The expression that could be used to predict the number of ants on the banana peel after n minutes is given as follows:
5 + 7n.
What is an arithmetic sequence?An arithmetic sequence is a sequence of values in which the difference between consecutive terms is constant, being called common difference d.
The nth term of an arithmetic sequence is given by the explicit formula presented as follows:
[tex]a_n = a_1 + (n - 1)d[/tex]
In this problem, the difference between consecutive terms is of 7, meaning that it represents an arithmetic sequence with a common difference of 7.
The first term is of 12, hence we obtained the explicit formula as follows:
12 + 7(n - 1) = 12 + 7n - 7 = 5 + 7n.
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What is an undefined slope
Answer: The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).
Step-by-step explanation:
I hope it helped! :)
Just curious to know
Therefore, if Jane had left a message on every call, you would have gotten 670 voicemails. The solution is 670.
what is percentage ?Since "percent" is a slang term for "per hundred," when we discuss percentages, we are speaking to a fraction of a hundred. In a variety of contexts, including math, science, finance, and daily living, percentages are used. The percent sign (%) is commonly used to denote percentages. As an illustration, to determine what proportion of 50 apples are red, you would split the number of red apples by the total number of apples and multiply the result by 100.
given
If Jane had phoned 1,000 times and you had allowed 67% of those calls to go to voicemail, then 67% of those calls would have left voicemails for you.
You can multiply the overall number of calls by the proportion of calls that went to voicemail to determine how many voicemails you would have received:
1000 x 67% = 670
Therefore, if Jane had left a message on every call, you would have gotten 670 voicemails. The solution is 670.
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The complete question is :-
Jane called one thousand times to tell you she's sorry. If you saw she was calling and let your phone go to voicemail 67% of the time, how many voicemails would you have received if she left one each time?
Possible Answers:
3,700
57,000
67
None of the given answers
670
Consider the table shown at left . What is the value of g( f ( -1) )
Answer:
4
Step-by-step explanation:
f(-1) = 2
g(2)= 4
Angles M, N, and P are supplementary.
What is the measure of angle P?
60°
34°
45°
36°
Step-by-step explanation:
The measure of angle p is 60°
ALGEBRA HW!! I WILL GIVE BRAINLYEST
please answer both questions parts.
The table of original value and rounded values are
x y
0.2 0
0.5 1
0.9 1
1.08 1
1.49 1
1.72 2
2.3 2
2.94 3
The graph is attached
How to make the graphThe graph is made in a cartesian coordinate by tracing the point of intersection of the two points
The table is represented as ordered pair as (original value, rounded value) for the given x and y values:
(0.2, 0), (0.5, 1), (0.9, 1), (1.08, 1), (1.49, 1), (1.72, 2), (2.3, 2), (2.94, 3)
The graph is a scattered plot and its attached
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4. The fence around a circular pool is 75 ft long.
Diameter:0ft
Radius:0ft
Is it radius diameter or circumference
The resultant values are as follows:
Radius = 11.94 ft; Diameter: 23.87 ft; Circumference = 75 ft
What is the circumference?The circumference of a circle or ellipse in geometry is its perimeter.
That is, if the circle were opened up and straightened out to a line segment, the circumference would be the length of the arc.
The curve length around any closed figure is more often referred to as the perimeter.
The length of a circle's outline is referred to as its circumference, and the length of a form with straight sides is referred to as its perimeter.
So, since the fence around the circular pool is given, then it will also be the value of the circumference of the pool.
Circumference = 75 ft
Radius:
2πr = 75
r = 75/2π = 75/(2×3.14) ≈ 11.937
radius = 11.94 ft
Diameter:
2r = 2×11 ≈ 23.87 ft
Therefore, the resultant values are as follows:
Radius = 11.94 ft; Diameter: 23.87 ft; Circumference = 75 ft
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Complete question:
The fence around a circular pool is 75 ft long. Find: Radius, Diameter, and Circumference.
abet level 4 Life orientation 2023 final
Suppose P(E)=0.43. Find P (Ec)
The probability of the complementary event of E occurring is 0.57.
What is probability?
Probability is a branch of mathematics that deals with the study of random events or phenomena. It is a measure of the likelihood or chance of an event occurring, expressed as a number between 0 and 1, with 0 indicating that the event is impossible and 1 indicating that the event is certain to happen.
In probability theory, P(E) represents the probability of an event E occurring, while P(Ec) represents the probability of the complementary event of E occurring. The complementary event of E is the event that E does not occur. In other words, it consists of all outcomes that are not in E.
To find P(Ec), we can use the formula:
P(Ec) = 1 - P(E)
where 1 represents the total probability of all possible outcomes.
In this case, we are given that P(E) = 0.43. Substituting this value into the formula, we get:
P(Ec) = 1 - P(E)
P(Ec) = 1 - 0.43
P(Ec) = 0.57
Therefore, the probability of the complementary event of E occurring is 0.57.
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A seed company planted a floral mosaic of a national flag. The perimeter of the flag is 2,120 ft Determine the flag's width and length if the length is 400 ft greater than the width.
The flag's width is and the length is what?
PLEASE HURRY
Answer:
Step-by-step explanation:
Let's assume that the width of the flag is "w" ft.
According to the problem, the length of the flag is 400 ft greater than the width, which means it can be expressed as:
length = w + 400
Now, we know that the perimeter of the flag is 2,120ft. The perimeter of a rectangle is given by:
perimeter = 2(length + width)
Substituting the values, we get:
2120 = 2[(w+400) + w]
2120 = 2[2w + 400]
2120 = 4w + 800
4w = 1320
w = 330
Hence, the width of the flag is 330ft.
From our equation for the length, we have:
length = w + 400
length = 330 + 400
length = 730
Therefore, the length of the flag is 730ft.
I need help on this
Answer:
first name is pentagon
second is decagon
third is heptagon
Step-by-step explanation:
first is irregular
second is regular
third is irregular
Help ASAP DUE IN 30 MINUTES
Answer:
53 in2 is the answer for this question
Answer:
53
Step-by-step explanation:
If you divide the figure into two parts by extending the 4 in side, you get a right triangle and a rectangle.
Area of rectangle:
6*8 = 48 in²
Area of triangle:
1/2*(13 - 8)*(6 - 4) = 1/2 times 5 times 2 = 5 in²
Total area is:
48 + 5 = 53 in²
hope this helps x
Find the matrix A such that
A
1 0
−1 3
=
−1 −3
1 6
A = [-4/3 -1/3; 10 10/3] is the matrix that fulfills the equation A × [1 0; -1 3] = [-1 -3; 1 6].
What in mathematics is a matrix?Rows and sections of integers are arranged in a matrix. Learn about matrices' lengths and components as you begin your study of them. A rectangle matrix is a grouping of integers into rows as well as columns. The matrix A, for instance, has two rows along with three columns.
To find the matrix A, we need to solve the matrix equation:
A × [1 0; -1 3] = [-1 -3; 1 6]
We can do this by multiplying both sides by the inverse of [1 0; -1 3] on the left:
A × [1 0; -1 3] × [3 0; 1 1/3] = [-1 -3; 1 6] × [3 0; 1 1/3]
Simplifying the left-hand side using the associative and commutative properties of matrix multiplication, we get:
A × [3 0; -1 1] = [-3 -1; 10 3]
Now, we can solve for A by multiplying both sides by the inverse of [3 0; -1 1]:
A × [3 0; -1 1] × [1/3 0; 1/3 1] = [-3 -1; 10 3] × [1/3 0; 1/3 1]
Simplifying the left-hand side using the associative and commutative properties of matrix multiplication, we get:
A × [1 1/3; 0 1] = [-2/3 -1/3; 10/3 3]
Multiplying both sides by the inverse of [1 1/3; 0 1]:
A = [-2/3 -1/3; 10/3 3] × [1 1/3; 0 1]⁻¹
We can easily find the inverse of [1 1/3; 0 1]:
[1 1/3; 0 1]⁻¹ = [1 -1/3; 0 1]
So, substituting this into the equation for A, we get:
A = [-2/3 -1/3; 10/3 3] × [1 -1/3; 0 1]
Multiplying the matrices on the right-hand side, we get:
A = [-2/3 -1/3; 10/3 3] × [1 -1/3; 0 1] = [-4/3 -1/3; 10 10/3]
Therefore, the matrix A that satisfies the equation A × [1 0; -1 3] = [-1 -3; 1 6] is:
A = [-4/3 -1/3; 10 10/3]
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video
Let the region R be the area enclosed by the function f(x) = ln (x) + 1 and
g(x)=x-1. If the region R is the base of a solid such that each cross section
perpendicular to the a-axis is a semi-circle with diameters extending through the
region R, find the volume of the solid. You may use a calculator and round to the
nearest thousandth.
The volume of the solid is approximately 0.558 cubic units.
To find the volume of the solid, we need to integrate the area of the semi-circles along the a-axis.
We know that the diameter of each semi-circle is the distance between the functions f(x) and g(x), which is:
d(a) = f(a) - g(a) = ln(a) + 1 - (a-1) = ln(a) - a + 2
The radius of each semi-circle is half of the diameter, which is:
r(a) = (ln(a) - a + 2) / 2
The area of each semi-circle is π times the square of its radius, which is:
[tex]A(a) = πr(a)^2 = π/4 (ln(a) - a + 2)^2[/tex]
To find the volume of the solid, we integrate the area of each semi-circle along the a-axis, from a = e to a = 2:
V = ∫[e,2] A(a) da
V = ∫[e,2] π/4 [tex](ln(a) - a + 2)^2 da[/tex]
V ≈ 0.558 (rounded to the nearest thousandth)
Therefore, the volume of the solid is approximately 0.558 cubic units.
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Based on historical data, an insurance company estimates that a particular customer has a 3.3% likelihood of having an accident in the next year, with the average insurance payout being $1500.
If the company charges this customer an annual premium of $120, what is the company's expected value of this insurance policy?
$
Based on this estimate, the insurance company's projected value of this probability insurance policy is negative, implying that the insurance company will lose money on this policy.
What is probability?Probabilistic theory is a branch of mathematics that calculates the chance of an event or a claim being true. A risk is a number between 0 and 1, where 1 represents certainty and a probability of about 0 shows how likely an event appears to be to occur. Probability is a mathematical term for the likelihood that a certain event will occur. Probabilities can also be expressed as numbers ranging from 0 to 1, or as percentages ranging from 0% to 100%. The proportion of occurrences among equally likely choices that result in a certain event in compared to all possible outcomes.
The total of the potential payouts multiplied by the odds of each payout occurring equals the anticipated value of the insurance policy. In this scenario, the possible compensation is the $1500 insurance payout, and the likelihood of the client being involved in an accident is 3.3%, or 0.033.
Expected value = (Payout if event happens) x (Probability of event happening) - (Annual premium)
($1500) x (0.033) - ($120) = expected value
Value expected = $49.50 - $120
-$70.50 is the expected value.
Based on this estimate, the insurance company's projected value of this insurance policy is negative, implying that the insurance company will lose money on this policy.
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What’s the answer to this problem for factoring basic trinomials?
40-22 x +x²
(x-2)(x-20) is the factored form of the trinomial equation
Factoring trinomialsGiven the quadratic equation below
x² - 22x + 40
To factorise this expression, we need to find two factors of 40 that add up to -22.
The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40.
To get a sum of -22, we can choose the factors -2 and -20.
Therefore, we can write:
x² - 22x + 40 = (x - 2)(x - 20)
Thus, the factored form of the expression 40-22x+x² is (x-2)(x-20).
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Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers
T.A. =
To clear all your answers and start over, click the trashcan icon. Remember to always be accurate, professional, and friendly in your responses.
To answer a student question on Brainly, first, carefully read the question and understand what is being asked. Then, click on an item from the list or group of pictures provided at the bottom of the problem. Hold down the mouse button and drag the item into the correct position in the answer box.
Release the mouse button when the item is placed. If you change your mind, drag the item to the trashcan. Simply click the garbage button to start anew after clearing all your answers. Always be sure to respond with accuracy, professionalism, and friendliness.
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solve using the standard algorithm. check your quotient and remainder and by using multiplication and addition 93÷7
In the standard algorithm
Reminder = 2
quotient = 13
What does quotient in mathematics mean?
The number being divided is known as the dividend, in this case, 15. The number being divided is known as the divisor (in this case, 3). The remainder following division is the quotient.
When we divide two integers, the result is a quantity known as the quotient. As an example, since the division resulted in the number 2, the quotient in the equation 8 4 = 2 is 2.
= 93÷7
Reminder = 2
quotient = 13
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What is the measure of ∠m
Answer:
26° 180 -81 - 73 = 26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
triangle= 180
81 + 73 = 154
180 - 154= 26
Multiply. (4x-3) (2x − 6)
8
8x²-30x+18
6x² +18x - 9
6x²-30x + 18
08x²-18x + 18
Answer:
8x²-30x+18
Step-by-step explanation:
8x²-24x-6x+18
8x²-30x+18
Answer:
[tex]8x^{2} -30x+18[/tex]
Step-by-step explanation:
[tex]8x^{2} -24x-6x+18[/tex]
[tex]8x^{2} -30x+18[/tex]
HELPPP ASAP IM AWARDING 80 POINTS!!!!
A cylindrical candle has a radius of 4 cm and a height of 10.4 cm.
What is the exact surface area of this candle?
32.0π cm²
83.2π cm²
91.2π cm²
115.2π cm²
Answer:
D) 115.2π cm².
Step-by-step explanation:
The surface area of a cylinder can be calculated using the formula:
Surface Area = 2πr² + 2πrh
where r is the radius and h is the height of the cylinder.
In this case, r = 4 cm and h = 10.4 cm. Substituting these values in the formula, we get:
Surface Area = 2π(4)² + 2π(4)(10.4)
Surface Area = 2π(16) + 2π(41.6)
Surface Area = 32π + 83.2π
Surface Area = 115.2π
Therefore, the exact surface area of the candle is 115.2π cm².
The answer is (D) 115.2π cm².
Answer: The answer is D, 115.2π cm²
Step-by-step explanation: When we use the formula of 2πrh+2πr2=2·π·4·10.4+2·π·42 to get the surface area, which equals 361.91
We can divide this by pi to get 115.2π cm²
Hope this helped!
Graph the function blue, green,red.
The graph of the functions are given as attached.
How do graphs help us to understand functions?Graphs are visual representations of functions that provide valuable insights into their behavior. They allow us to see the relationship between the input and output of a function, and how it changes over time or across different values.
The relationship between the two functions is that they are reciprocals of each other. Specifically, f(x) = 2sin(2x) + 1 is the reciprocal of f(x) = 2csc(2x) + 1, since csc(2x) is the reciprocal of sin(2x). Therefore, they have the same shape, but their values are inverted. See the attached graph.
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What is the likelihood
that all 21 students in a class share the same birthday? Explain.
Quick please!
Answer:
it is not likey bc inless the class have over 2 mil ppl in it itis doouptfull
Step-by-step explanation:
PLS HURRY I AM GIVING BRAINLIEST!!!
the question is in the photo!!
Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No
work out the product of 1 and 3/3 and 1 and 2/6 give your answer in its simplest form
Answer:
To multiply 1 3/3 by 1 2/6, we can first convert these mixed numbers to improper fractions, then multiply them together, and finally simplify the result to its simplest form.
1 3/3 can be written as 4/3 (since 1 whole and 3/3 is equivalent to 4/3)
1 2/6 can be written as 8/6 (since 1 whole and 2/6 is equivalent to 8/6)
Now, we can multiply these two fractions together:
4/3 x 8/6 = (4 x 8) / (3 x 6) = 32/18
To simplify this fraction, we can divide the numerator and denominator by their greatest common factor, which is 2:
32/18 = (2 x 16) / (2 x 9) = 16/9
Therefore, the product of 1 3/3 and 1 2/6 is 16/9, or 1 and 7/9 in mixed number form, in its simplest form.
A certain triathlon consists of a 2.6 mile swim, a 110 mile bicycle ride, and a 26.2mile run. At one point, a participant had completed as many miles as the number of miles left to complete. How many miles had he completed at that mark?
Answer:
Let x be the number of miles completed by the participant before the mark. Then, the total distance of the triathlon is:
2.6 + 110 + 26.2 = 138.8 miles
At the mark, the participant has completed x miles and has the remaining distance to complete, which is:
138.8 - x
According to the problem, x is equal to the remaining distance:
x = 138.8 - x
Solving for x, we get:
2x = 138.8
x = 69.4
Therefore, the participant had completed 69.4 miles at the mark.
i need help on part d.
Answer:
d. 6 seconds
e. 12 seconds
Step-by-step explanation:
Given that a projectile has an altitude of 320 feet at 2 seconds and 10 seconds after launch, you want to know the time to maximum height and the time the projectile lands on the ground.
d. SymmetryThe parabolic path is symmetrical about the vertical line through its vertex. So, the time at maximum height is the average of the two times at which the height is 320 ft:
(2 s + 10 s)/2 = (12/2) s = 6 s
The projectile is at maximum height 6 seconds after launch.
e. LandingThe projectile is launched from ground level at t=0, so will reach ground level again an equal time after reaching maximum height.
2 × (6 s) = 12 s
The projectile will land after 12 seconds.
Que volumen debería tener un recipiente para introducir en el 205 kg de mercurio
the container needs to have a volume of 0.01514 cubic meters to hold 205 kg of mercury.
Define volumeVolume is the measure of the amount of three-dimensional space enclosed by an object or space. It is typically expressed in cubic units, such as cubic meters (m³) or cubic centimeters (cm³).
The density of mercury is approximately 13,534 kg/m³.
We can use the formula:
Volume = mass/density
To find the volume of mercury that has a mass of 205 kg:
Volume = 205 kg / 13,534 kg/m³
Volume ≈ 0.01514 m³
Therefore, the container needs to have a volume of approximately 0.01514 cubic meters to hold 205 kg of mercury.
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The complete question is:
What volume should a container have to hold 205 kg of mercury?
If you place a 26-foot ladder against the top of a building and the bottom of the ladder is 20 feet from the bottom of the building, how tall is the building? Round to the nearest tenth of a foot. help please now.
Answer: The building is approximately 16.6 feet tall.
Step-by-step explanation:
Use Pythagorean theorem (a²+b²=c²) to solve this.
We know that the ladder is 26 feet long so that would be our hypotenuse (c²). and the distance between the ladder and the building is 20 feet. So, this is the base. The remaining side is x.
Your equation would be: 20²+x²=26²
subtract 20² from 26² --> 276=x²
then take the square root --> 16.6=x
100 POINTS + BRAINLIEST!!
Answer:
The figure has an area of 70 cm² and is a trapeziumStep-by-step explanation:
The figure is a rectangular trapezoid, and this answers one question, the second question is the area, which we find by making the major base plus the minor base multiplied by the height and we divide everything by two, the two bases are the parallel ones (12 and 8) and the height is 7.
Then it is resolved with this expression
Area = [(12 + 8) × 7] : 2
Area = (20 × 7) : 2
Area = 140 : 2
Area = 70 cm²
What is the function’s average rate of change from x=-1 to x=1
Answer:
The average rate of change of the function from x=-1 to x=1 is 6.
Step-by-step explanation:
The average rate of change of a function from x=-1 to x=1 is the change in the output of the function (y-value) divided by the change in the input of the function (x-value). In other words, it is the slope of the line connecting the two points (x=-1 and x=1).