Answer:
The nth term is: [tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
a40 = 10
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms is always the same, and this difference is called common difference.
The nth term of a sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term and d is the common difference.
1/4,1/2
This means that:
[tex]d = \frac{1}{2} - \frac{1}{4} = \frac{2}{4} - \frac{1}{4} = \frac{1}{4}[/tex]
1/4
This means that [tex]a_1 = \frac{1}{4}[/tex]
The nth term is:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]a_n = \frac{1}{4} + \frac{1}{4}(n-1)[/tex]
Then find a40.
[tex]a_{40} = \frac{1}{4} + \frac{1}{4}(40-1) = \frac{1}{4} + \frac{39}{4} = \frac{40}{4} = 10[/tex]
So
a40 = 10
determine the point-slope form of the line with slope -7 that intersects the point (5,23)
Answer:
y=-7x+58
Step-by-step explanation:
Plz help me well mark brainliest if you are correct!!
THE ANSWER CHOICE FOR D. 15 BUT HELP PLEASE
Answer:
60
Step-by-step explanation:
Find the surface area of the regular pyramid to the nearest tenth
Answer:
668.17
Step-by-step explanation:
Solve each system.
3x – y = 5
4x – 2y = 4
Answer:
x = 3
y = 4
Step-by-step explanation:
y = 3x -5
4x - 2(3x-5) = 4
4x - 6x + 10 = 4
-2x = -6
x = 3
y = 4
If the measure lf 2 is 83, what is the measure of 3?
Answer: 97
Step-by-step explanation:
2 and 3 form a supplementary angel, so the sum of the angles should equal 180
BRAINLIEST IF YOUR RIGHT THANKS
Answer:
[tex]1st \: = 16.3pints \: \\ 2nd \: = 23.7pints \\ \\ [/tex]
Hi I need ur help! (And this is the other one if you saw my last question)
Answer:
Hi gimmie brainly
thanks
An initial amount of money is placed in an account at an interest rate of 3% per year, compounded continuously. After six years, there is $1819.77 in the account. Find the initial amount placed in the account. Round your answer to the nearest cent.
Hi
Let's call X the amount in the beginning.
we have X*1.03^6 = 1819.77
X = 1819.77 / 1.03^6
X ≈ 1524.03
Which of the following rules best describes the matrix below
a. dilation of scale factor 2
b. reflection over the y-axis
c. reflection over the line y = x
d. translation 1 unit left and 1 unit up
Answer: D
Step-by-step explanation:
d. translation 1 unit left & 1 unit up
right on edg
You owe $1456.32 on a credit card with a limit of $3500 what is your debt ratio?
A. 40%
B. 43.4%
C. 35%
D. 41.6%
Which statement best describes the association?
A.
The data shows a negative association with a trend line of y = -2x + 3
B.
The data shows a negative association with a trend line of y = -2x – 3.
C.
The data shows a positive association with a trend line of y =
x
2
+ 3
D.
The data shows a positive association with a trend line of y = 2x – 3
Answer:
c the data shows positive associations with trend line
Find the sum: (7b
-4) + (-2b+1).
Answer:
=5b-3
Step-by-step explanation:
(7b -4) + (-2b+1).
Remove parenthesis;
7b-4+-2b+1
Group like terms;
=7b-2b-4+1
Add similar element
7b-2b=5b
=5b-4+1
Add/subtract the numbers
=5b-3
Answered by the ONE & Only #QUEEN herself aka #DRIPPQUEENMO
HOPE THIS HELPED!!!
In July, a new endoscopy and electrophysiological lab are opening up. It is projected 60 endoscopies and 5 EP studies will be performed daily. Based on preliminary work sampling to determine the time it will take to code these types of cases; it will take 5 minutes per endoscopy and 15 minutes per EP study. Calculate number of FTE needed to be hired to cover additional procedures per 7.5 hour day
Answer:
The number of FTE needed to be hired to cover the additional procedures per 7.5 day work is:
= 1.
Step-by-step explanation:
a) Data and Calculations:
Endoscopies EP Studies Total
Projected number of studies 60 5 65
Time in minutes for per study 5 15
Total time required (in minutes) 300 75 375
Full-time Employee (FTE) works 7.5-hour day or 450 minutes (7.5 * 60) per day.
b)The number of full-time employees (FTE) needed to be hired to cover the additional procedures per 7.5-day work is 1. The FTE has 450 minutes available for the additional procedures. She will only require 375 minutes. Therefore, she has extra (idle) time of 75 (450 - 375) minutes per workday.
Apply the distributive property to create an equivalent expression. 6 ( a + 2 b + 3 c ) =
Answer: 6
Step-by-step explanation: a + 2b + 3 c = a + 2b + 3c
The list shows the numbers of employees in the nine departments at a company.
14, 23, 6, 54, 30, 26, 17, 3, 26
What is the range of the numbers of employees in these departments?
51
18
26
23
Answer:
51
Step-by-step explanation:
largest number - smallest number
54 - 3 = 51
Answer:
51
step by step
Explanation: The range of a data set is the difference between the largest number in the data and the smallest number in the data set which in this case is 54 - 3 of 51. So the range of this data set is 51.
I have ¾ of an hour to finish 6 homework assignments. How much time can I spend on each assignment?
Answer:
7.5 min for each assignment
Step-by-step explanation:
1 hour is 60 minutes, and there are four 15 minute intervals. So, if there are four intervals of 15 minutes that add up to 60, just take three of them and put them over four:
15 ⋅ 15⋅ 15/ 15⋅ 15 ⋅ 15 ⋅ 15= 45 /60
Or we could multiply one hour, or 60 minutes, by 3 /4 .
60 ⋅ 3/ 4 = 60 /1 ⋅ 3 /4 = 60 ⋅ 3/ 4 ⋅ 1 = 180 /4 =45
Three fourths of an hour is 45 minutes.
to find time for each assignment =45/6
7.5 min
the segments shown below could form a triangle. True or false
Answer:
true
Step-by-step explanation:
true
6q + 8 = -9 - 76
a. 12
b. -12
c. 84
d. -84
Answer: the answer will be -15.5, but this number is not in the choices given, so I guess you made a mistake while writing the equation
Step-by-step explanation:
6q+8=-9-76
6q+8=-85 Subtract 8 from both sides
6q=-93 Divide both sides by 6
q=-15.5
Which of the following is equal to the expression listed below?
70+30
A.(10x7)(10x3)
B.10+(7x3)
C.(10+7)(10+3)
D.10(7+3)
Plz show work, NEED HELP FAST PLZ
Answer:
5. 4 6. 6
Step-by-step explanation:
Number 5
[tex]10-2\sqrt{9}[/tex]
[tex]2\sqrt{9}=6[/tex]
[tex]=10-6[/tex]
Subtract the numbers: 10 - 6 = 4
[tex]=4[/tex]
Number 6
[tex]70-\left(\sqrt[3]{64}\right)^3[/tex]
[tex]\left(\sqrt[3]{64}\right)^3=64[/tex]
[tex]=70-64[/tex]
Subtract the numbers: 70 - 64 = 6
[tex]=6[/tex]
A rectangular prism has a length of 9 in., a width of 4 in., and a height of 112 in.
The prism is filled with cubes that have edge lengths of 12 in.
How many cubes are needed to fill the rectangular prism?
Answer:
432
Step-by-step explanation:
Answer: 4032
Step-by-step explanation: 9x4x112 is 4032
i took the test and pls give brainiest
HELP! WILL GIVE BRANLIEST!
Answer:
Z = 80 degrees and X = 8 degrees
Step-by-step explanation:
The reason Z = 80 degrees is because a flat line always has a measure of 180 degrees.
I forget the term, but we know that 6x + 52 is equal to 100 due to some angle theorem. (Once again, I do not remember the term.)
We then subtract 52 from 100 to get the equation 6x = 48. Divide them both by 6 and you get X = 8!
Hope this helped!
26.5 multiplied by 0.38
Answer:
10.07
Step-by-step explanation:
26.5 x 0.38 = 10.07
Can I get brainliest
What is -56 = - 8z because I don’t even know the answer
Answer:
z=7
Step-by-step explanation:
7 times (-8)=-56
hope this helps:)
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Find the total amount due on a loan of $650 at the annual simple interest rate 5% at the
end of 6 months
Answer:
$666.25
Step-by-step explanation:
Use the equation A = P(1 + rt)
P=16.25
$650+$16.25=666.25
for the student store, sienna bought six packs of apple juice at $3.20 per pack. she sells each juice box at $.75 each. if she sells all the juice boxes in one day, how much profit will she get from selling these apple juice?
Answer:
Her profit would be $1.30
Juan has had his model approved and is now able to start construction on it. The model is 3 feet and 5 inches tall. If the scale for the actual barn is 1 inch = 11 feet, how tall will his barn be?
Answer:
451 feet tall
Step-by-step explanation:
3*12=36
36+5=41
41*11= 451
8 2/3 divided by 4 1/8=2 1/10
Answer:
8 2/3 divided by 4 1/8=2 1/10 is Correct
exactly 2 10/99
On the unit circle, an arc of length 2 subtends an angle, β. What is the radian measure of β?
Answer:
[tex](d)\ \beta = 2\ rad[/tex]
Step-by-step explanation:
Given
[tex]L =2[/tex] -- length of the arc
[tex]r = 1[/tex] --- radius of a unit circle
[tex]\beta =[/tex] the subtended angle
Required
Find [tex]\beta[/tex]
The length of an arc is:
[tex]L = r * \beta[/tex]
This gives:
[tex]2 = 1 * \beta[/tex]
[tex]2 = \beta[/tex]
Make [tex]\bets[/tex][tex]\beta[/tex] the subject
[tex]\beta = 2[/tex]
Hence:
[tex]\beta = 2\ rad[/tex]
Answer:
2rad
Step-by-step explanation:
