explanation:
Answer:
you need to subtract the points a and b to get the question a. for c, you need to mark it on a graph in order for it to show. I sure this is how you do it
i tried my best
hope it helps
An item is originally priced at $68.89. It is on sale for 42 percent of the original price. Which is an estimate of the sale price?
Answer:
The answer is $28.93.
Step-by-step explanation:
Using the butterfly method I got $28.93 as my answer.
$68.89 x 42%= $2,893.38
$2,893.38÷100%= $28.9338
$28.9338 rounded to the nearest hundredth is $28.93. I hope this helps.
Answer:
answer is D.
68.89 x .42= $28
Step-by-step explanation:
to get your answer you multiply the numbers.
$68.89 x .42 = $28
your answer is $28.
hope this helps!
please make me brainliest !
14.
Jan spent 3 hours doing homework last week.
She spent 5 hours doing homework this week.
How many more hours did Jan spend on homework
this week than last week?
A. 1 hour
B. 1 hour
D. 11 hours
C. 14 hours
Answer:
D. [tex]\mathrm{1\frac{1}{2}\:hours}[/tex]
Step-by-step explanation:
As it asks how many more, it means plus, plus means addition. So, let find the difference between the two fractions.
This week should be at first, and last week should be after the minus sign.
[tex]5\frac{1}{4} - 3\frac{3}{4}[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fraction}[/tex]
[tex]5\frac{1}{4} = 4\times5=20+1=21\\\\\frac{21}{4} \\\\3\frac{3}{4} = 4\times3=12+3=15\\\\\frac{15}{4}[/tex]
[tex]\frac{21}{4} - \frac{15}{4}[/tex]
[tex]\mathrm{Subtract\: the\: numerators,\: not \:the \:denominators.}[/tex]
[tex]\frac{21}{4} - \frac{15}{4}\\\\21-15=6[/tex]
[tex]\frac{6}{4} \\\\\mathrm{\underline{Simplify:}}\: \bold{1\frac{1}{2}}[/tex]
How does the equation change when the radius changes? Unlike h and k, why is r always positive?
Answer:
When the radius is changed, the constant term (r2) in the equation changes—it becomes bigger as the radius becomes bigger. The term r is always positive because it denotes the length of the radius, which is a distance and not a position or location.
Step-by-step explanation:
What is the measurement of this angle?
Answer:
54°
Step-by-step explanation:
All the angle measures of a triangle must add up to equal 180°. So,
59°+67°+x°=180°
x=54°
I need help with this question;(
Answer:
J
Step-by-step explanation:
Monica deposits $300 into a savings account that pays a simple interest rate of 3.9%. Paul deposits 400$ into a savings account that pays a simple interest rate of 3.2%. Monica says that she will earn more interest in 1 year because her interest rate is higher. Is she correct? Justify your response.
Answer:
For Monica : Principle = $300 rate : 3.4% time 1 yr
Simple interest = Prt/100 = 300*3.4*1/100 = 1020/100= $ 10.2
For Paul : Principle = $400 rate : 2.8% time 1 yr
Simple interest = Prt/100 = 400*2.8*1/100 = 1120/100= $ 11.2
Step-by-step explanation:
A math class consists of 20 female students and 12 male students. Two students are selected at
random to participate in a probability experiment. Compute the following probabilities. Write your
answers in decimal form. Round to the nearest thousandth as needed.
a. A male is selected, then a female.
b. A female is selected, then a male.
5
c. Two males are selected.
d. Two females are selected.
s
e. No males are selected.
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Calculator
Check Answer
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Yeah
Answer:
b
Step-by-step explanation:
lacie is making bracelets. if each has 11 beads, and each bead has 2 colors, red and green, how many different bracelets can lacie make if the bracelet can be rotated without losing its uniqueness but cant be flipped
Answer:24
Step-by-step explanation:
please help..
Evaluate
10 % of 9900
Answer:
990
Step-by-step explanation:
9900 * 10/100
= 990
Hello there!
First, divide by 100:
99
Now, multiply by 10:
990 is the answer.
Hope it helps!
~Just a determined gal
#CarryOnLearning
[tex]MysteriousNature[/tex]