Answer:
A8 = 66 [8th term]
Step-by-step explanation:
Given the explicit arithmetic sequence An = -14 + 10n → -4 + 10(n-1)
To find the 8th term. An nth term is where n is n in the sequence. So substitute 8 for n, and simplify.
So A8 = -4 + 10(8-1) → -4 + 10(7) → -4 + 70 → 70 - 4 → 66.
The eighth term of the arithmetic sequence is 66.
Given that,
An = 10n - 14.Here we need to find out the eighth term of the arithmetic sequence.Here n = 8.Based on the above information, the calculation is as follows:
An = 10n - 14
= 10(8) - 14
= 80 - 14
= 66
Therefore we can conclude that the eighth term of the arithmetic sequence is 66.
Learn more: brainly.com/question/18109692
A bank credit card charges interest at the rate of 24% per year, compounded monthly. If a senior in college charges $1,500 to pay for college expenses, and intends to pay it in one ye
what will he have to pay? (Round your answer to the nearest cent.)
$
Answer: 1902.36
Step-by-step explanation:
When interest is compounded monthly , the formula to find the accumulated amount is
[tex]A=P(1+\dfrac{r}{12})^{12t}[/tex] , where P = principal value , r = rate of interest , t = time.
As per given,
r= 24% = 0.24
P= $1500
t= 1 year
Put all value in formula , we get
[tex]A= 1500(1+\dfrac{0.24}{12})^{12\times 1}\\\\=1500(1+0.02)^{12}\\\\=1500(1.02)^{12}\\\\=1500(1.26824179456)\approx1902.36[/tex]
Hence, he need to pay $1902.36.
pleaseee helpp meee
Answer:no
Step-by-step explanation:hope it helps
Mickey needs $80 to buy a fish tank for her fish. So far he shas been able to save $8. She is going to be cleaning up this weekend at the park where he makes $9 per hour. Which inequality shows the minimum number of hours h , that Mickey can work at the park to earn enough to buy the fish tank for her fish? (5 points) a 8 + 9n ≤ 80, so n ≤ 8 b 8 + 9n ≥ 80, so n ≥ 8 c 9n ≥ 80 + 8, so n ≥ 9.8 d 9n ≤ 80 + 8, so n ≤ 9.8
Answer:
.
Step-by-step explanation:
A pancake recipe calls for 4 of a cup of powdered milk and 2 cups of whole wheat flour for each batch of pancakes.
If Ruby plans on making 4 batches of pancakes, how many combined cups of powdered milk and whole wheat finur does she need?
9514 1404 393
Answer:
24 cups
Step-by-step explanation:
One batch takes a combined total of 4 + 2 cups = 6 cups of milk and flour. Then 4 recipes will take ...
4 × 6 cups = 24 cups . . . combined
Evaluate the function. f(x) = -22 + 5x – 2
Find f (-4)
Boris used 2/3/5 gallons of gas on Friday and 5/1/4 gallons of gas on saturday, how many gallons did he use on the two days combined
Answer:
Exact form: 157/20
Decimal Form: 7.85
Mixed Number Form: 7/17/20
Step-by-step explanation:
3. A solid cylinder has a radius of 6cm and a height of 20cm.
a. Calculate the volume of the cylinder. Give your answer correct to 3 significant figures.
b. The cylinder is made of a material that has a density of 1.5g/cm3. Calculate the mass of the cylinder. Give your answer correct to 3 significant figures.
4. The diagram shows a right-angled triangular prism.
Answer:
a) 2260 cm³
b) 3390 grams
Step-by-step explanation:
3.
a)The radius of the solid cylinder = 6cm
The height of the cylinder is =20 cm
The volume = π*r²*h
The volume = 3.14 * 6²*20 =2260 cm³
b) Density of the material = 1.5 g/cm³
Volume of the cylinder = 2261 cm³
Mass of the cylinder = Density * Volume
Mass of the cylinder = 1.5 * 2261 = 3390 grams
there are 3 rows of pictures on a wall. each row has 6 pictures. how many pictures are on the wall
Answer:
There are 18 pictures on the wall
Step-by-step explanation:
6 x 3 = 18
there is no way that simple multiplication is college level.
May I have brainliest please? :)
Stan spent $440 on 8 chairs. To find out how much he
spent on each chair, he did the following work in long
division.
Answer:
the answer is there should be another digit in the quotient
Answer:
No, because there should be another digit in the quotient
If AB =CD, CD = 9in, BC = 5x, and AD = 53 in. , find x.
35
7
42
6
None of the other answers are correct
Answer:
Step-by-step explanation:
U right it’s not any of them and if u single I’m here
Answer:
B.
Step-by-step explanation:
AD, the entire segment, is composed of the three segments AB, BC, and CD. In other words:
[tex]AD=AB+BC+CD[/tex]
Since AB=CD, we can substitute:
[tex]AD=CD+BC+CD\\ AD=2CD+BC[/tex]
We know that CD is 9 and BC is 5x. AD is 53. So, substitute:
[tex]53=2(9)+5x[/tex]
Solve for x:
[tex]\begin{aligned} 53&=18+5x \\ 35&=5x \\ 7&=x \end{aligned}[/tex]
The value of x is 7.
Hence, our answer is B.
PLEASE HELP! ILL GIVE BRAINLEST!
Question 1(Multiple Choice Worth 5 points)
(04.06A HC)
The table and the graph below each show a different relationship between the same two variables, x and y:
A table with two columns and 5 rows is shown. The column head for the left column is x, and the column head for the right column is y. The row entries in the table are 3,180 and 4,240 and 5,300 and 6,360. On the right of this table is a graph. The x axis values are from 0 to 10 in increments of 2 for each grid line. The y axis values on the graph are from 0 to 350 in increments of 70 for each grid line. A line passing through the ordered pairs 2, 70 and 4, 140 and 6, 210 and 8, 280 is drawn.
How much more would the value of y be in the table than its value on the graph when x = 11?
110
150
215
275
Answer:
275
Step-by-step explanation:
calculator
What percent is equivalent to 2/3
66 1/3
66 3/5
66 2/3
66 7/10
Answer:
66 2/3
Step-by-step explanation:
(2/3)(100) = 66 2/3
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\textbf{Question reads....}[/tex]
[tex]\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}[/tex]
[tex]\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}[/tex]
[tex]\mathbf{\dfrac{2}{3}}[/tex]
[tex]\mathbf{= 2\div3}[/tex]
[tex]\mathbf{= 0.66666667}[/tex]
[tex]\mathbf{= 0.66666667 \times 100}[/tex]
[tex]\mathbf{= 66.6666667\%}[/tex]
[tex]\mathbf{\approx 66.67\%}[/tex]
[tex]\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}[/tex]
[tex]\huge\textsf{Option A.}[/tex]
[tex]\mathbf{66 \dfrac{1}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+1}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 +1}{3}}[/tex]
[tex]\mathbf{= \dfrac{199}{3}}[/tex]
[tex]\mathbf{= 199\div3}[/tex]
[tex]\mathbf{= 66.3333333}[/tex]
[tex]\mathbf{= 66.3333333 \times100}[/tex]
[tex]\mathbf{= 6,633.33333\%}[/tex]
[tex]\mathbf{\approx 6,633.33\%}[/tex]
[tex]\huge\textsf{This eliminates Option A. as your result.}[/tex]
[tex]\huge\textsf{Option B.}[/tex]
[tex]\mathbf{66 \dfrac{3}{5}}[/tex]
[tex]\mathbf{= \dfrac{66\times5 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{330 + 3}{5}}[/tex]
[tex]\mathbf{= \dfrac{333}{5}}[/tex]
[tex]\mathbf{= 333\div5}[/tex]
[tex]\mathbf{= 66.6}[/tex]
[tex]\mathbf{= 66.6 \times 100}[/tex]
[tex]\mathbf{= 6,660}[/tex]
[tex]\mathbf{\approx 6,660\%}[/tex]
[tex]\huge\textsf{This eliminates Option B. as your result.}[/tex]
[tex]\huge\textsf{Option C.}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\mathbf{= \dfrac{66\times3+2}{3}}[/tex]
[tex]\mathbf{= \dfrac{198 + 2}{3}}[/tex]
[tex]\mathbf{= \dfrac{200}{3}}[/tex]
[tex]\mathbf{= 200\div3}[/tex]
[tex]\mathbf{= 66.6666667}[/tex]
[tex]\mathbf{= 66.6666667\times100}[/tex]
[tex]\mathbf{= 6,666.66667}[/tex]
[tex]\mathbf{\approx 6,666.67\%}[/tex]
[tex]\huge\textsf{This eliminates Option C. as your result.}[/tex]
[tex]\huge\textsf{Option D.}[/tex]
[tex]\mathbf{66\dfrac{7}{10}}[/tex]
[tex]\mathbf{= \dfrac{66\times10 +7}{10}}[/tex]
[tex]\mathbf{= \dfrac{660 + 7}{10}}[/tex]
[tex]\mathbf{= \dfrac{667}{10}}[/tex]
[tex]\mathbf{= 667\div10}[/tex]
[tex]\mathbf{= 6.67}[/tex]
[tex]\mathbf{= 6.67\times100}[/tex]
[tex]\mathbf{= 6,670}[/tex]
[tex]\mathbf{\approx 6,670\%}[/tex]
[tex]\huge\textsf{This eliminates Option D. as your result.}[/tex]
[tex]\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}[/tex]
[tex]\huge\textbf{The closest answer was:}[/tex]
[tex]\mathbf{66 \dfrac{2}{3}}[/tex]
[tex]\huge\textbf{Therefore the answer MIGHT be:}[/tex]
[tex]\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
PLEASE HELP I NEED TO SHOW WORK WILL GIVE BRAINLIST
Answer:
Jahmya's Lunch cost more
Step-by-step explanation:
Stephen's Lunch
(Garden Salad) 2.29(Veggie Burger) 4.75(Lemonade) 1.292.29 + 1.29 = 3.583.58 + 4.75 = 8.33Total Cost = $8.33Jahmya's Lunch
(Fruit Salad) 2.89(Sandwich) 4.59(Water) 1.392.89 + 4.59 = 7.487.48 + 1.39 = 8.87Total Cost = $8.87A local sorority sold hot dogs and bratwursts at the spring fling picnics. The first day they sold 8 dozen hotdogs and 13 dozen bratwursts for $330.00. The second day they sold 10 dozen hot dogs and 15 dozen bratwursts for a total of $390.00 how much did each cost?
Answer:
Hotdogs are $12.00 for the dozen or $1.00 each
Bratwursts are $18.00 for the dozen or $1.50 each
Step-by-step explanation:
Is this right? PLEASE HELP
Answer:
I got
2x^4u^4-6+9x^3u^2/ux^2
Step-by-step explanation:
Photo wrong only at the end u^2
24. A sports medicine major wanted to conduct an experiment to determine if there is a correlation (2 between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data: Every day for a week he counts how many times each player can leg press 350 pounds. The following week, he has each player sprint 40 yards every day. The table shows the average number of leg-press repetitions and the average 40-yard dash time (in seconds) for seven randomly selected players. What is the equation of the line of best fit? How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions? Round any values to the nearest tenth, if necessary. 12 32 7 26 28 15 Leg Press (reps) 1 40-yard Dash (s) 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Answer:
ŷ = 0.1197X + 9.2741
11.9 seconds
Step-by-step explanation:
Given the data:
Average number of leg press Repetition and average 40 yard dash line
Leg press rep (x) : 12 32 7 26 28 15 1
40 yard dash (y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
Using the linear regression calculator :
The equation of the line of best fit obtained is :
y = 0.1197X + 9.2741
Where;
x = leg press (predictor variable)
y = 40 yard dash (predicted variable)
Slope = 0.1197
Intercept = 9.2741
How many seconds should he expect a player to take to run 40 yards if that player can do 22 leg-press repetitions?
22 leg press Repetitions = x
From the line of best fit equation :
y = 0.1197(22) + 9.2741
y = 11.9075
y = 11.9 seconds
The lines of best fit is the trend line of the dataset.
The equation of line of best fit is [tex]\mathbf{y =0.120x + 9.274}[/tex]The time for 22 leg-press reps is 11.9 seconds(a) The equation of the line of best fit
The table is given as:
(x) : 12 32 7 26 28 15 1
(y) : 8.6 14.6 7.1 8.3 11.9 19.4 9.5
To determine the equation of line of best fit, we make use of a regression calculator.
Enter the above dataset in a regression calculator, the equation is:
[tex]\mathbf{y =0.120x + 9.274}[/tex] -- approximated to three decimal places
(b) The number of seconds for 22 leg-press reps
This means that x = 22.
So, we have:
[tex]\mathbf{y =0.120 \times 22 + 9.274}[/tex]
[tex]\mathbf{y =2.64 + 9.274}[/tex]
[tex]\mathbf{y =11.914}[/tex]
Approximate to the nearest tenth
[tex]\mathbf{y =11.9}[/tex]
Hence, the time for 22 leg-press reps is 11.9 seconds
Read more about linear regressions at:
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Luke was given a gift card for a coffee shop each morning Luke uses the card to buy one cup of coffee the original amount of money on the gift card was $30 and after buying 6 cups of coffee the card had $12 remaining balance write and equation for a in terms of X representing the amount of money remaining on the card after buying X cups of coffee
Answer:
30-6x=12
Step-by-step explanation:
30 (was the original)-6(the amount of coffee)x(the price of each coffee)=12(the remaining amount after those 6 cups)
hope this helps!!
i need to fill in this table to show a proportional relationship.
Answer:
x 2 4 10 12 20 33
y 6 12 30 36 60 99
need help with simplifying.
Answer:
Step-by-step explanation:
4x^3 + 7x^3 - 5x + 9x + 3 + 11 = 11x^3 + 4x + 14
Question 1/3 There are 85 girls and 70 boys in the sixth grade. Of these students, 14 girls and 8 boys take piano lessons.
What percentage of the sixth graders at this school take piano lessons?
A. 14%
B. 22%
C. 18%
D. 12%
Answer:
A
Step-by-step explanation:
155-22/155 equal around 86% who don't so meaning 14% do take lessons.
Answer:
The answer is A.
Step-by-step explanation:
Jasmin can walk 1/4 mile every 1/5 hour. At this rate, how far can Jasmin
walk in one hour?
Answer:
hope this helps :)
Step-by-step explanation:
Since we know how far she can walk in 1/5 (one fifth) of an hour, if we multiply this distance by 5, we will find out how far she can walking in 5/5 (five fifths) of an hour, or to be clear: in one hour.
So, 5 x 1/4 miles = 5/4 or 1.25 miles per hour
Jazmeen can walk 1.25 miles in one hour.
John bought 15 cookies and ate 3 of them. He ate % of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)
Answer:
20%
Step-by-step explanation:
Divide 3 by 15 to get 1/5. If you divide 1 by 5, you will get a decimal answer of 0.2. To convert a decimal to a percent, you must multiply the decimal by 100, which basically means to move the decimal place to the right twice. You will then get the product and final answer of 20%.
Dr.man mixed 9.357 g of chemical A, 12.082 g of chemical B, and 7.502 g of chemical C, to make 5 doses of medicine.
Draco invests $5000. Approximately how long will it take for the investment to double if the rate is 10% compounded annually?
Answer:
I'm in 6th grade and I think it is 500
For the investment to double if the rate is 10% compounded annually,
it will take about 7 years and 3 months.
What is compound interest rate?Compound interest is computed as interest on the principle of an account plus any accrued interest.
Compound interest can be calculated using the following formula:
x = P (1+r/n[tex])^{nt}[/tex]
,where x = compound interest
P = principal (the initial deposit or loan amount)
r = annual interest rate
n = the number of compounding periods per unit of time
t = the number of time units the money is invested or borrowed for.
Given:
Draco invests $5000.
Draco wants his investment to double.
That means, accrued amount = $10000
Interest rate = 10%
First, convert R as a percent to r as a decimal
r = R/100
r = 10/100
r = 0.1 per year,
Then, by using the formula,
t = ln(A/P) / n[ln(1 + r/n)]
t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1/1)] )
t = ln(10,000.00/5,000.00) / ( 1 × [ln(1 + 0.1)] )
t = 7.273 years
t = about 7 years 3 months
Therefore, the required time is about 7 years 3 months.
To learn more about the compound interest rate;
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A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Step-by-step explanation:
The slope intercept form of a line is given by:
[tex]y=mx+b[/tex]
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
[tex]y = \frac{3}{2}x+b[/tex]
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]
Putting b=-6 in the equation
[tex]y = \frac{3}{2}x-6[/tex]
Hence,
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
3. Estimate the quotient. Round the divisor first. 482 ÷61=
Answer:
8.033
Step-by-step explanation:
Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy. If there are no possible solutions, submit an empty answer.
Answer:
The maximum amount of apples she could buy is 7
Step-by-step explanation:
3 mangos would be 4.50 dollars. Subtract that from her current amount of money (20 dollars). You would get 15.5 dollars. Then, find how many apples she can buy with 15.5 dollars. You can't buy 8 because that would be above 15.5. So do the next smallest amount, 7.
What is the slope of the line on the graph?
Answer:
mx plus b
Step-by-step explanation:
the slope is 1 -2
If Mr. Vasquez can run 8 miles in 2 hours, then how many miles can he run in 1 hour?
I NEED HELPP nOw!!!!! pLz?!
Answer: four
Step-by-step explanation:
8/2=4