Explicación paso a paso:
Dado
an = n + 3
bn = 5n-1
a) an-bn = n + 3- (5n-1)
= n + 3-5n + 1
= n-5n + 3 + 1
= -4n + 4
an-bn = 4-4n
b) an + 3bn = (n + 3) +3 (5n-1)
= n + 3 + 3 (5n) +3 (-1)
= n + 3 + 15n-3
= n + 15n + 3-3
= 16n + 0
= 16n
an + 3bn = 16n
3) Dado a1 = 1, a2 = 1
an = an-1 + an-2
Debemos escribir los primeros ocho términos de la secuencia.
a3 = a3-1 + a3-2
a3 = a2 + a1
a3 = 1 + 1
a3 = 2
a4 = a3 + a2
a4 = 2 + 1
a4 = 3
a5 = a4 + a3
a5 = 3 + 2
a5 = 5
a6 = a5 + a4
a6 = 5 + 3
a6 = 8
a7 = a6-a5
a7 = 8 + 5
a7 = 13
a8 = a7 + a6
a8 = 13 + 8
a8 = 21
Por tanto, los primeros ocho términos de la secuencia son 1, 1, 2, 3, 5, 8, 13 y 21
8 − (7 − 4) + 12 x 2?
I got 34 but my calculator said that's wrong and its 21 but 21 isn't an answer nor is 34,
are any of these correct?? please help
A 29
B 11
C 14
D 19
Answer:
ok so first we have to do whats in the parethese so
8-3+12*2
then we do multiplycation
8-3+24
then we just do left to right
5+24=29
so a
Hope This Helps!!!
Answer:
A(29)
Step-by-step explanation:
First you do parenthesis.
what is 7 - 4 it=3
Next do 12 x 2 what is 12 x 2 it is 24 but don't do anything with it.
Now we go to subtraction and what is 8 - 3 it is 5.
Finally were going to do 5 + our 12 x 2.
what is 5 + 24 it is 29. And there's your answer.
The order for the is problem is P(parenthesis)
P| parenthesis
E| exponents
M,D| Multiplication and division left to right.
A,S| Addition and subtraction also left to right.
Again
_____
Answer is 29
_______
Hope it helps have a great day:)
Help with anwser 9. Please be serious. Also explain. I’ll give a ton of points.
Answer:
B
Step-by-step explanation:
x1=-6,x2=8
Is 75/3 an integer? thanks
Answer:y
Step-by-step explanation:
The ratio 60:48 simplified
Answer:
5 : 4
Step-by-step explanation:
60 : 48 ( divide each part by 12 )
= 5 : 4 ← in simplest form
Answer:
[tex]5 : 4[/tex]
Step-by-step explanation:
[tex]\frac{60}{12}=\frac{48}{12}[/tex]
[tex]=5 : 4[/tex]
Find the equation of the linear function represented by the table below in slope-intercept form.
x: 0,1,2,3,4
y: -6,4,14,24,34
Answer:
y = 10x - 6
Step-by-step explanation:
If we know the function is linear then we can use any two coordinate pairs to find the slope of the line.
Note that the first pair is (0, -6) and the last pair is (4, 34). The 'run' is from x = 0 to x = 4, a 'run' of 4. The 'rise' is from -6 to34, a 'rise' of 40. Thus, the slope of this line is m = rise / run = 40/4 = 10.
Again using the coordinate pair (0, -6), along with the slope-intercept form of the equation of a straight line, we get:
-6 = 10(0) + b, so we know that b = - 6 and that the equation of this line must therefore be:
y = 10x - 6
The required slope-intercept form of the function is y = 10x - 6.
The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute 2 pairs from the table in the above equation,
m = (4 + 6)/(1-0)
m = 10
Now put the slope and one pair in the slope-intercept form of the equation
y - y₁ = m (x - x₁)
y + 6 = 10(x - 0)
y = 10x - 6
Thus, the required slope-intercept form of the function is y = 10x - 6
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can someone please help i am stuck help ASAP if u know your wrong or not sure please dont answer
solve the following equation for g: 2(g - h)=b + 4
Answer:
The steps to do this :
[tex]2(g - h) = b + 4[/tex]
[tex]g - h = \frac{b + 4}{2} [/tex]
[tex]g = \frac{b + 4}{2} + h[/tex]
[tex]g = \frac{b}{2} + \frac{4}{2} + h[/tex]
[tex]g = \frac{b}{2} + 2 + h[/tex]
2(g - h)=b + 4
Use the distributive property on the left side:
2g - 2h = b +4
Add 2h to both sides:
2g = 2h + b + 4
Divide both sides by 2:
g = (2h + b + 4)/2
Simplify:
g = b/2 + 2 + h ( note the order of h, 2 and b/2 can be different)
Help!!!!!!!!!!!!!!!!!! Help plz!!!
Answer:
5 2/5
Step-by-step explanation:
Thats the answer kiddo.
The school band is going to buy candy bars for $430 and sell them at school for $1.50 each. The band has to raise $1,350 to help pay for a trip. Write and inequality that represents how many candy bars x the band has to sell to make enough money for the trip.
Answer:
x = 900 or 1.50 * x = 1,350 (Though I advise you to use x = 900)
Step-by-step explanation:
Divide 1,350 by 1.50 to see that they need to sell exactly 900 bars. We can fact check by using a calculator to do the equation 1.50 * 900 = 1,350.
PICTURE INCLUDED PLEASE HELP
The bar representing which of the following probabilities on a histogram
would be the highest?
A.
1
10
B.
1
30
O
C.
1
15
O
26
The bar that represents the bar that would be the largest in a histogram would be 2/15.
How to identify the bar that would be largest in a histogram?To identify the bar that would be the largest in a histogram we must take each of the options and perform the division to obtain a decimal number. Once we have all the decimal numbers, we must identify which is the largest of them and thus we will know which one would represent a larger bar in a histogram. Here is the procedure:
1 / 10 = 0.11 / 15 = 0.061 / 30 = 0.032 / 15 = 0.13According to the above, the one that represents a larger bar would be 2 / 15 = 0.13
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Which of the following is an arithmetic sequence?
0, 2, 4, 6, ..
• 1, 4, 8, 13,
O 1, 2, 4, 8, ...
Answer:
0, 2, 4, 6,
Step-by-step explanation:
The common difference is 2, the first term is 0
Find the value of x.
(9x+8)
37°
Answer: 15
Step-by-step explanation: give them brainliest
The cost of a book was raised by 20% and a month later the new price was
lowered by 10% what was the final price of the book of sh.600
Answer:
$6000.00
Step-by-step explanation:
1. Create an Equation
y/100x(20-10)=600
2. Solve
y/100x(20-10)=600
y/100x10=600
y/100x100x10=600x100
y x 10=60000
10y/10=60000/10
y=6000
3. Check
6000/100x(20-10)=600
60x(20-10)=600
60x10=600
600=600
Correct!
4. Answer
$6000.00
help me with this please
Answer:
m(arc)PM = 139°
Step-by-step explanation:
m<N = (1/2)[m(arc)PM - m(arc)OM]
59 = (1/2)[m(arc)PM - 21]
118 = m(arc)PM - 21
m(arc)PM = 139°
Choose the slope-intercept form of y + 3 = 4(x – 5).
Answer:
y=4x-23
Step-by-step explanation:
y+3=4(x-5)
y+3=4x-20
y=4x-20-3
y=4x-23
In a certain instant lottery game, the chances of a win are stated as "3 in 22 "Express the indicated degree of likelihood as a probability value between 0 and 1
Answer:
I`m not sure if it is asking for a fraction probability for decimal probability so I have both answers...
3/22 is the fraction form, since it cant be simplified
3 / 22 = .136
so that number rounded is .14
aka 14% chance of winning
A math test is made up of 7 problems each worth 10 points. There is no partial credit. Every test taker receives 30 points for taking the test. Enter a function to describe the test score determined by the number of correct answers. Then, graph the function.
f(x)=_____
Answer:F(x) = 10x+30
Step-by-step explanation:
X=3
The function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.
What is the linear equation in two variable?An equation is said to be linear equation in two variables if it is written in the form of ax + by + c=0, where a, b & c are real numbers and the coefficients of x and y, i.e. a and b respectively, are not equal to zero.
According to the given question
We have
Total number of problems in a math test = 7
Total points given to each problem if it is correct = 10
Every text taker receives points for taking a test = 30
Let x represents number of correct answers given by the test taker and f(x) be the total score earned by the test taker.
Now, the function or linear equation in two variable which represent the given scenario is
f(x) = 30 + 10x
Hence, the function which represents the test score determined by the number of correct answers is f(x) = 30 + 10x.
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Order from least to greatest 1/5, 5/9, 1/2, 5/12
Answer:
1/5, 5/12, 1/2, 5/9
Step-by-step explanation:
Answer:
1/5, 5/12, 1/2, 5/9
Step-by-step explanation:
This should be the ans
Among 320 randomly selected airline travelers, the mean number of hours spent travelling per year is 24 hours and the standard deviation is 2.9. what is the margin of error, assuming a 90% confidence level? round your answer to the nearest tenth.
Answer:
Step-by-step explanation:
0.3
A. greater than 0.3
The Margin of error is 0.3 when assuming a 90% confidence level.
What is the margin of error(MOE)?It is defined as an error that gives an idea about the percentage of errors that exist in the real statistical data.
The formula for finding the MOE:
MOE = z score * s/√n
Where is the z score at the confidence interval
s is the standard deviation
n is the number of samples.
here, we have,
It is given that among 320 randomly selected airline travelers, the mean number of hours spent traveling per year is 24 hours and the standard deviation is 2.9.
It is required to find the margin of error when the confidence level is 90%.
We have in the question:
at 90% confidence interval = 1.645 (From the Z score table)
s = 2.9
n = 320
Put the above values in the formula, we get:
MOE = 0.2666
Rounding the nearest tenth:
MOE = 0.3
Thus, The Margin of error is 0.3 when assuming a 90% confidence level.
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Is number nine the difference of two squares or is it a perfect square trinomial
Answer:
Step-by-step explanation:
x^2 - 64 is the same as x^2 - 8^2 and is "the difference of two squares."
Hey there!
9) Answer: D. :---- (x +8)(x-8)
10) Answer: P. :------(x-2y)^2
11) Answer: D. :-----(2a+3b)*(2a-3b)
12) Answer: P. :-----(a+4b)^2
13) Answer: P. :-----(x-3)^2
14) Answer:. D. :----(5xy+9z)*(5xy-9z)
15) Answer: P. :-----(2a+1)^2
16)Answer: D. :---(4ab+5)*(4ab-5)
Find the value of the angle θ rounded to 1 DP.
Help asap
Use the GCF and the distributive property to find the expression that is
equivalent to 48 + 56.
A. 8(6+7)
B. 4(12 + 14)
C. 12(4+5)
D. 6(8 + 9)
Answer:
It is either A or B because 48+56 equal 104 and A and B Both equal 104
Two boxes are shown below. The length and height of box 2 are double the length and height of box 1, and the widths are the same. The volume of box 1 is 252 cubic inches.What is the volume of box 2?
he width of a rectangular box is twice the height and the length is 7 inches more than the height. If the volume is 72 cubic inches
your welcome
have a good day or night
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP
Answer: (0, 6)
Step-by-step explanation:
Find the length of lm
Answer:
The answer is C:41
Step-by-step explanation:
you have to set 6x-7 equal to 5x-1 which equals x=8 which now you replace x in 6x-7 with 8 which makes the equation 6(8)-7 which equals 41.
Answer:
Since M is the midpoint that means that LM is equal to MN so therefore
6x-7=5x+1
-5x from both sides
x-7=1
add 7 to both sides
x=8
then you substutie 8 for x in 6x-7
6(8)-7
solve!
41 - C
Hope this helps!
Jason had $6 in his lunch account at school on Monday. He spent $2 on lunch on Tuesday, deposited $7 on Wednesday and brought lunch from home. He bought lunch on Thursday for $5 and on Friday, he bought lunch again for $4. How much does Jason have on Friday AFTER he bought lunch?
Answer:
$2
Step-by-step explanation:
Credits:
Jason initial amount in his account = $6
Amount deposited for the week = $7
Total credit = $7+$6
Total credit = $13
Debit:
Cost of lunch bought on Tuesday = $2
Cost of lunch bought on Thursday = $5
Cost of lunch bought on Friday = $4
Total cost of lunch for the week = $2+$5+$4 = $11
Amount debited = $11
Balance left after he bought lunch on Friday = amount credited - amount debited
Balance = $13-$11
Balance = $2
Hence Jason had $2 balance left after buying his Friday lunch.
please can anyone help
Answer:
Reflect the triangle horizontally, with y = 1 as line of symmetry
Circle A has a diameter of 8 inches, a circumference of 25.12 inches, and an area of 50.24 square inches. The diameter of circle B is 3 inches, the circumference is 9.42 inches, and the area is 7.065 square inches.
Part A: Using the formula for circumference, solve for the value of pi for each circle. (4 points)
Part B: Use the formula for area and solve for the value of pi for each circle. (4 points)
Part C: What observation can you make about the value of pi for circles A and B? (2 points)
The value of pi is about 3.14, and it is the same when using both the area and circumference.
How to calculate circumference?The circumference is given by:
Circumference = π * diameter
For circle A:
25.12 = π * 8
π = 3.14
For circle B:
9.42 = π * 3
π = 3.14
The area is :
Area = π * diameter² / 4
For circle A:
50.24 = π * (8²)/4
π = 3.14
For circle B:
7.065 = π * (3²)/4
π = 3.14
The value of pi is about 3.14, and it is the same when using both the area and circumference.
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Rewrite 48 + 60 using the distributive property. but in the equation form
Jim just found a job with a take-home pay of $1,950 per month. He must pay $1,200 for rent and $200 for groceries each month. He also spends $200 per month on transportation. If he budgets $50 each month for clothing, $100 for restaurants and $50 for everything else, how long will it take him to put together emergency savings of $1,500?
Add all his expenses together:
1200 + 200 + 200 + 50 + 100 + 50 = $1,800
Subtract his expenses from his pay:
1950 - 1800 = 150
Divide how much the emergency savings is by the amount left over per month:
1500/150 = 10
it will take 10 months
Write the equation of the line that passes through the given point and has the given slope. (-4,1)
slope = -1/4
Answer:
[tex]_{\text{point-slope form}}[/tex]
[tex]\huge\boxed{y-1=-\dfrac{1}{4}(x+4)}[/tex]
[tex]_{\text{slope-intercept form}}[/tex]
[tex]\huge\boxed{y=-\dfrac{1}{4}x}[/tex]
Step-by-step explanation:
The point-slope form of an equation of a line:
[tex]y-y_1=m(x-x_1)[/tex]
where
[tex]m[/tex] - a slope
[tex](x_1 y_1)[/tex] - a point of a line
We have
[tex]m=-\dfrac{1}{4};\ (-4;\ 1)\to x_1=-4;\ y_1=1[/tex]
Substitute:
[tex]y-1=-\dfrac{1}{4}(x-(-4))\\\\y-1=-\dfrac{1}{4}(x+4)[/tex]
=============================================
[tex]y-1=-\dfrac{1}{4}(x+4)\qquad|\text{use the distributive property}\\\\y-1=-\dfrac{1}{4}x-1\qquad|\text{add 1 to both sides}\\\\y=-\dfrac{1}{4}x[/tex]