The first four terms of the geometric sequence are -1, 11, -121, and -1210.
We have,
To find the first four terms of the geometric sequence, we need to determine the common ratio, r, and then use it to calculate the other terms.
We can start by using the formula for the nth term of a geometric sequence:
an = a1 x r^(n - 1)
where an is the nth term, a1 is the first term, r is the common ratio, and n is the position of the term we want to find.
Since we are given a2 and a3, we can use them to form two equations:
a2 = a1 x r
a3 = a1 x r²
We can then solve for a1 and r:
a1 = a2 / r = 11 / r
r = a3 / a2 = -121 / 11
Substituting these values into the formula for the nth term, we get:
an = (11 / r) x (-121 / 11)^(n - 2)
Simplifying this expression, we get:
an = -11 x 11^(n - 2)
Now we can calculate the first four terms:
a1 = 11 / r = 11 / (-121 / 11) = -1
a2 = 11
a3 = -121
a4 = -11 x 11^(4 - 2) = -1210
Therefore,
The first four terms of the geometric sequence are:
-1, 11, -121, -1210
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While taking part in a bicycle race, Michael only manages to cycle 4/5 of the way. His father manages to complete 9/11 of the race. Who rode the farthest
Step-by-step explanation:
so, the question is, what is bigger : 4/5 or 9/11.
to do this we need to bring both fractions to the same denominator (bottom part).
the least common multiple of 5 and 11 is simply 55.
4/5 = (4/5) × (11/11) = 44/55
9/11 = (9/11) × (5/5) = 45/55
as 45/55 > 44/55, we know now that 9/11 > 4/5, and that the father had therefore traveled the farthest.
5. Which of the expressions represent the distance between -8 and 7 on a
number line? Check all that apply.
A. 1-8 + 71
OB. 17+81
O C. -7+81
O D. 18-71
O E. 17-81
O F. 1-8-71
Answer:
[tex]\text{Option F $\rightarrow | -8 - 7|$}[/tex]
Step-by-step explanation:
The difference between -8 and 7 on the number line is
- 8 - 7 = -15
However, as distance is always positive so we take the absolute value of |-8 - 7| = 15
Answer: Option F ==> |-8 -7|
What is 12/15 in its simplest form ?
Answer: 4/5
Step-by-step explanation:
A 4-quart jug of water costs $7.04. What is the price per cup?
Answer:
A 4-quart carton of yogurt costs $7.04. The price per cup is $0.44 per cup.
Step-by-step explanation:
What is the price?
A price is the sum of money that one party pays or receives in exchange for another's goods or services. The cost of production may go by another name in some circumstances.
If a product is classified as a "good" in a commercial exchange, its price is most likely to be referred to as such.
4 quarts equal one gallon.
That makes 8 quarts ½ a gallon and 4 cups make one quart, as seen by the gallon man in the attachments.
4 quarts equal 16 cups, because 4 x 4 is 16.
$7.04 is the price for a four-quart carton of it.
Now, divide 7.04 by that number to find the price per cup.
7.04 / 16 = 0.44.
Therefore, the price per cup is $0.44 per cup.
in the past year there were 30 days on which accidents occurred along a certain stretch of highway 101. assume that the probability that an accident occurs on any one day is 30/365 and that each day is independent of the others. what is the probability that there will be no accidents during the first 2 weeks of january?
The probability that there will be no accidents during the first 2 weeks of January is calculated to be approximately 0.778 or 77.8%.
The first two weeks of January consist of 14 days, so we want to find the probability that no accidents occur in 14 days given that the probability of an accident occurring on any given day is 30/365. We can use the binomial distribution to solve this problem.
Let X be the number of accidents in 14 days. Then X follows a binomial distribution with n = 14 and p = 30/365. The probability of no accidents in 14 days is P(X = 0), which is given by the formula:
P(X = 0) = (n choose 0) x p⁰ x (1-p)⁽ⁿ⁻⁰⁾
where "n choose 0" is the number of ways to choose 0 accidents out of n days, which is simply 1.
Substituting n = 14 and p = 30/365, we get:
P(X = 0) = (1) x (30/365)⁰ x (1 - 30/365)⁽¹⁴⁻⁰⁾ ≈ 0.778
Therefore, the probability that there will be no accidents during the first 2 weeks of January is approximately 0.778 or 77.8%.
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The cost is $10 for SUV's and $5 for cars. Twenty-five percent of the money raised goes to the football team, thirty percent goes to the soccer team and the remaining percentage goes toward the basketball team. Write an expression to represent how much the soccer team and football team will receive.''
Answer:
Let's start with calculating how much money is raised in total:
- Let's assume there are x SUVs and y cars.
- The cost for one SUV is $10 and the cost for one car is $5.
- Therefore, the total cost for all SUVs is 10x and the total cost for all cars is 5y.
- The total cost is the sum of these: 10x + 5y.
Now we need to calculate how much money each team will get. We know that:
- 25% of the money goes to the football team. This can be written as 0.25(10x + 5y) or 2.5x + 1.25y.
- 30% of the money goes to the soccer team. This can be written as 0.3(10x + 5y) or 3x + 1.5y.
- The remaining percent goes to the basketball team. This is 100% - 25% - 30%, which is 45%. This can be written as 0.45(10x + 5y) or 4.5x + 2.25y.
Therefore, the expression to represent how much the soccer team and football team will receive is:
2.5x + 1.25y + 3x + 1.5y = 5.5x + 2.75y
The owner of a circular pool is wanting to put a sidewalk around the outside of the pool. If the radius of the pool is 10 feet, how long should the sidewalk be
According to the radius, the length of the sidewalk needs to be 62.8 feet to go around the pool.
In your case, the pool is circular, which means it has a center and a radius of 10 feet. Now, to find the length of the sidewalk, we need to know the circumference of the circle. The circumference is the distance around the circle and can be calculated using the formula:
circumference = 2 x π x radius
where pi is a mathematical constant that represents the ratio of the circumference of a circle to its diameter, approximately equal to 3.14.
Using the given radius of 10 feet, we can plug it into the formula:
circumference = 2 x 3.14 x 10 feet
which simplifies to:
circumference = 62.8 feet
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Is his speed limits above or below and by how much
Answer:
His speed is below the maximum speed llimit by 4960km/h
Step-by-step explanation:
elis drives at 40 mph the maximum is 50km/h
so, convert it into the same measurement and subtract
50 km is equal to 5000 miles
50-40 is 10
but if you subtract in is same measurement which is MOST LIKLEY TO BE CORRECT, THE AJSWER IS 4960 kmph
PLS MARK AS BRAINLIEST
sry can yall help me on this pls?
Calculate a double integral ∬D f(x, y) dxdy where D: y=x, y=x^2, x=3. and f(x, y) is (x-y)
The double integral ∬D f(x, y) dxdy = -35²⁸/₃₀
How to find the double integral?Given the double integral ∬D f(x, y) dxdy where D: y = x, y = x², x = 3. and f(x, y) is (x - y)
First, we find the points of intersection.
So, y = x, y = x²
x = x²
x - x² = 0
x(1 - x) = 0
x = 0 or 1 - x = 0
x = 0 or x = 1
So, we integrate x on the interval [0,1] ∪ [1,3]
So, we have that
∬Df(x, y) dxdy = ∬(x - y) dxdy
= ∬x dxdy - ∬y dxdy
= ∫x dx∫dy - ∫ydy∫dx
= ∫xydx - ∫dxy²/2
= ∫x(x - x²)dx - ∫dx(x - x²)²/2
= ∫x(x - x²)dx - ∫dx(x - x²)²/2
= ∫₀¹x²dx - ∫₀¹x³dx - ∫₁³x²dx/2 - ∫₁³2x³dx/2 + ∫₁³x⁴dx/2
= [x³/3]₀¹ - [x⁴]₀¹ - [x³]₁³/6 - [x⁴]₁³ + [x⁵]₁³/10
= [1³ - 0³] - [1⁴ - 0⁴] - [3³ - 1³]/6 - [3⁴ - 1⁴] + [3⁵ - 1⁵]/10
= 1 - 1 - [27 - 1]/6 - [81 - 1] + [243 - 1]/10
= 0 - 26/6 - 80 + 242/10
= - 26/6 - 80 + 242/10
= (-130 - 2400 + 726)/30
= -1078/30
= -35²⁸/₃₀
So, the double integral is -35²⁸/₃₀
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fg to the power of negative 1 over g to the power of 2
Answer:
= f / g^3.
Step-by-step explanation:
fg^-1 / g^2
= fg^(-1-2)
= fg^-3
= f / g^3.
which trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree
Trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree is sine.
Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch
We have to find the trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground.
We know that sine is the ratio of opposite side by hypotenuse
Here the ladder acts as the hypotenuse.
Hence, trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degree is sine.
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Catalina extends a ladder 15 feet and places it diagonally on a tree to get her cat that is perched on the lowest branch Which trigonometric ratio would she use to determine how high her cat was from the ground if the ladder formed a 65 degrees angle with the ground? Enter your answer as a single word (either sine, cosine)
suppose the earned run average (era) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. does the estimated regression equation that uses the era provide a good fit to the data? explain.
The R² and Ra² values for the estimated regression equation relating the average number is 0.5646 and 0.4912. If ERA is used as the dependent variable instead of average runs given up per inning pitched, the estimated regression equation does not provide a good fit to the data.
Using the given table, the estimated regression equation relating the average number of runs given up per inning pitched, average number of strikeouts per inning pitched, and average number of home runs per inning pitched is
Runs per IP = -1.213 + 9.432 (SO per IP) - 11.909 (HR per IP)
Using this equation, we can calculate the predicted values of runs per IP for each player in the table and compare them to the actual values. R^2 is a measure of how well the regression equation fits the data and is calculated as the proportion of the total variation in the dependent variable (runs per IP) that is explained by the independent variables (SO per IP and HR per IP).
Using the regression equation and the data in the table, we can calculate R² as follows
SSR = ∑(predicted runs per IP - mean runs per IP)² = 57.102
SSE = ∑(actual runs per IP - predicted runs per IP)² = 44.033
SST = ∑(actual runs per IP - mean runs per IP)² = 101.135
R² = SSR / SST = 57.102 / 101.135 = 0.5646 (rounded to four decimal places)
Ra² is the adjusted R², which takes into account the number of independent variables in the regression equation and adjusts R² accordingly to penalize for overfitting. Ra² is calculated as follows
Ra² = 1 - (SSE / (n - k - 1)) / (SST / (n - 1))
where n is the sample size and k is the number of independent variables.
Using the values calculated above, we can calculate Ra² as follows
Ra² = 1 - (44.033 / (21 - 2 - 1)) / (101.135 / (21 - 1)) = 0.4912 (rounded to four decimal places)
Therefore, R² is 0.5646 and Ra² is 0.4912.
If we use ERA as the dependent variable instead of runs per IP, we would need to estimate a new regression equation. However, since ERA is also based on runs given up per IP, it is likely that the new regression equation would provide a similar fit to the data. The quality of the fit would depend on the relationship between ERA, SO per IP, and HR per IP.
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--The given question is incomplete, the complete question is given
" Player Team w W L ERA SO/IP / HR/IP R/IP Verlander, DET 24 5 5 2.40 1.00 0.10 0.29 Beckett, BOS 13 7 2.89 0.91 0.11 0.34 Wilson, C TEX 16 7 2.94 0.92 0.07 0.40 Sabathia, c NYY 19 8 3.00 0.97 0.07 0.37 Haren, D LAA 16 10 3.17 0.81 0.08 0.38 McCarthy, B OAK 9 9 3.32 0.72 0.06 0.43 Santana, E LAA | 11 12 3.38 0.78 0.11 0.42 Lester, BOS 15 9 3.47 0.95 0.10 0.40 Hernandez, F SEA | 14 | 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 9 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 10 4.00 0.82 0.13 0.52 Tomlin, CLE 12 7 4.25 0.54 0.15 0.48 Pavano, c. MIN 9 13 4.30 0.46 0.10 0.55 Danks, CWS 8 8 12 4.33 0.79 0.11 0.52 Guthrie, BAL 9 17 4.33 0.63 0.13 0.54 Lewis, TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 9 9 4.43 0.89 0.15 0.52 Davis, W TB | 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 14 9 4.75 0.57 0.10 0.57
B OAK 9 9 3.32 0.72 0.06 0.43 Santana, E LAA | 11 | 12 3.38 0.78 0.11 0.42 Lester, BOS 15 9 9 3.47 0.95 0.10 0.40 Hernandez, F SEA | 14 14 3.47 0.95 0.08 0.42 Buehrle, M CWS 13 9 3.59 0.53 0.10 0.45 Pineda, M SEA 9 10 3.74 1.01 0.11 0.44 Colon, B NYY 8 8 10 4.00 0.82 0.13 0.52 Tomlin, CLE 12 7 4.25 0.54 0.15 0.48 Pavano, MIN 13 4.30 0.46 0.10 0.55 Danks, CWS 8 8 12 4.33 0.79 0.11 0.52 Guthrie, BAL 9 17 4.33 0.63 0.13 0.54 Lewis, C TEX 14 10 4.40 0.84 0.17 0.51 Scherzer, M DET 15 9 4.43 0.89 0.15 0.52 Davis, W TB 11 10 4.45 0.57 0.13 0.52 Porcello, R DET 4.75 0.57 0.10 0.57
An estimated regression equation was developed relating the average number of runs given up per inning pitched given the average number of strikeouts per inning pitched and the average number of home runs per inning pitched. What are the values of
R2 and Ra2?
(Round your answers to four decimal places.)
R2=
Ra2=
suppose the earned run average (era) is used as the dependent variable in the estimated regression equation from (a) instead of the average number of runs given up per inning pitched. does the estimated regression equation that uses the era provide a good fit to the data? explain."--
Angelia lives 2 1/3 miles from school. she rides her bicycle to school and back each day for 5 days. how many miles does she ride in 5 days
Answer: Angelia rides 23.33 miles in 5 days.
Step-by-step explanation:
Angelia lives 2 1/3 miles from school, which is equivalent to 2 + 1/3 = 2.333 miles. She rides her bicycle to school and back each day, so she travels twice the distance daily.
Daily distance = 2 × 2.333 miles = 4.666 miles
She does this for 5 days, so the total distance she rides in 5 days is:
Total distance = 4.666 miles/day × 5 days = 23.33 miles
So, Angelia rides 23.33 miles in 5 days.
Answer:23.5 miles (i think)
Step-by-step explanation:
If Angelia bikes 2 1/3 miles 2 times everyday that means she would ride about 4.7 miles per day. In 5 days she would ride 23.5 miles because 4.7 times 5 is 23.5
24°
37°
please help me i'm so confused!! thank you :))
The value of the angle 1 of the given triangle is: ∠1 = 119°
What is the missing angle in the triangle?The sum of angles in a triangle is equal to 180 degrees. This means that when we add the three interior angles in any triangle, it must yield a sum equal to 180 degrees.
Now, we are given two angles in the triangle which are:
∠2 = 24°
∠3 = 37°
Thus:
∠1 = 180 - (24 + 37)
∠1 = 180 - 61
∠1 = 119°
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HELPPPPPPPPPPPPPPPPPPPPPPPP
Answer: 9
Step-by-step explanation:
4(x+4)=6² It's the 2 parts of the secant multiplied = tangent part squared
4x+16=36
4x=20
x=5
What is the surface area of this triangular pyramid?
8 mm
8 mm
6.9 mm
8 mm
8 mm
Step-by-step explanation:
To calculate the surface area of a triangular pyramid, we need to find the area of each triangular face and add them together.
Using the formula for the area of a triangle (base x height / 2), we can find the area of one of the triangular faces:
base = 8 mm
height = 6.9 mm
area = (8 mm x 6.9 mm) / 2 = 27.6 mm²
Since there are four triangular faces, the total surface area of the pyramid is:
4 x 27.6 mm² = 110.4 mm²
Therefore, the surface area of this triangular pyramid is 110.4 mm².
Please help now!!!
Line of best fit
The image shows a strong positive correlation in the scatter plot.
How do you know a strong positive correlation?A scatterplot is a graph that shows how two variables are related to one another.
A tight cluster of points surrounding an upward-sloping straight line on the scatterplot indicates a significant positive correlation between the two variables.
We can see that the points on the scatter plot are slopping upwards and also they can be seen to be close together hence we can conclude that what we have is a strong positive correlation.
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suppose that family incomes in the town of hawkins, indiana are normally distributed with a mean income of $75,000 and a standard deviation of $30,000. if the poverty level is $25,000, what proportion of hawkins' population is living in poverty? round your answer to four decimal places (include a zero if necessary). what is the income of a family in hawkins in the 90th percentile? round your answer to two decimal places (include a zero if necessary and do not include a dollar ($) sign in your answer.
Approximately 4.75% of the population in Hawkins is living in poverty. and a family in Hawkins in the 90th percentile has an income of $109,400.
To determine the proportion of the population in Hawkins living in poverty, we need to find the area under the normal distribution curve to the left of the poverty level of $25,000. We can do this by standardizing the poverty level using the formula:
Z = (X - μ) / σ
Where X is the poverty level, μ is the mean income, and σ is the standard deviation. Plugging in the values, we get:
Z = (25,000 - 75,000) / 30,000 = -1.67
Using a standard normal distribution table or calculator, we can find that the proportion of the population to the left of Z = -1.67 is 0.0475.
To find the income of a family in Hawkins in the 90th percentile, we need to find the income value that corresponds to a Z-score of 1.28. Again, using the standardization formula, we get:
Z = (X - μ) / σ
1.28 = (X - 75,000) / 30,000
Solving for X, we get:
X = 109,400
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if your research objective is to summarize the data in the sample, we should use percentages if the variable has a metric scale. true false
False. The question is regarding summarizing data in a sample and the use of percentages for metric scale variables.
Percentages are typically used for categorical data, whereas metric scale variables are better summarized using measures of central tendency like mean, median, and mode. Percentages are more appropriate for variables with nominal or ordinal scales.
If the variable has a metric scale, we should use measures of central tendency (such as mean or median) and measures of dispersion (such as standard deviation or range) to summarize the data.
Thus, the question is regarding summarizing data in a sample and the use of percentages for metric scale variables is a incorrect statement.
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The table below shows the number of people that wear rebook and Nike brand shoes in Alabama and Alaska what is the percentage of people from Alabama that wear rebook shoes
A teacher has a prize box that has 6 fidgets,2 rubix cubes,and 2 pop its-as well as a bag of candy that has 4 lollipops and 3 pieces of chocolate. Esther wins the weekly prize in class and can pick one toy from the prize box and one candy from the candy bag. What is the probability she will pick a fidget and a piece of chocolate?
A)7/42
B)9/35
C)1/5
D)7/23
Regarding resolving the given issue, we have The sum of these probabilities is the likelihood of selecting a fidget and a piece of chocolate, which is (6/10) x (3/7) = 18/70 = 9/35.
What is equation?A mathematical equation is a formula that connects two claims and uses the equals symbol (=) to denote equivalence. An equation in algebra is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The relationship between the two sentences that are written on each side of a letter may be understood using a mathematical formula. The symbol and the single variable are frequently the same. as in, 2x - 4 equals 2, for instance.
Esther has a total of 48 options available to her, which is equal to the product of her toy and candy options (6+2+2) x (4+3).
selecting a fidget from the reward box has a 6/10 chance of happening, while selecting a chocolate bar from the sweets bag has a 3/7 chance.
The sum of these probabilities is the likelihood of selecting a fidget and a piece of chocolate, which is (6/10) x (3/7) = 18/70 = 9/35.
Consequently, the response is (B) 9/35.
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The following iterative formula gives an
approximate value for x in the cuboid
below, where all lengths are given in
centimetres:
3
Xn+1 60 – 2x²/12
Use this formula to work out an
approximate value of x, starting with
X1
= 3.
Give your answer to 2 d.p.
Volume = 60 cm³
X
=
X
-
x+2
The approximate value of x starting from x₁ = 3 in xₙ₊₁ = ∛(60 - 2xₙ²) is 3.35
Working out an approximate value of xFrom the question, we have the following parameters that can be used in our computation:
xₙ₊₁ = ∛(60 - 2xₙ²)
Starting with x₁ = 3, we have
x₁₊₁ = ∛(60 - 2x₁²)
This gives
x₂ = ∛(60 - 2(3)²)
Evaluate
x₂ = 3.48
Calculating x₃, we have
x₃ = ∛(60 - 2(3.48)²)
Evaluate
x₃ = 3.30
Calculating x₄, we have
x₄ = ∛(60 - 2(3.30)²)
Evaluate
x₃ = 3.37
Calculating x₅, we have
x₅ = ∛(60 - 2(3.37)²)
Evaluate
x₅ = 3.34
Calculating x₆, we have
x₆ = ∛(60 - 2(3.34)²)
Evaluate
x₆ = 3.35
Calculating x₇ we have
x₇ = ∛(60 - 2(3.35)²)
Evaluate
x₇ = 3.34
Calculating x₈, we have
x₈ = ∛(60 - 2(3.34)²)
Evaluate
x₈ = 3.35
See that the values of x is stucked at 3.34 and 3.35
This means that the value of x is x = 3.35
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help me out w this pls
If OQ and RT are parallel lines and mRSU = 113.8°, what is mQPN
Using the Alternate exterior angles theorem, the measure of angle QPN, m ∠QPN, is 113.8°
Calculating the measure of anglesFrom the question, we are to determine the measure of angle QPN in the given diagram.
To determine m ∠QPN, we will use The Alternate exterior angles theorem
The Alternate Exterior Angles Theorem states that, when two parallel lines are cut by a transversal, the resulting alternate exterior angles are congruent.
In the given diagram,
Angle RSU and Angle QPN are alternate exterior angles.
Thus,
We can write that
m ∠RSU = m ∠QPN
From the given information,
m ∠RSU = 113.8°
Hence,
m ∠QPN = 113.8°
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60,192 visitors/minute = _____ visitors/day
Please show ur work
Answer: 86,676,480 Visitors!
Step-by-step explanation:
There are 1,440 minutes per day and if there are 60,192 visitors per day, by multiplying 1,440 by 60,192 you would get 86,676,480.
If your p-value is .11, and the significance level is .05, what do you conclude?
If the p-value is .11 and the significance level is .05, we conclude that there is not enough evidence to reject the null hypothesis at the 5% significance level.
If your p-value is 0.11 and the significance level is 0.05, you conclude that there is insufficient evidence to reject the null hypothesis. Since the p-value is greater than the significance level, you cannot determine a statistically significant difference or relationship.
In other words, we cannot conclude that there is a significant difference between the groups being compared.
However, it is possible that there is a small effect or difference that we are unable to detect with our sample size and statistical test.
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Please find it quickly
The area of the shaded portion when a right triangle is removed from a rectangle, is 50 yd².
What is a rectangle?
A rectangle is a plane shape that has four sides, with pair of opposite sides equal.
To calculate the area of the shaded portion when a right triangle is removed from a rectangle,we use the formula below
Formula:
A' = (Length of the rectangle×Width of the rectangle)-(1/2×base of the triangle×height of the triangle)................... Equation 1
Where:
A' = Area of the shaded regionLength of the rectangle = 9 ydWidth of the rectangle = 6 ydBase of the triangle = 4 ydHeight of the rectangle = 2 ydSubstitute these values into equation 1
A' = (9×6)-(4×2/2)A' = 54-4A' = 50 yd²Hence, the area of the shaded region is 50 yd².
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15 Select the correct answer. Each statement describes a transformation of the graph of f(x) = x. Which statement correctly describes the graph of g(x) if g(x) = f(x - 11)? A. It is the graph of f(x) translated 11 units to the left. B. It is the graph of f(x) translated 11 units up. C. It is the graph of f(x) translated 11 units to the right. D. It is the graph of f(x) where the slope is increased by 11.
Keith bought a rechargeable digital pen for his tablet. The digital pen uses 3/5 of a cell’s power each hour. How many hours will the digital pen work with 3 cells? The digital pen will work for a hours with the 3 cells. Hint:
To find the number of hours the digital pen will work with 3
cells, find how many 3/5
are in 3?
The number of hours for the digital pen work with 3 cells would be 5.
Given that,
For his tablet, Keith bought a rechargeable digital pen.
The digital pen uses [tex]\dfrac{3}{5}[/tex] of a cell’s power each hour.
Here, The digital pen uses [tex]\dfrac{3}{5}[/tex] of a cell’s power each hour.
Hence, the number of hours for 1 cell,
[tex]1 cell = \dfrac{1}{3/5}[/tex]
[tex]1 cell = \dfrac{5}{3} \ \text{hours}[/tex]
Therefore, the number of hours the digital pen will work with 3 cells is,
[tex]3 \ \text{cell} = 5\ \text{hours}[/tex]
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