The formula for the n-th term of the sequence is:
sₙ = 4*(-1)ⁿ + (n - 1)*2*(-1)ⁿ
How to find the formula for the sequence?Here sₙ represents the n-th term of the sequence, we can see that:
s₁ = -4
s₂ = 6
s₃ = -8
...
What we can see is that in each consecutive term, the sign changes and we add or subtract 2, depending on the new sign.
Then the recursive formula for the n-th term can be written as:
sₙ = sₙ₋₁*(-1)ⁿ + 2*(-1)ⁿ
Where the (-1)ⁿ are things that change the sign depending if n is even or odd.
We can expand the formula to be a more general one by writting:
sₙ = 4*(-1)ⁿ + (n - 1)*2*(-1)ⁿ
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Which of the binomials below is a factor of this trinomial?
3y2 + 18x+ 24
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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The y-Int and the slope of C=7n+20
If you can show the formula
The volume of the triangular pyramid below is 240 units. Find the value of a.
Answer: =
12
Submit Answer
15
مومی مرده
The value of x in the triangular pyramid is 8 units.
How to find the height of a pyramid?The volume of the pyramid is given as 240 units cube. Therefore, let's find the value of x in the pyramid.
volume of the pyramid = 1 / 3 ×base area × height
Therefore,
base area = 1 / 2 bh
base area = 1 / 2 × 12 × x
base area = 6x
Therefore,
volume of the pyramid = 1 / 3 × 6x × 15
240 = 30x
divide both sides by 30
x = 240 / 30
x = 8 units
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When Tyee runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 1.5 seconds. If Tyee were to run 39 practice trials of the 400 meter dash, how many of those trials would be faster than 62 seconds, to the nearest whole number?
To find out how many of the 39 practice trials would be faster than 62 seconds, we need to calculate the proportion of trials that fall within the range of more than 62 seconds.
We can use the z-score formula to standardize the values and then use the standard normal distribution table (also known as the z-table) to find the proportion.
The z-score formula is:
z = (x - μ) / σ
Where:
x = value (62 seconds)
μ = mean (61 seconds)
σ = standard deviation (1.5 seconds)
Calculating the z-score:
z = (62 - 61) / 1.5
z ≈ 0.6667
Now, we need to find the proportion of values greater than 0.6667 in the standard normal distribution table.
Looking up the z-score of 0.6667 in the table, we find the corresponding proportion is approximately 0.7461.
To find the number of trials faster than 62 seconds, we multiply the proportion by the total number of trials:
Number of trials = Proportion * Total number of trials
Number of trials = 0.7461 * 39
Number of trials ≈ 29.08
Rounding to the nearest whole number, approximately 29 of the 39 practice trials would be faster than 62 seconds.
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They found the graph to the right, which shows the miles per gallon (MPG) and the annual tons of GHG produced by 8 different types of cars. If each gallon of gasoline burned created 20 pounds of GHG, and the price of gasoline was $2.454 per gallon, how much money was saved annually on gas by the car that got 40 miles per gallon when compared to the car that got 20 miles per gallon? Provide your answer to the hundredths place. Note: 1 ton = 2,000 pounds.
The possible graph of the question is a histogram with a vertical axis of Annual Tons of GHG, and MPG on the horizontal axis.
The amount saved annually on gas by the car that gets 40 miles per gallon is $1,079.76Reasons:
The given information are;
Green House Gases, GHG, produced per gallon of gasoline = 20 poundsPrice of gasoline per gallon = $2.454
GHG produced by the car that gets 20 miles per gallon = 8.8 tons
8.8 tons = 8.8 × 2,000 pounds = 17,600 pounds
GHG produced by the car that gets 20 miles per gallon = 17,600 pounds
Number of gallons of gasoline = \(\displaystyle \frac{17,600 \ pounds}{20 \ pounds/gallon} = 880 \, gallons\)
Cost of gasoline for car A = $2.454 × 880 = $2,159.52
GHG produced by the car that gets 40 miles per gallon = 4.4 tons
8.8 tons = 4.4 × 2,000 pounds = 8,800 pounds
GHG produced by the car that gets 20 miles per gallon = 8,800 pounds
Number of gallons of gasoline = \(\displaystyle \frac{8,800\ pounds}{20 \ pounds/gallon} = 440 \, gallons\)
Cost of gasoline for car B = $2.454 × 440 = $1,079.76
The amount saved annually on gas by the car that got 40 miles per gallon is therefore; $2,159.52 - $1,079.76 = $1,079.76Learn more here:
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A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
Answer:
A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
Step-by-step explanation:
A bus traveled south for 520 kilometers. The entire trip took 3 hours. Calculate the velocity.
The electrical resistance varies directly as the square of the voltage (V
) and inversely as the electric power (P
). If the voltage is 20
volts and the electric power is 5
watts, then the electrical resistance is 80
ohms.
The electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
The electrical resistance is the measure of the difficulty in passing electric current through a wire or an electrical component. It depends on various factors, such as the material, dimensions, and temperature of the wire.The given statement says that the electrical resistance varies directly as the square of the voltage and inversely as the electric power.
In mathematical terms, this relationship can be expressed as R ∝ V²/PR = kV²/P where R is the electrical resistance, V is the voltage, P is the electric power, and k is the constant of proportionality. The constant k depends on the material, dimensions, and temperature of the wire or component.
The given statement implies that the constant k is the same for the given wire or component, and it is not affected by the voltage or the power.To find the value of k, we can use the given values of V, P, and R.
According to the statement, if the voltage is 20 volts and the electric power is 5 watts, then the electrical resistance is 80 ohms. Therefore,R = kV²/PR = k(20²)/5R = 400k/5R = 80 ohms
Substituting the value of R in the equation, we get80 = 400k/5k = (80 x 5)/400k = 1. Therefore, the equation that relates the electrical resistance, voltage, and power isR = V²/PThe constant of proportionality k is 1 for the given wire or component.
Therefore, the electrical resistance varies directly as the square of the voltage and inversely as the electric power, and the equation that relates them isR ∝ V²/PR = kV²/PR = V²/P. This relationship can be used to calculate the electrical resistance of the wire or component for any given voltage and power.
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To form the image, the pre-image moved
O five units right and three units up.
Otwo units right and three units up.
Ofive units left and three units down.
O two units left and three units down.
Correct option is A. To form the image, the pre-image moved, five units right and three units up.
What is an image?Its image refers to a point's, a line's, a line segment's, or a figure's new location following a transformation.
How to Find a Point in a Plane Image in Steps?The image of Q's coordinates are (x1+ ar, y1+ br, z1+ cr). The midpoint R of PQ's coordinates are discovered. By changing the coordinates of R in the planar equation, the value of r is determined. The r-value is then entered into the Q coordinates.
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Complete Question -
To form the image, the pre-image moved
O five units right and three units up.
O two units right and three units up.
O five units left and three units down.
O two units left and three units down.
The image is attached below -
Answer:
a
Step-by-step explanation:
i rjrjejjejejejebruex so yeah thats it
(question in picture) please help me!!
Answer:
B is the correct answer hope this helps!
How to multiply 10x 3 1/2
Answer:
35
Step-by-step explanation:
put 3 1/2 as a decimal = 3.5, now move the dot one place to the right to times by ten = 35.
Line k is represented by the equation y = 2x + 2. Write
an equation of a line that is perpendicular to line k that also passes through the point (-2, 9)?
Step-by-step explanation:
so, we calculate the perpendicular slope, and then we start with the point-slope form (since we were given a specific point of the line), and transform into the regular slope-intercept form.
the slope in
y = 2x + 2
is the factor of x : 2 or 2/1
the perpendicular slope is turning this upside down and flips the sign : -1/2
the point- slope form is
y - y1 = a(x - x1)
"a" being the slope, (x1, y1) being the point.
y - 9 = -1/2(x - -2)
y - 9 = (-1/2)x - 1
y = (-1/2)x + 8
HELP PLSSSSSSSSSSSSSSSSSSSSSSSSSS
Answer:
Can't see answer it's blank
Step-by-step explanation:
can you explan transformation
Transformation is the process of changing one form or structure into another. Here are some key points about transformation:
• Physical transformations involve changing the physical properties of an object, like shape, size, state of matter, etc. Some examples are cutting, bending, melting, freezing, dissolving, combining substances, etc.
• Chemical transformations involve changing the chemical composition of a substance, forming new substances with different properties. Some examples are chemical reactions that produce new compounds, oxidation reactions, decomposition, synthesis reactions, etc.
• Biological transformations occur within living organisms through processes like development, growth, metabolism, adaptation, and evolution. These changes occur over time and at the cellular or molecular level.
• Mathematical transformations involve applying operations or functions to mathematical objects like numbers, vectors, matrices, etc. to produce new outputs. Common transformations include translation, rotation, reflection, scaling, and projection.
• Information transformations occur when data is manipulated, organized, or changed. Examples are data compression, encryption, encoding, classification, and filtering of information.
• Conceptual transformations refer to changes in a person's knowledge, understanding, perspectives, beliefs, attitudes, or behavior. Things like experiences, education, and realizations can cause conceptual transformations.
The key aspects of any transformation are that there is an initial state or form that undergoes some change process resulting in an altered final state or form. There are often changes to properties, composition, structure, or relationships involved.
Hope this explanation of transformation helps! Let me know if you have any other questions.
Transformation can refer to a marked change in form, nature, or appearance. It can also refer to a process by which one figure, expression, or function is converted into another one of similar value.
0 is an angle in a right-angled triangle. tan 0 = 23/52 What is the value of 0? Give your answer in degrees to 1 d.p.
The value of the angle θ is approximately 24.2 degrees to 1 decimal place.
In a right-angled triangle, the tangent of an angle is defined as the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle. Given that tan θ = 23/52, we can find the value of the angle θ.
To find the value of θ, we can use the inverse tangent or arctan function. Taking the inverse tangent of both sides of the equation, we have:
θ = arctan(23/52)
Using a calculator or trigonometric tables, we can evaluate the inverse tangent of 23/52. The result is approximately 24.2 degrees.
Note that in the context of a right-angled triangle, the tangent function is defined for acute angles (less than 90 degrees). Since 0 degrees is the smallest possible angle, it is considered an acute angle in this case.
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the level of temperature of liquid in a thermometer is 26.52'c lower than the boiling poin. of water. what is the thermometer reading
The thermometer reading would be 73.48°C.
The boiling point of water is generally considered to be 100°C. According to the given information, the temperature of the liquid in the thermometer is 26.52°C lower than the boiling point of water. Therefore, to find the thermometer reading, we subtract 26.52 from 100.
100 - 26.52 = 73.48
Hence, the thermometer reading would be 73.48°C.
In this scenario, we are assuming that the thermometer is calibrated to measure temperature in Celsius. The boiling point of water at standard atmospheric pressure is 100°C, and the given information states that the liquid in the thermometer is 26.52°C lower than the boiling point.
By subtracting 26.52 from 100, we obtain a reading of 73.48°C.
Thermometers work by utilizing the principle that certain substances, such as mercury or alcohol, expand or contract with changes in temperature. The expansion or contraction is measured using a scale, which is marked with various temperature values.
In this case, the thermometer is calibrated in Celsius, so we refer to the Celsius scale. By subtracting 26.52 from 100, we find the temperature at which the liquid in the thermometer is settled, which is 73.48°C.
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FOR 100 POINTS!!!!!!!!!!!
A food truck did a daily survey of customers to find their food preferences. The data is partially entered in the frequency table. Complete the table to analyze the data and answer the questions:
Likes hamburgers Does not like hamburgers Total
Likes burritos 29 41
Does not like burritos 54 135
Total 110 205
Part A: What percentage of the survey respondents liked neither hamburgers nor burritos? Show all work. (3 points)
Part B: What is the marginal relative frequency of all customers who like hamburgers? Show all work. (3 points)
Part C: Is there an association between liking burritos and liking hamburgers? Use ratios of joint and marginal frequencies to support your answer. (4 points)
Answer:
Part A:
To find the percentage of survey respondents who liked neither hamburgers nor burritos, we need to calculate the frequency in the "Does not like hamburgers" and "Does not like burritos" categories.
Frequency of "Does not like hamburgers" = Total in "Does not like hamburgers" category = 135
Frequency of "Does not like burritos" = Total in "Does not like burritos" category = 54
Total respondents who liked neither hamburgers nor burritos = Frequency of "Does not like hamburgers" + Frequency of "Does not like burritos" = 135 + 54 = 189
Percentage of survey respondents who liked neither hamburgers nor burritos = (Total respondents who liked neither hamburgers nor burritos / Total respondents) x 100
Percentage = (189 / 205) x 100 = 92.2%
Therefore, 92.2% of the survey respondents liked neither hamburgers nor burritos.
Part B:
To find the marginal relative frequency of all customers who like hamburgers, we need to divide the frequency of "Likes hamburgers" by the total number of respondents.
Frequency of "Likes hamburgers" = 110 (given)
Total respondents = 205 (given)
Marginal relative frequency = Frequency of "Likes hamburgers" / Total respondents
Marginal relative frequency = 110 / 205 ≈ 0.5366 or 53.66%
Therefore, the marginal relative frequency of all customers who like hamburgers is approximately 53.66%.
Part C:
To determine if there is an association between liking burritos and liking hamburgers, we can compare the joint and marginal frequencies.
Joint frequency of "Likes hamburgers" and "Likes burritos" = 29 (given)
Marginal frequency of "Likes hamburgers" = 110 (given)
Marginal frequency of "Likes burritos" = 70 (calculated by adding the frequency of "Likes burritos" in the table)
To assess the association, we compare the ratio of the joint frequency to the product of the marginal frequencies:
Ratio = Joint frequency / (Marginal frequency of "Likes hamburgers" x Marginal frequency of "Likes burritos")
Ratio = 29 / (110 x 70)
Ratio ≈ 0.037 (rounded to three decimal places)
Divide 2 over 3 ÷ 1 over 6
Answer:
1.5
Step-by-step explanation:
Answer:
2/3 = 2 thirds or 0.66666667 1/6 = .166666667
Step-by-step explanation:
Determine the total surface area and volume of each figure.
The total surface area of solid is,
S = 220 m²
And, The volume of the prism is, 200 m³
We have to given that;
A solid prism is shown in figure.
Since, The surface area of a prism is,
S = (2 × Base Area) + (Base perimeter × height)
Where, "S" is the surface area of the prism.
Hence, We get;
base area = 5 x 10 = 50 m²
height = 4 m
Base Perimeter = 2 (5 + 10) = 30
Hence, We get;
S = (2 x 50) + (30 x 4)
S = 100 + 120
S = 220 m²
Since, A prism is a solid shape that is bound on all its sides by plane faces. The volume of a prism is expressed as;
V = base area × height.
Now, For given figure,
Volume of the prism = base area × height
base area = 5 x 10 = 50 m²
height = 4 m
Hence, Volume = 50 × 4 m³
= 200 m³
Thus, The volume of the prism is, 200 m³
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what is a regression through the origin
A regression through the origin is a linear regression model where the intercept time period is assumed to be 0, meaning the regression line passes through the starting place.
This version is also referred to as zero-intercept regression or homogeneous regression.
It's far frequently used whilst there's a theoretical foundation to agree with that the relationship among the dependent and unbiased variable passes via the foundation or whilst the information propose that the intercept ought to be 0.
The slope coefficient represents the change within the structured variable for a one-unit increase inside the unbiased variable.
However, this kind of regression may not be appropriate in all cases, and a general linear regression version with an intercept term can be greater suitable.
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PLEASE HELP WILL MARK BRAINLIEST
Here s a patter made from sticks
Answer:
Recursive formula of an arithmetic sequence is given by the expression,
Tn=a+(n−1)d
Where, Tn= nth term
a= First term of the sequence
n= Number of term
d= Common difference
Therefore, number of sticks in the 6th pattern are 32.
And number of sticks in the nth pattern are Tn=5n+2
From the picture attached,
Number of sticks in 1st pattern = 7
Number of sticks in 2nd pattern = 12
Number of sticks in 3rd pattern = 17
Sequence formed is 7, 12, 17..... nth term
This sequence has a common difference of 5 in each successive term so it will be an arithmetic sequence.
Therefore, nth term of the sequence will be,
Tn=a+(n−1)d
Tn=7+(n−1)5
Tn=5n+2
If n=6,
Tn=7+(6−1)5
Tn=7+25
Tn=32
Hope it helps !
Have a great day!
HELP I DONT UNDERSTAND OR MAYBE I DO BUT IM YK I JUST NEED HELP PLEASE
Answer:
9/16
Step-by-step explanation:
;)
Answer:
-0.5625
Step-by-step explanation:
-0.75 x 0.75 = -0.5625
0645 + 0745 answer in military time
Answer:
1390
Step-by-step explanation:
Answer:
the answer is 1430 in military time
Step-by-step explanation:
Explain how adding and subtracting decimals is similar to adding and subtracting whole
numbers. Explain how they are different.
Subtracting decimals, just like adding decimals, is similar to subtracting whole numbers. Just like adding decimals, the only difference is that we line up according to the decimal point instead of the last digit
How to illustrate tye decimal?One type of number that has a whole number and a fractional component separated by a decimal point is a decimal. The decimal point is the dot that appears between the parts of a whole number and a fraction. An example of a decimal number is 34.5.
Comparable to subtracting whole numbers is the operation of adding and subtracting decimals. The only difference between adding decimals and doing so is that we line up according to the decimal point rather than the last digit.
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Can someone help me plz
Answer:
1. Vertex-M sides- LM MN
2. Vertex-D sides- ED CD
3. Vertex-R sides- SR RQ
4. Vertex-T sides- ST TU
5. angle 3 angle D angle CDE
6. angle 4 angle F angle GFE
7. angle 1 angle F angle GFE
8. angle 3 angle I angle HIJ
Question According to a recent ratings report,
20%
of households watch a certain television series on a regular basis. Estimate the probability that fewer than 70 in a random sample of 400 households are watching the series on a regular basis. Use Excel to find the probability, rounding your answer to four decimal places. Provide your answer belowr
Probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.
What is probability?
Probability is a branch of mathematics in which the chances of experiments occurring are calculated. It is by means of a probability, for example, that we can know from the chance of getting heads or tails in the launch of a coin to the chance of error in research.
To find the probability that fewer than 70 in a random sample of 400 households are watching the series on a regular basis, we can use the binomial distribution.
The probability of observing x successes in a sample of size n with probability p of success is given by the following formula:
\(P(x) = (n choose x) * p^x * (1 - p)^(n-x) \\\)
In this case, we can set n = 400, p = 0.2, and x = 70. Plugging these values into the
gives us:
P(x < 70) = P(x = 0) + P(x = 1) + ... + P(x = 69)
To calculate P(x = 0), P(x = 1), etc., we can use a loop in Excel to calculate the probability for each value of x from 0 to 69.
The probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is then given by the sum of these probabilities.
Rounding to four decimal places, the probability that fewer than 70 households in a sample of 400 are watching the series on a regular basis is approximately 0.9991.
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For which set of data is the mode the BEST measure of central tendency?
A) 3, 11, 20, 14, 20
B) 10, 13, 10, 25, 16
C) 12, 10, 13, 25, 12
D) 14, 10, 12, 14, 3
Answer: C
Step-by-step explanation:
i took the quiz
What is the radius of a circle that has a circumference of 3.14 meters?
Answer:
0.5
Step-by-step explanation:
Circumference of a circle = 2πr.
Given, circumference = 3.14 meters.
Therefore,
2πr = Circumference of a circle
or, 2πr = 3.14.
or, 2 × 3.14r = 3.14,[Putting the value of pi (π) = 3.14].
or, 6.28r = 3.14.
or, r = 3.14/6.28.
or, r = 0.5.
A triangular field has sides of lengths 29, 35, 51 mi.
Enter your answer as a number; answer should be accurate to 2 decimal places.
Find the largest angle in degrees:
This triangle is not possible.
A triangular field has sides of lengths 29, 35, and 51 miles. The largest angle of the triangle can be calculated using the Law of Cosines, which is a generalization of the Pythagorean Theorem.
Law of Cosines:The Law of Cosines is a mathematical tool used to calculate the length of a side or the size of an angle of a non-right triangle. It states that the square of any side of a triangle is equal to the sum of the squares of the other two sides,
minus twice the product of these two sides and the cosine of the angle between them.Mathematically, the law of cosines is expressed as: `a^2 = b^2 + c^2 - 2bc cos A`,
where `a` is the unknown side, and `b` and `c` are the known sides of the triangle, and `A` is the angle between sides `b` and `c`.We can use the Law of Cosines to find the largest angle in the triangle as follows:Let `A` be the largest angle,
which is opposite the longest side `51 mi`.Using the Law of Cosines, we have:`
a^2 = b^2 + c^2 - 2bc cos A``51^2 = 29^2 + 35^2 - 2(29)(35) cos A``2601 = 1681 + 1225 - 2030 cos A``2030 cos A = 1225 + 920``cos A = (1225 + 920)/2030``cos A = 2145/2030``cos A ≈ 1.057139``A = cos^-1 (1.057139)`
Since the cosine function is only defined for values between -1 and 1, `1.057139` is not a valid value for `cos A`.
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