6,726 ÷ 85
with the remainder
Answer:
79.13
Step-by-step explanation:
a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common
difference and the 10th term
Answer:
Step-by-step explanation:
The nth term of an AP is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
Sixth term
T6 = a+(6-1)d
T6 = a+5d
Third term;
T3 = a+(3-1)d
T3 = a+2d
If the sixth term of an AP is twice the 3rd term, then
a+5d = 2(a+2d)
a+5d = 2a+4d
Given a = 3
3+5d = 2(3)+4d
5d-4d = 6-3
d = 3
Common difference is 3
For the 10th term
T10 = a+9d
T10 = 3+9(3)
T10 = 3+27
T10 = 30
Hence the tenth term is 30
Suppose a rope is nailed to a pole 35 meters above the ground and extended away from the base of the pole. The distance from the base of the pole to the end of the rope is 15 meters. What is the angle made by the rope and the ground?
A. 21.2∘
B. 66.8∘
C. 25.4∘
D. 64.6∘
Answer:
[tex]B. \: \boxed{66.8}[/tex]
Step-by-step explanation:
[tex]to \: solve \: this \: little \: poblem : we \:apply \: the \: pythagrean \: rule \to \\ \boxed{SOH} \boxed{CAH} \boxed{TOA} \to \\ we \: are \: been \: given : \to \\ the \: \boxed{opp }\: of \: the \: required \: angle \: = 35. \\ the \: \boxed{adj }\: of \: the \: required \: angle \: = 15. \\ now \: lets \: apply \: \boxed{TOA}\to \: \tan( \theta) = \frac{opp}{adj} \to\\ \tan( \theta) = \frac{opp}{adj} = \frac{35}{15} = 2.3333333333 \\ \theta = \tan {}^{ - 1} (2.3333333333) \\ \boxed{\theta = 66.80}[/tex]
♨Rage♨
A motorcycle bought for $10,000 depreciates continuously at 9% per annum. What is the value after seven years round the answer to the nearest dollar
Answer:
Book value= $62.83
Step-by-step explanation:
Giving the following information:
A motorcycle bought for $10,000 depreciates continuously at 9% per annum.
First, we need to calculate the depreciation of seven years:
FV= PV*{[1+(-i/100)]^n}
FV= 10,000*{[1+(-0.09/100)]^7}
FV= $9937.17
Book value= 10,000 - 9,937.17
Book value= $62.83
What is the value of the expression below?
6 + 5(9 ÷ 3)2
Answer:
36
Step-by-step explanation:
Divide 9 and 3
6 + 5 x 3 x 2
6+30
= 36
Use elimination to solve the system.
5x - 2y - 39 = 0
2x + 5y - 33 = 0
The solution set is { }
(Simplify your answer. Type an ordered pair.)
Answer:
the answer to your question is (9,3)
I need help don’t understand
okay first off: we both use the same virtual school and i just thought that was cool lol
the equation for g(x) is g(x)=4x-5 so when you substitute in x it becomes
g(x)= 4(2) -5 or g(x)= 8-5 which equals g(x)=3
when you substitute in x, f(x) becomes
f(x)= 2 + 1 which equals f(x)=3
therefore when x=2, both functions are equal :)
hope this helps!!
A basketball game has four quarters. The length of a game is 32 minutes. You play the entire game except 4.5 minutes. Write and solve an equation to find the mean time you play per quarter.
Answer: a little bit over 6 minutes i think
Step-by-step explanation:
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️
Answer:
.66
Step-by-step explanation:
I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh?
Answer:
1.72 pounds
Step-by-step explanation:
1.25 + 0.14 + 0.33 =1.72 pounds
In a race, 47 out of the 50 swimmers finished in less than 35 minutes. What percentage of the swimmers finished the race less than 35 minutes?
47*_____=_______
50*_____=_______=______%
Answer:
94%
47*2=94
50*2=100
Step-by-step explanation:
Answer: 94% of the swimmers finished the race in less than 35 minutes.
Step-by-step explanation:
There are several ways to go about finding the answer. The best way to solve this, which can be easily applied to other percentage problems is dividing the number of swimmers who finished in this time (47) by the total number of swimmers (50) (Using a calculator).
47/50 = 0.94
To change a decimal to a fraction, move the decimal place over two spaces to the right. Therefore, 0.94 becomes 94%.
Way 2:
This only works because there the number of swimmers are a multiple of 100.
50 is 1/2 of 100. To get the full 100, you can multiply both the numerator and denominator by 2.
Multiply 47 by 2 to get 94 and 50 by 2 to get 100. Thus, 94/100 swimmers would have finished in under 35 minutes. 94/100 = 94%
Evaluate the expression when a=3 and b= 19.
b-4a
Answer:
7
Step-by-step explanation:
19 - 4(3) = 19 - 12 = 7
please give me a brainiest
In a game, the probability of landing on yes is 1:2. How many times would you expect to land on yes if you spin the spinner 20 times?
Answer due at 12:00 pm Pacific Daylight Time.
Answer:
half of the time so 10 times
Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7
Answer:
C: 1/2x +7
Step-by-step explanation:
$3.00 markup 72%
Thanks for helping
Answer:
$5.16
Step-by-step explanation:
3.00 times 0.72 is 2.16. Because it's a markup that means you add. 3.00 plus 2.16 is 5.16.
write the expression n n n n n n using an exponent. Name the base and the exponent.
Answer:
n⁶
Step-by-step explanation:
Base= n
exponent=⁶
use distributive property to find 6×296
Answer:
296 x 6 = 1776
Step-by-step explanation:
Please help brooo
Rose and Natalie are saving money for a trip. The table shows the amount of money Rose saves each month.
The graph shows Natalie's savings.
Please help
Which statement about rose and natiles is true
A the women save the same amount of money each month
B the initial value of natalies savings is greater than rose
C the rate of change ROC for roes saving is less than natiles
D after 5 months natalies has saved more money than rose
GIVING BRAINLIEST!
What kinds of observations can you make that might indicate a chemical change is taking place?
Answer:
1. Color Change.
2. Production of an odor.
3. Change of Temperature.
4. Evolution of a gas (formation of bubbles)
5. Precipitate (formation of a solid)
Step-by-step explanation:
A 2-column table with 7 rows. Column 1 is labeled x with entries 35, 35, 39, 44, 44, 48, 49. Column 2 is labeled y with entries 439, 440, 417, 615, 409, 403, 404. Leah claims the data in the table contains a cluster. Why is Leah’s statement true? There is no obvious outlier. The y-values are steadily increasing as the x-values are decreasing. The data contains a group of closely occurring points. Leah’s statement is not true.
Answer:
its c
Step-by-step explanation: A 2-column table with 7 rows. Column 1 is labeled x with entries 0.5, 1, 1.5, 1.5, 2, 2.25, 2.75. Column 2 is labeled y with entries 41, 35, 37, 36, 35, 30, 31.
The data set in the table forms a cluster and does not include outliers.
Which point, if added to the table, would be an outlier?
✔ (2.75, 41 )
Answer:
C. The data contains a group of closely occurring points
Step-by-step explanation:
Edge 2023
help me plssssssss :)
please help asap question 2*****
Answer:
(11, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x + y = 15
-2x + 5y = -2
Step 2: Define variables
Given: x = 11
Step 3: Solve for y
Define equation: x + y = 15Substitute in x: 11 + y = 15Isolate y: y = 41 As a part of her project, Flora made a scale drawing of the zoo with a scale factor of
1 inch = 5.77 feet. If the diameter of the bug carousel in the drawing was 3 inches, determine the
actual diameter of the carousel.
Answer:
honestly I have no idea
Step-by-step explanation:
1x-3x=2x
Y=3/2x+3
y=-3 solve.
You have $350,000 to invest. Which investment would yield the greater return in three years; an investment that pays 2.5% compounded monthly or an investment that pays 2.45% compounded daily?
Answer:
Its better to invest at 2.45% interest rate compounded daily.Step-by-step explanation:
We are given
Principal Amount = $350,000
Time t = 3 years
We need to determine which investment will yield greater return
a) 2.5% compounded monthly
b) 2.45% compounded daily
The formula used will be: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
a) 2.5% compounded monthly
We have P=$350,000 t= 3 years, r = 2.5 or 0.025 and n= 12
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.025}{12})^{12*3}\\A=350000(1.0021)^{36}\\A=350000(1.079)\\A=377650[/tex]
So, the return of investment in 3 years would be $377650 if interest rate is 2.5% compounded monthly.
a) 2.45% compounded daily
We have P=$350,000 t= 3 years, r = 2.5 or 0.025 and n= 365
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.0245}{365})^{365*3}\\A=350000(1.000067)^{1095}\\A=350000(2.0821)\\A=728735[/tex]
So, the return of investment in 3 years would be $728735 if interest rate is 2.45% compounded daily.
So, if we invest 2.45% interest rate that is compounded daily we will make $728735 while if we invest 2.5% interest rate that is compounded monthly we will make $377650
So, its better to invest at 2.45% interest rate compounded daily.
Which expression has both eight and N factors
Answer:
8n
Step-by-step explanation:
8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality can be used to find the number of sales she needs to make?
A. 100-15x ≤ 500
B. 100+15x ≤ 500
C. 100-15x ≥500
D. 100+15x ≥ 500
Answer:
its B I think so yea
Step-by-step explanation:
What is the slope of the line on the graph
Answer:
its 2
Step-by-step explanation:
for every 1 x value, the y increases by 2
a.
ordered pairs: {(4, –2), (0, 6), (2, 8)}
b.
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
c.
ordered pairs: {(4, –2), (0, 6), (8, 2)}
d.
ordered pairs: {(–2, 4), (6, 0), (8, 2)}
Please select the best answer from the choices provided
Answer:
Can you give me some more context?
What is the slope of the line?
Answer:
24'
Step-by-step explanation:
the slop aims for the angle in which the 78 can go in: hope this helps!!