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
The total bill for drinks and a pizza for three people is $1490 before tax the group wants to leave a 15% tip on the cost for the food, not including tax, what will be the amount of the tip?
Answer:
223.50
Step-by-step explanation:
1490x .15 = 223.50
An engineer traveled 125 mi by car and then an additional 675 mi by plane. The rate of the plane was three times the rate of the car. The total trip took 7 h. Find the rate of the car.
Answer:
The speed of the car is 50 mph.
The speed of the plane is 150 mph.
Driving time = 185/50 = 3.7 hours
Flying time = 645/150 = 4.3 hours
Step-by-step explanation:
R be the speed of the car.
t is the driving time.
185 = R* t
645 = (3R)*(8-t) <--- the plane is 3 times as fast; the total time is 8 hours, so 8-t hours is spent flying
645 = 24R - 3rt <--- distributive
645 = 24R - 3(185) <--- substitutes rt = 185
645 = 24R - 555
1200 = 24R
R = 50
Find the perimeter and area of the polygon shown below.
P= 72 feet, A = 300 square feet
O P = 56 feet, A = 308 square feet
P= 87 feet, A = 360 square feet
P = 72 feet, A = 308 square feet
Answer:
A. P = 72 feet, A = 300 square feet
Step-by-step explanation:
✔️Perimeter = sum of all sides of the polygon = 15 + 16 + 17 + 8 + 16 = 72 ft
✔️Area of the polygon = area of a trapezoid = ½(a + b)h
Where,
a = 16 ft
b = 16 + 8 = 24 ft
h = 15 ft
Substitute
Area = ½(16 + 24)15
Area = ½(40)15
Area = 300 ft²
3 that aren’t answered please, ill give brainiest
Answer:
7: 113.1 yd
In terms of Pi: 36π
8: 326.85 in
In terms of Pi: 104π
6: 452.39 km
In terms of Pi: 144π
Step-by-step explanation:
PLZ HELP
Which is the sum of 3.15 × 10^7 +9.3 × 10^6 ? Write your answer in
scientific notation.
A. 4.08 × 10^7
B. 4.08 × 10^6
C. 0.408 × 10^8
D. 40.8 × 10^6
Answer: A 4.08x10^7
Step-by-step explanation:
Expanded form: 40800000
pls I need assistance with this I promise brainiest
1. (-4)*(-3)*(+2)/(-6)*(-4)
2. -8*(-11)*9*(-5)/2*(-33)*(-3)
Answer:
1) 16
2) -196020
Step-by-step explanation:
simple answer using DMAS rule
D = Division
M = Multiplication
A = Addition
S = Subtraction
Find the height of the cone plsss
Answer: the last one, 31.6
Answer:
the answer is about 31.6
Step-by-step explanation:
the formula for the height of a cone is 3(V/πr^2), so if you plug in the number, you'll get about 31.6.
You volunteer to help drive children at a charity event to the zoo, but you can fit only 7 of the 19 children present in your van. How many different groups of 7 children
can you drive?
How many different groups of 7 children can you drive?
Answer:
3
Step-by-step explanation:
Let u = <-5, 2>, v = <-2, 6>. Find 4u + 3v.
Answer:<-26, 26>
Step-by-step explanation: <4(-5), 4(2)> and
<3(-2), 3(6)>
<-20, 8> and <-6, 18>
Now add <(-20+(-6)), (8+18)>
<-26, 26>
4. Vivian uses a debit card to pay for a purchase, but she spends more than she has in her bank account. What will happen next?
Answer:
Vivian will have to get a loan, and pay back the money she spent with her debit card. If she cannot pay back this loan in time, the interest will grow higher and higher. Using a debit card is NOT good because if you don't have the money for something and you buy it anyway, you'll have to pay back double the money if you miss the deadline for the loan.
Tools -
Question 10
Steven fosses a fair coin 100 times. The coin lands on heads 57 times and tails 43 times.
What is the probability and relative frequency of the coin landing on heads?
A
The probability is 50% and the relative frequency 43%
B
The probability is 50% and the relative frequency 57%
The probability is 43% and the relative frequency 50%.
D
The probability is 57% and the relative frequency 50%.
Answer: D
Step-by-step explanation:
The probability of the coin landing on heads is 50% and the relative frequency of the coin landing on heads is 57%
The probability of the coin landing on headsThe sample space of a coin is:
S = {Head, Tail}
The sample size is:
n(S) = 2
The probability of the coin landing on heads is calculated as:
P(Head) = n(Head)/n(S)
So, we have:
P(Head) = 1/2
Express as percentage
P(Head) = 50%
Hence, the probability of the coin landing on heads is 50%
The relative frequency of the coin landing on headsFrom the question, we have:
Toss = 100
Head = 57
The relative frequency of the coin landing on heads is calculated as:
Frequency = 57/100
Express as percentage
Frequency = 57%
Hence, the relative frequency of the coin landing on heads is 57%
Read more about probability at:
https://brainly.com/question/251701
A circular patio has a radius of 4 yards. The patio is expanded so that the
radius increases by 2 yards. By how many square yards does the area of the
patio increase?
Answer:
20pi or 62.83
Step-by-step explanation:
when r=4
pi r^2
16pi
when r=6
pi r^2
36pi
36pi-16pi=20pi or 62.83
Mr. Wilson invested money in two accounts. His total investment was $20,000. If one account pays 3% in interest and the other pays 6% in interest, how much does he have in each account if he earned a total of $960 in interest in 1 year?
He invested $__ in the 3% account and $__ in the 6% account.
Answer:
8000 and 12,000
Step-by-step explanation:
Let the amount of money deposited in the 3% account be known as "x"
The amount of money deposited in the 6% account would be "20,000 - x" (aka the remaining amount of money not put into the first account)
3% Interest -> 0.03 *
6% Interest -> 0.06 *
0.03 * x + 0.06 * (20,000 - x) = 960
0.03x + 1200 - 0.06x = 960
-0.03x = -240
x = 8000
20,000 - x
20,000 - 8000 = 12000
1/4-1/20 in simplest form
Answer:
1/5
Step-by-step explanation:
Answer: 1/5
Step-by-step explanation:
A rectangular prism has a length of 12 inches, a height of 16 inches, and a with of 20 inches. What's the volume, in cubic inches
Answer:
3840in²
Step-by-step explanation:
Formula:
V = whl
Insert the values:
V = 20 * 16 * 12
Multiply the values:
V = 3840in²
1. The perimeter of a square box is 12x+32. Write an equivalent expression that shows the perimeter as four times the side length of the box.
Answer:
4(3x+8)
Step-by-step explanation:
what is the y-intercept of the line that goes through (0, 0) (6, 3)
Answer:
QUESTION:
what is the y-intercept of the line that goes through (0, 0) (6, 3)
ANSWER:
Use the slope formula and the slope-intercept form to find the slope m and y-intercept b .
Slope: 1/2
y-intercept: (0,0)
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
A video game system costs $350. The sales tax rate is 796, what
is the final cost
Your answer
Answer:
$377.86
Step-by-step explanation:
Given: Video game system costs $350, sales tax rate is 796.
To find: Final cost
Solve: Calculating Total Cost. Multiply the cost of an item or service by the sales tax to find out the total cost.
3.5 × 7.96 = 27.86
Add the total sales tax to the Item or service cost to get your total cost.
27.86 + 350 = 377.86
The final cost is $377.86
Which expression is equivalent to 5c + 3c?
the correct Number is 8c
Section 1 - Question 3 Which expression would produce the greatest product? A 10 × 1/2 10 × 1/ 10 × 100 10 × 3 B C
Answer:
A: 10 x 1/2 = 15
Step-by-step explanation:
dfghj
For his long distance phone service, Tom pays an 8 monthly fee plus 6 cents per minute. Last month, Tom's long distance bill was $16.34. For how many minutes was Tom billed?
A plane descends 1000 ft while flying
2.7 mi. What is the angle of descent?
Answer:
4.02°
Step-by-step explanation:
The angle of descent can be obtained using trigonometry ;
Since we have a right angled triangle ;
Let's use the relation:
Sin θ = opposite / hypotenus
Hypotenus = 2.7 miles
1 mile = 5280 feets
2.7 miles = (2.7 * 5280) = 14256 feets
Sin θ = 1000 / 14256
Sin θ = 0.0701459
θ = sin^-1(0.0701459)
θ = 4.0223674
rectangle has area 80 square centimeters. the rectangle is dilated using A as a center and a scale factor of 1/2 what is the area of the image
9514 1404 393
Answer:
20 square centimeters
Step-by-step explanation:
The area of the dilated figure is the original area multiplied by the square of the dilation factor. The center of dilation is irrelevant.
dilated area = (1/2)² × original area
dilated area = 1/4 × 80 cm²
dilated area = 20 cm²
Brainliest for correct answer, asap please.
Answer:
Not a function
Not a function
Function
Step-by-step explanation:
The 1st one isn't as clear in the picture, but it looks like the ends of each line overlap the each other.
abus
Find the slope of the line shown in the graph below.
5
nts
4
2
1
-6-5-4
2
3
4
5
6
2
a line is parallel to y=3x-2 and intersects the point (3,5)
The equation of the line that is parallel to y = 3x - 2 and intersects the point (3, 5) will be y = 3x - 4.
What is the equation of a parallel line?Let the equation of the line be ax + by + c = 0. Then the equation of the parallel line that is parallel to the line ax + by + c = 0 is given as ax + by + d = 0.
The linear equation is given below.
y = 3x - 2
The equation of the line that is parallel to the line y = 3x - 2 will be given as,
y = 3x + c
The equation passes through (3, 5), then we have
5 = 3(3) + c
5 = 9 + c
c = - 4
Then the equation of the line will be y = 3x - 4.
More about the equation of a parallel line link is given below.
https://brainly.com/question/402319
#SPJ2
in the triangle shown determine a to the nearest degree
Answer:
43
Step-by-step explanation:
Cos A= 8/11
Cos A= 43.34
A=43.34
I need help someone help me out!
[tex]{ \large{ \sf{r {}^{2} = \dfrac{V}{πh} }}}[/tex]
[tex]{ \large{ \sf{ \therefore{r = \sqrt{ \dfrac{V}{πh} } }}}}[/tex]
Option = A is rightThe order is for 500 mL D5 1/2 NaCl to run in 6 hours. Set calibration is 15 gtt/mL calculate the flow rate in mL/hrs
Answer:
16 is correct
Step-by-step explanation:
here's the question