Answer:
A=1/8
B=1/2
C=3/4
Step-by-step explanation:
i looked at the distance to get my answer. 1/2 and 3/4 r closer sooo
You drop a ball from a height of 1.5 meters. Each curved path has 71% of the height of the previous path.
a. Write a rule for the sequence using centimeters. The initial height is given by the term n = 1.
b. What height will the ball be at the top of the sixth path?
a) The rule that represents the height as a function of the number of bounces is described by H(n) = 1.5 · (71 / 100)ˣ⁻¹. (Correct choice: B)
b) The height at the top of the sixth path is equal to 0.27 meters. (Correct choice: B)
How to represent a bounces of a ball by geometric sequence formula
In this problem we need to derive the equation that represents maximum height as a function of the number of bounces:
H(n) = a · (r / 100)ˣ⁻¹
Where:
a - Initial height, in meters.r - Height ratio, in percentage. x - Number of bounces.If we know that a = 1.5 m and r = 71, then the rule for the sequence is:
H(n) = 1.5 · (71 / 100)ˣ⁻¹
And the height at the top of the sixth path:
H(6) = 1.5 · (71 / 100)⁶⁻¹
H(6) = 0.27 m
To learn more on exponential functions: https://brainly.com/question/11154952
#SPJ1
Chocolate sprinkles cost as much per pound as sugar. Find 1/10 the baker's total cost for 100 pounds of chocolate sprinkles. Explain the number of zeros and the placement of the decimal in your answer using a place value chart.
The total cost of chocolate sprinkles is $800
Place value chartsThis is an implementation of the numeral system that shows the value of each digit in a number using their positions
From the complete question, we have the following parameters:
Unit rate = $8.00Total pounds = 100Total cost of chocolate sprinklesSo, the total cost of chocolate sprinkles is calculated using the following formula
\(Unit = \frac{Total}{Pounds}\)
This gives
\(\$8.00= \frac{Total}{100}\)
Multiply both sides of the equations by 100
\(Total = \$8.00 \times 100\)
\(Total = \$800\)
Hence, the total cost of chocolate sprinkles is $800
Read more about place value charts at:
https://brainly.com/question/12386995
You need to make 48 servings of roast beef gravy. Each serving takes .75 cups of brown stock. How many quarts of brown stock do you have to make
Answer:16 q
Step-by-step explanation:
John ran up and $88 Bill last Saturday the service was excellent so we decided to leave a 30% tip for the waitress how much was his tip
$26.40
ten percent is 88 divided by 10= 8.8
8.8 multiplied by 3 is 26.40
Apply the square root principle to solve (x – 2)^2 + 20 = 0.
Question 1 options:
A)
x = 2 + 2i , x = 2 – 2i
B)
x = –2 + 2i , x = –2 – 2i
C)
x = 2 + 2 , x = 2 – 2
D)
x = –2 + 2, x = –2 – 2
Answer:
швлалалаось.чллслслслсб вщлалс
10 + 2x = 8 Can someone help me with this I forgot how to do this. Also please do a step by step please so i could use it to look off of for future problems.
Answer:
x = -1
Step-by-step explanation:
So you gotta work backwards a little bit here
Think about it as...
You have 10 of something, and you have to have 8 of them
Now typically you'd just subtract but in this problem it wants you to add a number
Soooo that means it has to be a negative number that you're adding
Ten plus what number would be 8? -2
So x must equal -1
2 x -1 = -2
And 10 + -2 = 8
Hope this makes sense! :)
Find the m/1
3°
(9x - 5)
1
(4x + 10)°
Answer:
∠ 1 = 158°
Step-by-step explanation:
(9x - 5) and (4x + 10) are vertically opposite angles and are congruent, so
9x - 5 = 4x + 10 ( subtract 4x from both sides )
5x - 5 = 10 ( add 5 to both sides )
5x = 15 ( divide both sides by 5 )
x = 3
then
4x + 10 = 4(3) + 10 = 12 + 10 = 22°
∠ 1 and (4x + 10) are a linear pair and sum to 180° , that is
∠ 1 + 22° = 180° ( subtract 22° from both sides )
∠ 1 = 158°
-5 1/4 -(-7 1/2) simplify
really fast pleas
Question regarding proportions and inference - What is the proportion of tourists who visit Skydeck Willis Tower in Chicago? One hundred fifty tourists visiting Chicago voluntarily filled out a questionnaire. Sixty-three of them indicated that they had visited Skydeck Willis Tower or were planning on doing so. To answer the question above one would calculate:
Question 2 options:
Answer:
gang
Step-by-step explanation:
ion
Can I get help with this one too?
Using the concept of simple interest and compound interest, the first equation is \(S = 200(1.1)^t\), while the second is S = 250 + 20t
c. It will take over 7 years for the accounts to be equal.
What is the similarities and difference between simple interest and compound interest?The similarities between simple interest and compound interest is that both deals with saving of money over certain period of time with a fixed rate. While the difference between both is that in compound interest, the interest are compounded while in simple interest it is not. This implies that compound interest is an exponential function while simple interest is a linear function.
Simple interest = P(1 + rt)
P = principalr = ratet = timeCompound interest = P(1 + r/n)ⁿˣ
x = time in this casen = number of times compoundedTo solve this, we can write equations;
For the first scenario;
\(S = 200(1.1)^t\)
S = amount in accountt = timeFor the second scenario;
S = 250 + 20t
NB: The first case is a compound interest while the second is a simple interest.
c. To determine when the two accounts will be equal;
\(250 + 20t = 200(1.1)^t\)
Solving for t;
t = 7.01 ≈ 7 years
Therefore, it will take over 7 years for the accounts to be equal
Learn more on compound interest and simple interest here;
https://brainly.com/question/24274034
#SPJ1
Find the probability that a randomly
selected point within the square falls in the
red-shaded circle.
6
18
18
P =
The probability of landing on the red shaded circle is 6/18
Concept of probabilityProbability simply measures the chances at which an event could occur in a sample or population.
Mathematically, Probability is calculated thus:
P(X) = required outcome/ Total possible outcomesHere ,
Required = red circle = 6Entire circle = 18P(red circle ) = 6/18
Therefore, the probability is 6/18
Learn more on probability:https://brainly.com/question/24756209
#SPJ1
QUESTION DOWN BELOW
PLEASE HELP DUE SOON, AND SO CONFUSED
Answer:
144 km
Step-by-step explanation:
Can I have some help I don't really understand this question.
Answer:
40 square units
Step-by-step explanation:
This is a rhombus, so you multiply the two diagonals and divide by 2.
8x10÷2=40
Help me pleasee! I dont understand this!
Help me please hurry!!
Answer:
answer is 36 centimeter
Step-by-step explanation:
volume of a cylinder=πr^2h
1696=3.14*r^2*15
1696=47.1=r^2
1696-47.1=r^2
1648.9=r^2
\(\sqrt{1648.9}\) =r
40.60 =r
here according to the question and option given 40.60 is closest to 36 centimeters.so answer is option d.
Please see screenshot.
Answer:
See below
Step-by-step explanation:
Work out the volume of the prism height of 12 4 and five
The calculated volume of the prism is 702 cubic cm
Finding the volume of the prismFrom the question, we have the following parameters that can be used in our computation
The trapezoidal prism (see attachment)
The formula of the volume of a trapezoidal prism is
Volume = Base area * Height
Where we have
Base area = 1/2 * (8 + 10) * 6
Evaluate the sum of 8 and 10
Base area = 1/2 * 18 * 6
Evaluate the products of 1/2, 18 and 6
Base area = 54
Also, we have
Height = 13
So, the volume is calculated as
volume = 13 * 54
Evaluate
volume = 702
Hence, the volume of the prism is 702 cubic cm
Read more about volume at
brainly.com/question/463363
#SPJ1
△CDE∼△PQR. CD=9 m, EC=15 m, PQ=15 m. What is the length of RP?
Answer:
RP = 25
Step-by-step explanation:
since the triangles are similar then the ratios of corresponding sides are in proportion, that is
\(\frac{RP}{EC}\) = \(\frac{PQ}{CD}\) ( substitute values )
\(\frac{RP}{15}\) = \(\frac{15}{9}\) ( cross- multiply )
9 RP = 15 × 15 = 225 ( divide both sides by 9 )
RP = 25
He buys a jewel for $180 then sells it for $216 find his percentage profit
The difference between the selling price and the cost price is the profit he earned.
Profit = Selling Price - Cost Price
Profit = $216 - $180
Profit = $36
To find the percentage profit, we need to calculate what proportion of the cost price the profit represents, and express that as a percentage :
Percentage Profit = (Profit : Cost Price) * 100%
Percentage Profit = ($36 : $180) * 100%
Percentage Profit = 0.2 * 100%
Percentage Profit = 20%
Therefore, his percentage profit is 20%.
Dewan’s bank account balance is -$16.75. He deposits checks totaling $23.59. What is his new balance? -$1.08
Answer:
$6.84
Step-by-step explanation:
This is quite a simple question, simply add the new deposited amount into the original balance to get your answer.
Original balance: -$16.75Deposit: $23.59New balance: -$16.75 + $23.59 = $6.84find the surface area
The surface area of the given sphere is 764.15 square inches.
Given that, the sphere has diameter = 15.6 inches.
Here, radius = 15.6/2 = 7.8 inches
We know that, surface area of a sphere is 4πr².
Now, surface area = 4×3.14×7.8²
= 764.15 square inches
Therefore, the surface area of the given sphere is 764.15 square inches.
Learn more about the sphere here:
https://brainly.com/question/12390313.
#SPJ1
Help me complete this
Answer:
x = 9.9 in.
Step-by-step explanation:
area of triangle = base * height /2
49 = x*x /2
49*2 = x^2
98 = x^2
\(\sqrt{98}\) = x
\(7\sqrt{2}\) = x
9.9 = x
Robert is pulling his little red wagon forward with a force of 220N by holding
the handle at a 60' angle, His brother is pushing the wagon with a force of 300N,
Find the magnitude and the direction of the resultant force on the wagon,
Show all the steps
Answer:
wala bang example ng formula para masagutan yan kung meron palagay naman para masagutan ko.
kirans mother gets a restuarant bill for 25$ she has a coupon for 15% off what is the amount after the discount is applied
The amount after the discount is applied would be $21.25.
What is the percentage?
The percentage is defined as a ratio expressed as a fraction of 100.
As per the question, the given data as:
Bill amount = 25$
Coupon for 15% off
The amount after the discount can be calculated as:
⇒ 25$ - 15% of 25$
15% is expressed as 15/100 in fractional form
⇒ 25 - (15/100)(25)
15/100 is expressed as 0.15 in decimal form
⇒ 25 - (0.15)(25)
⇒ 25 - 3.75
⇒ 21.25
Thus, the final amount would be $21.25.
To learn more about the percentage discount click here:
https://brainly.com/question/16524608
#SPJ1
Three city streets form a right triangle. Main Street and State Street are perpendicular. Laura Street and State Street intersect at a 50° angle. The distance along Laura Street to Main Street is 0.8 mile. If Laura Street is closed between Main Street and State Street for a festival, approximately how far (to the nearest tenth) will someone have to travel to get around the festival if they take only Main Street and State Street?
Distance a person has to travel to get around the festival if they take only Main Street and State Street is 1.1 mile
Explanation:We need an illustration of the scenario in the question:
We are informed Laura street is closed for a festival. To get around the festival by taking Main street and State street, we need to find the distance along Main street and State street as well as the distance along State street and Laura street
To get the distance along Main street and State street, we will apply sine rule
\(\begin{gathered} \sin \text{ 50}\degree\text{ = }\frac{opp}{hyp} \\ \sin \text{ 50}\degree\text{ = }\frac{opp}{0.8} \\ \text{opp = 0.8(sin50}\degree) \\ \text{opp = 0.6128} \end{gathered}\)To get the distance along State street and Laura street, we will apply cosine rule
\(\begin{gathered} \cos \text{ 50}\degree\text{ = }\frac{\text{adj}}{\text{hyp}} \\ \cos \text{ 50}\degree\text{ = }\frac{adj}{0.8} \\ \text{adj = 0.8(}\cos \text{ 50}\degree) \\ \text{adj = 0.5142} \end{gathered}\)Distance a person has to travel to get around the festival if they take only Main Street and State Street = distance along Main street and State street + distance along State street and Laura street
= 0.6128 + 0.5142
= 1.1270
To the nearest tenth = 1.1 mile
Distance a person has to travel to get around the festival if they take only Main Street and State Street is 1.1 mile
A spinner is spun 300 times. The spinner lands on D 36 times. What percentage is this?
Selected financial data for Amberjack Corporation follows.
We provide recruitment solutions for your Future Talent and Volume Hiring needs. Platform. Services.
Define Decimal place?
A decimal number is a number that consists of a whole number and a fractional part separated by a point. For example – 3.5, 6.79, 78.32 etc. In the figure given above, the decimal point separates the whole number 42 from the fractional part . In words, it is written as Forty Two Point Eight Five.One decimal place to the left of the decimal point is the ones place. One decimal place to the right of the decimal place is the tenths place. Keep your eye on the 9 to see where the decimal places fall.Rounding a decimal number to two decimal places is the same as rounding it to the hundredths place, which is the second place to the right of the decimal point. For example, 2.83620364 can be round to two decimal places as 2.84, and 0.7035 can be round to two decimal places as 0.70.To learn more about decimal place refers to:
https://brainly.com/question/29423712
#SPJ1
pls helppppp it's hard :(
Answer:
The answer is A .
Step-by-step explanation:
Good luck ;)
which one of these points lies on the line described by the equation below y - 5 = 6 ( x - 7 )
Answer:
the answer would be (7,5)
HELP ASAP!!! WILL MARK BRAINLIEST IF RIGHT!
Mr. Mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a constant rate. After 6 minutes, he was 161616 meters below the ground.
Let y represent Mr. Mole's altitude (in meters) relative to the ground after x minutes.
Complete the equation for the relationship between the altitude and number of minutes.
y=
Answer:
try dividing 161616 with 7 but I don't know what to do with the 6 sorry
Answer:
y=−1.5x−7
Step-by-step explanation:
mr. mole is descending as a constant rate, which means a linear equation. So, we must put it into slope-intercept form: y=mx + b, with m being slope or constant rate, and b being y-intercept