please help me asap!!!!
Answer: POSSIBLY B
Step-by-step explanation:
an angle is 10 degrees more than 3 times the measure of its compliment. find the measure of both angles
Answer:
20° and 70°
Step-by-step explanation:
complimentary angle sum to 90°
let x be the compliment then the angle is 3x + 10 , so
x + 3x + 10 = 90 , that is
4x + 10 = 90 ( subtract 10 from both sides )
4x = 80 ( divide both sides by 4 )
x = 20
3x + 10 = 3(20) + 10 = 60 + 10 = 70
the 2 angle measures are 20° and 70°
9. The Super Vision cable TV/Internet/phone provider advertises a flat $100 monthly fee for all
three services for a new customer. The rate is guaranteed for 5 years. Cable Zone normally
charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for
monthly cable television.
a. How much could a customer save during the first year by switching from Cable Zone to
Super Vision?
b. Super Vision raises the rates 23% after a new customer's first year, how much will a customer
who switched from Super Vision save in the second year?
c. If Super Vision raises the rates 18% for the third year compared to the second year, which
company is cheaper for the third year?
a. $456 would be the amount a customer could save during the first year by switching from Cable Zone to Super Vision.
b. Super Vision raises the rates 23% after a new customer's first year, a customer who switched from Super Vision save $180 in the second year.
c. Super Vision raises the rates 18% for the third year compared to the second year, for the third year, Cable Zone would be cheaper.
a. To calculate how much a customer could save during the first year by switching from Cable Zone to Super Vision, we need to compare the costs of the two providers.
Cable Zone charges $46 for monthly home phone service, $36 for monthly Internet service, and $56 for monthly cable television. Therefore, the total cost per month with Cable Zone is:
$46 (home phone) + $36 (Internet) + $56 (cable television) = $138
Super Vision, on the other hand, offers all three services for a flat $100 monthly fee. So, the customer would save:
$138 (Cable Zone cost) - $100 (Super Vision cost) = $38 per month
Therefore, during the first year, the customer could save:
$38 (monthly savings) * 12 (number of months) = $456
b. After the first year, Super Vision raises the rates by 23%. The new monthly fee would be:
$100 (original fee) + 23% (rate increase) * $100 (original fee) = $123
To calculate the savings in the second year, we need to compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $123 (Super Vision cost) = $15 per month
Therefore, in the second year, the customer would save:
$15 (monthly savings) * 12 (number of months) = $180
c. If Super Vision raises the rates by 18% for the third year compared to the second year, we need to calculate the new monthly fee. The new Super Vision fee would be:
$123 (second-year fee) + 18% (rate increase) * $123 (second-year fee) = $145.14
To determine which company is cheaper for the third year, we compare the new Super Vision fee to the cost with Cable Zone:
$138 (Cable Zone cost) - $145.14 (Super Vision cost) = -$7.14
In this case, the Super Vision cost is higher than the Cable Zone cost by $7.14 per month. Therefore, for the third year, Cable Zone would be cheaper.
Overall, during the three-year period, the customer would save a total of $456 (first year) + $180 (second year) = $636 by switching to Super Vision.
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A flagpole casts a shadow that is 14 feet long. At the same time, a person standing nearby who is 5 feet 6 inches tall casts a shadow
that is 42 inches long. How tall is the flagpole?
Flagpole:
feet
Answer:
22 feet
Step-by-step explanation:
As the given measurements are not all in the same units, convert all measurements to inches using the conversion 1 ft = 12 inches:
14 ft = 14 × 12 = 168 inches5 ft 6 in = 5 × 12 + 6 = 66 inchesTherefore:
Flaghole height = h inFlagpole shadow = 168 inPerson height = 66 inPerson shadow = 42 inDraw a diagram using the given information (see attachment).
From the diagram, we can see that the flagpole and the person are parallel. Therefore, the two triangles are similar.
In similar triangles, corresponding sides are always in the same ratio.
Therefore, set up a ratio of height to shadow length and solve for h:
\(\implies \sf Flagpole\;height:Flagpole:shadow=Person\;height:Person\;shadow\)
\(\implies \sf h:168=66:42\)
\(\implies \sf \dfrac{h}{168}=\dfrac{66}{42}\)
\(\implies \sf h=\dfrac{66}{42} \cdot 168\)
\(\implies \sf h=\dfrac{11088}{42}\)
\(\implies \sf h=264\;inches\)
Convert the height into feet by dividing by 12:
\(\implies \sf h=\dfrac{264}{12}=22\;feet\)
Therefore, the height of the flagpole is 22 feet.
Determine the product of the binomial −2x−3 and the trinomial −4x2+3x+5. To earn full credit, show your work using a method explained in the Orientation.
Answer:
\(( - 2x - 3)( - 4 {x}^{2} + 3x + 5) \\ \\ = 8 {x}^{3} - 6 {x}^{2} - 10x + 12 {x}^{2} - 9x - 15 \\ = 8 {x}^{3} + 6 {x}^{2} - 19x - 15\)
I hope I helped you^_^
20. in this problem we assume that fish are caught at a constant rate h independent of the size of the fish population. then y satisfies dy dt
the solution of the given derivative will be y = k/2(1±√(1-4h/rk))
What is derivative?
A function's varied rate of change with respect to an independent variable is referred to as a derivative. When there is a variable quantity and the rate of change is irregular, the derivative is most frequently utilised. The derivative is used to assess how sensitive a dependent variable is to an independent variable (independent variable). In mathematics, a quantity's instantaneous rate of change with respect to another is referred to as its derivative. Investigating the fluctuating nature of an amount is beneficial.
dy/dt = 0
-r/k y²+ry-h=0
y = k/2(1±√(1-4h/rk))
Hence the solution of the given derivative will be y = k/2(1±√(1-4h/rk))
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Which of the following tables represents a linear function? x −4 −1 0 1 2 y −4 2 −4 0 2 x 1 1 1 1 1 y −3 −2 −1 0 1 x −6 −1 0 2 3 y −7 negative sixteen thirds −5 negative thirteen thirds −4 x −2 −1 0 2 4 y −4 negative two thirds −1 two thirds 1 Question 5(Multiple Choice Worth 5 points) (Experimental Probability MC) A bag is filled with an equal number of red, yellow, green, blue, and purple socks. The theoretical probability of a child drawing 2 yellow socks from the bag with replacement is one fifth. If the experiment is repeated 175 times, what is a reasonable prediction of the number of times he will select 2 yellow socks? one fifth 10 25 35 Question 6(Multiple Choice Worth 5 points) (Identifying Functions LC) The graph represents a relation where x represents the independent variable and y represents the dependent variable. a graph with points plotted at negative 5 comma 1, at negative 2 comma 0, at negative 1 comma negative 1, at 0 comma 2, at 1 comma 3, and at 5 comma 1 Is the relation a function? Explain. No, because for each input there is not exactly one output. No, because for each output there is not exactly one input. Yes, because for each input there is exactly one output. Yes, because for each output there is exactly one input. Question 7(Multiple Choice Worth 5 points) (Line of Fit MC) A movie theater wanted to determine the average rate that their diet soda is purchased. An employee gathered data on the amount of diet soda remaining in the machine, y, for several hours after the machine is filled, x. The following scatter plot and line of fit was created to display the data. scatter plot titled soda machine with the x axis labeled time in hours and the y axis labeled amount of diet soda in fluid ounces, with points at 1 comma 30, 1 comma 40, 2 comma 34, 3 comma 24, 3 comma 30, 4 comma 18, 5 comma 15, 5 comma 24, 6 comma 4, 6 comma 20, 7 comma 10, and 8 comma 0, with a line passing through the coordinates 3 comma 26.7 and 7 comma 7.66 Find the y-intercept of the line of fit an
The y-intercept of the line of fit is approximately 43.94 fluid ounces.
What is Probability ?
Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.
The answer is 35. If the theoretical probability of drawing two yellow socks is one fifth, then the experimental probability of drawing two yellow socks in one trial with replacement is also one fifth. Therefore, out of 175 trials, the number of times he will select two yellow socks can be predicted by multiplying the number of trials by the experimental probability: 175 * (1/5) = 35.
No, because for each input there is not exactly one output. The relation is not a function because for the input x = -5, there are two possible outputs: y = 1 and y = -1. Therefore, the relation violates the vertical line test, which requires that every vertical line intersects the graph at most once for the relation to be a function.
The y-intercept of the line of fit is approximately 43.94 fluid ounces. To find the y-intercept, we can look at the point where the line of fit intersects the y-axis (i.e., when x = 0). From the equation of the line of fit, we can see that the y-coordinate when x = 0 is approximately 43.94, which represents the initial amount of diet soda in the machine before it starts to be purchased.
Therefore, The y-intercept of the line of fit is approximately 43.94 fluid ounces.
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Can someone help me! it would mean the world! and tysm! <3
Step-by-step explanation:
Length = 19cm
Length is 5cm more than breadth i.e.
Breadth = 19 - 5 = 14cm
Area = Length x Breadth
= 19 x 14
= 266cm²
What are quadratic binomial
Answer:
A quadratic binomial is a second degree binomial, such as 3x2+2.
Determine the intercepts of the line. Do not round your answers. y-6=4(x+5)y−6=4(x+5)
4. Compute the unadjusted cost of goods sold for the year. Do not include any underapplied or overapplied overhead in your answer.
5. Assume that the $70,000 ending balance in Work in Process includes $24,000 of direct materials. Given this assumption, supply the information missing below:
The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:
Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory
Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.
5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:
Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead
Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:
Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor
Without knowing the value for direct labor, we cannot compute the overhead cost.
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Joseph places $5,500 in a savings
account for 30 months. He earns $893.75
in interest. What is the annual interest
rate?
Answer: About 6.2%
Step-by-step explanation:
He starts with 5500 and gains 893.75 in 2.5 years.
The equation is then 5500*(x)^2.5 = 5500+893.75, or
5500*x^2.5 = 6393.75.
x is about 1.0621, or about 6.2% because it's interest.
Hope that helped,
-sirswagger21
Answer: 137.5%
Step-by-step explanation
Would 2-3 have the same answer as 3-2? Why or why not?
Answer:
No
Step-by-step explanation:
2-3= -1
3-2 = 1
Economists predict that Americans will spend $1,180 on Summer Vacation in 2015, this is up 3.4% from 2014. What did Americans spend in 2014?
With the help of percentage increase information, we conclude that, Americans spent approximately $1,141.31 on summer vacation in 2014.
What is percenatge increase?
Percentage increase is a measure of how much a value has increased in comparison to the original value, expressed as a percentage.
To find what Americans spent in 2014, we need to use the percentage increase and the 2015 amount.
Let X be the amount spent in 2014.
We know that the increase from 2014 to 2015 is 3.4%, which can be expressed as:
3.4% = 0.034 (as a decimal)
We also know that the amount spent in 2015 is $1,180.
Using this information, we can set up an equation:
X + 0.034X = 1180
Simplifying the left side:
1.034X = 1180
Dividing both sides by 1.034:
X = 1141.31
So Americans spent approximately $1,141.31 on summer vacation in 2014.
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Samuel rides his bike 14 blocks from his house to get to the bus stop. Then he takes the bus another 34 blocks to get to work. At the end of the day, he travels back home the same way. How many blocks does he travel each day? *
Answer:
96?
Step-by-step explanation:
The total number of blocks the first time in the day:
14 +34 = 48
Mutiply that by 2 to see how many blocks he does twice a day
48(2)= 96
7/8-square root of 6
Answer:
\( \frac{7}{8} - \sqrt{6} \\ \\ \frac{7}{8} - \frac{8 \sqrt{6} }{8} = \frac{7 - 8 \sqrt{6} }{8} \\ \\ \frac{7 - 8(2.449)}{8} = \frac{7 - 19.592}{8} \\ \\ = \frac{ - 12.592}{8} = - 1.574\)
I hope I helped you^_^
Which of the following are disadvantages of the mode?
For many sets of data there are multiple modes.
The mode is affected by extremely large and small values.
For many sets of data there is no mode.
the mode can only be computed for interval-level data or higher
The disadvantages of the mode are: For many sets of data there is no mode.
The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.
However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.
The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.
The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.
The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.
The correct option is: For many sets of data there is no mode.
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What is a number that can be multiplied by 1/4 in result in a product greater than one
Answer:
8/4
Step-by-step explanation:
I'm not hundred percent sure
Question Progress
Homework Progress
28 / 44 Marks
A 100 g packet of coffee costs £8.10
A 25 g packet of the same coffee costs £2.05
Which packet is better value for money?
Show how you decide.
+
G
Answer: £2.05
10
11
12
The packet of 25 g of the same coffee costs 2.05 euros is the better value for money.
According to the question, the given homework progress marks is (28/44) in which 12 marks are less.
This problem can be simplified with the help of the simplification method.
As per question, the coffee cost for the 100 grams is written below:
100 g = 8.10 euros
Divide it by 4 to get 25 grams:
⇒ 25 g = 2.05 euros
Hence, the packet of 25 g of the same coffee costs 2.05 euros is the better value for money.
What is simplification?
The word simplification is the procedure in which complicated expression can be written in a simpler form to make the calculation easy. This method is used to calculated the answers for the unknown quantity.
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Which expression is equivalent to 3/2^3 HELP ASAP
Answer:
3rd option
Step-by-step explanation:
One of our exponent rules tells us that \((\frac{x}{y} )^{z}\) = \(\frac{x^{z} }{y^{z} }\). So, knowing that exponent rule, we know that it has to be the third option. But what if we didn't know that rule? Then how could we solve this?
We know that 3/2 = 1.5. Do some math and you can figure out that 1.5^3 is 3.375. If we were to evaluate expression number 3, we would get 27/8, which, if you were to further evaluate it, you would also get 3.375.
Let me know if you have any questions!
A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.
A circle labeled satellite 55 overlaps a circle labeled cable 75. Overlap is labeled 12. 4-column table with 3 rows. First column has no label with entries satellite, not satellite, total. Second column is cable with entries blank, 51%, blank. Third column is not cable with entries a, b, blank. Fourth column is labeled total with entries blank, blank, 100%.
What are the values of a and b in the relative frequency table for the survey results? Round answers to the nearest percent.
a = 82%, b = 3%
a = 38%, b = 50%
a = 38%, b = 3%
a = 93%, b = 19
The correct answer is:
a = 43%
b = 88%
To determine the values of a and b in the relative frequency table, we need to analyze the information provided in the Venn diagram and the given table.
From the Venn diagram, we can gather the following information:
The circle labeled "satellite" has a value of 55.
The circle labeled "cable" has a value of 75.
The overlap between the two circles is labeled as 12.
Using this information, we can complete the table:
First column - "Satellite":
Entries: Satellite, Not satellite, Total
Total: 55 (as given in the Venn diagram)
Second column - "Cable":
Entries: Blank, 51%, Blank
To find the value for the "Cable" entry, we need to subtract the overlap (12) from the total number of cable users (75).
Cable: 75 - 12 = 63
Therefore, the entry becomes: Blank, 51%, Blank
Third column - "Not Cable":
Entries: a, b, Blank
To find the value for "a," we subtract the overlap (12) from the total number of satellite users (55).
a: 55 - 12 = 43
To find the value for "b," we subtract the overlap (12) from the total number of households (100).
b: 100 - 12 = 88
Therefore, the entries become: 43, 88, Blank
Fourth column - "Total":
Entries: Blank, Blank, 100%
The total number of households is given as 100% (as stated in the question).
Therefore, the values of a and b in the relative frequency table are:
a = 43% (rounded to the nearest percent)
b = 88% (rounded to the nearest percent)
Hence, the correct answer is:
a = 43%
b = 88%
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Find the missing angle.
90 - 43
y = [???]
Step-by-step explanation:
Here. ...the sum of interior angle of triangle is 180° so...
90° + 43° + y = 180°.
133° + y = 180°
y = 180° - 133°
y = 47°
The daily water consumption for an Ohio community is normally distributed with a mean consumption of 751,163 gallons and a standard deviation of 84,224 gallons. The community water system will experience a noticeable drop in water pressure when the daily water consumption exceeds 984,355 gallons. What is the probability of experiencing such a drop in water pressure
Answer:
eeeeeeeeeeeeeeeeeeeeeee
Step-by-step explanation:
A nurse is to administer 2.5 milligrams of medication for each kilogram of body weight. How many decigrams of medication would a 88-kilogram person receive?
The decigrams of medication that a 88-kilogram person receives is 2.2 decigram.
How to calculate the decigram of medication?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations. As an illustration, the expression x + y has the terms x and y with an addition operator between them.
From the information illustrated, the nurse is to administer 2.5 milligrams of medication for each kilogram of body weight.
Therefore, for someone that weighs 88 kilograms,. the milligrams will be:
= 88 × 2.5
= 220 milligrams
1 decigram = 100 milligram
Therefore, 220 milligrams will be:
= 220/100
= 2.2 decigram.
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which is the correct word form of 8.16
a . eight and sixteen tenths
b. eight and sixteen hundredths
c. eight hundred sixteen hundredths
d. eight hundred sixteen thousandths
The correct word form of 8.16 is b. eight and sixteen hundredths
Since the number is 8.16, we have 8.16 = 8 + 0.16 = 8 + 16/100
Since we have 8 in the units place, it is pronounced eight.
Also, we have our decimal part 0.16 = 16/100 which is pronounced as sixteen hundredths.
So, combining both we have eight and sixteen hundredths.
So, the correct word form of 8.16 is b. eight and sixteen hundredths
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Help me !!!! Please I’m offering points
The statement that justifies that ΔBAE ≅ Δ DAE is Side-Side-Angle Postulate. The best option from the statements given is "Classify A triangle". That is definition of a triangle.
What is the Side-Side- Angle Postulate?The Side Side Angle Postulate states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Between both triangles, here are the congruent sides and angles:
AB ≅ AD - Given
AE = EA - Reflexive Property. Note that AE is shared by both triangles so we have Two congruent sides.
AC ⊥ BD - that means ∠AEB = ∠AED = ∠BEC = ∠CED = 90°
(perpendicular bisector theorem)
A perpendicular bisector is a line segment that cuts another line segment at 90 degrees. A perpendicular bisector, in other terms, meets another line segment at 90° and splits it into two equal halves.
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Kellie bought
8
8 towels and spent
$
39.60
$39.60. Each towel costs the same amount.
Answer:
39.6/8 = 4.95
Step-by-step explanation:
The discussion above offers a third tip for saving money on purchases. Write a short paragraph, consisting of 125 words or more, that applies these techniques to purchasing a television.
When we create a budget for television purchase as a technique, this can help you avoid overspending and ensure that you stay within your means.
How to save money when purchasing a Television?It is best to ensure we you are purchasing a television that meets your needs and is within your budget. We can look for reviews, compare prices and features of different models to make an informed decision.
One can also try to purchase during sales, holidays and special events which is when retailers offer discounts and promotions.
Finally, when we create a budget, this can help you avoid overspending and ensure that you stay within your means. By setting a limit on how much you're willing to spend, you can focus on finding the best deal within your budget.
Full question "The discussion above offers a third tip for saving money on purchases which is create a budget. Write a short paragraph, consisting of 125 words or more, that applies these techniques to purchasing a television".
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1. Maria worked 10 hours on Friday, 12 hours on
Saturday and 300 minutes on Sunday. What was the
average number of hours she worked on those 3 days?
Answer:
average=9 hours
Step-by-step explanation:
10hours on Friday
12 hours on Saturday
300 mins to hours= 300÷60=5
5 hours on Sunday
average=10+12+5
average=27
average=27÷3
average=9 hours
help me please please please
The angle measures for this problem are given as follows:
a = 62º.b = 118º.c = 62º.d = 62º.How to obtain the angle measures?The sum of the measures of the internal angles of a triangle is of 180º.
The triangle in this problem is ABC, hence the measure of a is obtained as follows:
a + 68 + 50 = 180
a = 180 - (68 + 50)
a = 62º.
c and d are corresponding angles to angle a, as they are on the same position relative to parallel lines, hence their measures are given as follows:
c = 62º.d = 62º.Angle b is a corresponding interior angle with angle a, hence they are supplementary and it's measure is given as follows:
a + b = 180
62 + b = 180
b = 118º.
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