Answer:
The last option/ 30 degrees
Step-by-step explanation:
we use the pythagorean theoeom to say that the triangle is a right triangle. We know which one the right angle is, so the remaining two angles add up to 90 degrees. we eliminate the third option and the first. Then, eliminate the fourth and the second. The answer is either 42 or 30. It cannot be 42 because 42+56+70=168, and 168 is not equal to 180. So, the answer is 30 degrees.
x=30 degrees
The amount of money that kailyn earns varies directly with the number of hours she works. if she works for 15 hours and makes 146.25, how much will she make in 40 hours.
Answer:
$390
Step-by-step explanation:
The wage rate for Kailyn is ($146.25/15 hours) = $9.75/hour
40 hours would result in:
(40 hours)*($9.75/hour) = $390
1. the top of the new rectangular big gig
thingamajig is 80 inches long and 62 inches
wide. what is the top's perimeter?
The top of the rectangular big gig thingamajig has a perimeter of 284 inches. The concept of perimeter is essential in geometry, and it refers to the total distance around the edge of a 2D shape. The perimeter of a rectangle is the sum of all its sides.
The top of the rectangular big gig thingamajig has a length of 80 inches and a width of 62 inches. To find the perimeter of the top, we need to add up the lengths of all four sides. The top has two pairs of parallel sides, so we can simply add up the lengths of each pair and then add those sums together.
The length of one pair of opposite sides is 80 inches, and the length of the other pair is 62 inches. To get the perimeter, we add these two sums together:
Perimeter = (80 + 80) + (62 + 62)
Perimeter = 160 + 124
Perimeter = 284 inches
Therefore, the top of the rectangular big gig thingamajig has a perimeter of 284 inches. The concept of perimeter is essential in geometry, and it refers to the total distance around the edge of a 2D shape. The perimeter of a rectangle is the sum of all its sides. In this case, we were given the dimensions of the rectangular top of the big gig thingamajig, which were 80 inches long and 62 inches wide. By adding the lengths of each pair of opposite sides, we were able to calculate the total distance around the edge of the top, which is known as the perimeter. Understanding the concept of perimeter is essential in many real-world scenarios, such as calculating the length of fence needed to enclose a rectangular garden or the distance around the edge of a soccer field.
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television viewers often express doubts about the validity of certain commercials. in an attempt to answer their critics, a large advertiser wants to estimate the true proportion of consumers who believe what is shown in commercials. preliminary studies indicate that about 40% of those surveyed believe what is shown in commercials. what is the minimum number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the true population proportion? a) 2305 b) 2327 c) 2285 d) 2317 e) 2292 f) none of the above
2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
Given that,
TV viewers frequently doubt the validity of particular advertising. In an attempt to counter their critics, a large advertiser wants to determine the true proportion of consumers who believe what is depicted in ads. About 40% of individuals examined, according to preliminary studies, seem to believe what is depicted in advertisements.
We have to find what is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
We know that,
Let
Population proportion (p)= 0.40
Margin of error = 2% = 0.02
Confidence level = 95% = 0.95
α = 1- 0.95 = 0.05
α/2 = 0.025
Let's find out the Z critical value using excel for the 95% confidence level,
Use the following excel command.
= ABS(NORMSINV(α/2))
= ABS(NORMSINV(0.025))
We will get, Z critical value = 2.17009
Sample size (n) = p(1-p)×(Zα/2)/E
n = 0.40(1-0.40)({2.17009}÷{0.05})²
Sample size (n) = 2327
Therefore, 2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
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A watch was brought
for a rs 4444. At what price
sold to gain
should it be
rs 444?
Answer:
Hence, the watcg must be bought at rupees 4888
Step-by-step explanation:
Let the desired selling price of the watch be x
Cost Price of the watch = 4444
We know that if Cost Price < Selling Price,
Selling Price - Cost Price = gain
When we substitute we get,
x-4444=444
x= 4888
A circle has a diameter of 30 centimeters. a sector has a central angle of 240 degrees. what is the area of the sector?
If a circle has a diameter of 30 centimeters and a sector has a central angle of 240 degrees, the area of the sector is approximately 471.24 square centimeters.
To find the area of a sector, we need to use the formula A = (θ/360)πr², where θ is the central angle, r is the radius, and π is a constant equal to 3.14. Since the diameter of the circle is 30 centimeters, the radius is half of that, or 15 centimeters. The central angle of the sector is 240 degrees, so we can plug in these values to get A = (240/360)π(15)². Simplifying, we get A = (2/3)π(225), which is approximately 471.24 square centimeters. Therefore, the area of the sector is approximately 471.24 square centimeters.
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describe the sample space in terms of the condition (functional or defective) of each nozzle after a year. let ""f"" denote a functional nozzle after a year and ""d"" denote a defective one.
The sample space, in terms of the condition (functional or defective) of each nozzle after a year, can be represented using the symbols "f" and "d" to denote a functional and defective nozzle, respectively.
The possible outcomes in the sample space can be described as a combination of these symbols. For example, if we have three nozzles, the sample space could include outcomes such as "fff" (all three nozzles are functional), "dfd" (the first and third nozzles are functional, while the second one is defective), "ffd" (the first two nozzles are functional, while the third one is defective), and so on.
Each outcome in the sample space corresponds to a particular arrangement or configuration of functional and defective nozzles after a year. The sample space encompasses all the possible combinations and provides a comprehensive representation of the different outcomes that can occur.
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A company purchased equipment for $150,000 by paying $50,000 and signing a $100,000 note payable. The entire $150,000 is reported as a cash outflow in the financing section of the statement of cash flows.
Answer: False
Step-by-step explanation:
The financing section deals with only the transactions that have to do with equity and debt. The Investing section deals with capital expenditure such as fixed assets and investments in other company securities.
The $50,000 should therefore be recorded in the Investing section as a Cash outflow.
The $100,000 is not a cash transaction but will be recorded in the Notes to the Statement of Cashflows as a Non-Cash transaction for disclosure purposes.
What are the mean and median next 12 months pe ratios of the group? enter your answer as the mean multiple followed by the median multiple, comma separated with no spaces. For example: 25. 5x,15. 8x
The mean and median next 12 months PE ratios of the group are the mean multiple followed by the median multiple, comma-separated with no spaces.
The mean and median next 12 months PE ratios of the group can be found by following these steps:
1. Gather next 12 months PE ratios for each company.
2. Calculate mean by summing the ratios and dividing by total number.
3. Arrange ratios in ascending order.
4. Find the middle value(s) to determine the median.
5. Write the mean multiple followed by the median multiple, comma-separated with no spaces.
Therefore, the mean and median next 12 months PE ratios of the group are the mean multiple followed by the median multiple, comma-separated with no spaces.
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Find the equation of the line pecified. The lope i 7, and it pae through ( 8, 6). A. Y = 7x - 50
b. Y = 14x - 50
c. Y= 7x 6
d. Y = 7x 62
That the equation of the line is y = 7x - 50.
The equation of a line with slope m passing through the point (x1, y1) is given by: y - y1 = m(x - x1).
In this case, the line has a slope of 7 and passes through (8, 6). Therefore, we can plug in the values for m, x1, and y1 into the equation above to find the desired equation.
Substituting in 7 for m, 8 for x1, and 6 for y1, we can rewrite the equation as: y - 6 = 7(x - 8).
Simplifying, we find that the equation of the line is y = 7x - 50.
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Consider this piecewise function.
f
(
x
)
=
{
3
,
x
≤
-
3
2
x
+
1
,
-
3
<
x
<
4
-
2
,
x
≥
4
Plot f(x) on the graph.
The graph of the piecewise function is given by the image presented at the end of the answer.
What is a piece-wise function?A piece-wise function is a function that has different definitions, depending on the input of the function.
The definitions in the context of this problem are given as follows:
Horizontal line at y = 3 to the left of x = -3, with a closed interval at x = -3.Increasing line y = 2x + 1 from x = -3 to x = 4, connecting the open points (-3, 5) and (4, 9).Decreasing line 4 - 2x for x to the right of x = 4, starting at the closed point (4, -4).Missing InformationThe problem asks for the graph of the following piecewise function:
y = 3, x ≤ -3.y = 2x + 1, -3 < x < 4.y = 4 - 2x, x ≥ 4.More can be learned about piece-wise functions at brainly.com/question/19358926
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The mathematical expression 2 ∈ V means:
It could be nonsense without any more context…
But more likely than not, V is understood to be some set of numbers, in which case the statement "2 ∈ V" means "2 belongs to the set V".
HELP me plsss i dont understand
Answer:
135
Step-by-step explanation:
brainliest if it is correct?
walter, agnes, and holly are making beaded lizards. walter has 476 green beads and 32 red beads. agnes has 104 green beads and 16 red beads. holly has 281 green beads and 80 red beads. they all share their beads so as to make the largest possible number of lizards. if a beaded lizard requires 94 green beads and 16 red beads, what is the number of green beads left over?
The number of green beads left over = 15
Walter:
Number of green beads = 476
Number of red beads = 32
Agnes:
Number of green beads = 104
Number of red beads = 16
Holly:
Number of green beads = 281
Number of red beads = 80
Total number of red beads = 32+16+80 = 128 beads
Number of red beads required for making one lizard = 16
Since 128/16 = 8 , there will be no red beads left after making 8 lizards.
Total number of green beads = 476+104+281 = 861 beads
Number of green beads required for making one lizard = 94
Now 861/94 = \(9\frac{15}{94}\)
That is , 15 is the remainder when 861 is divided by 94
So there will be 15 green beads left after making 9 lizards.
Therefore, the number of green beads left over = 15
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Jack has a part time job selling clothes at a clothing store. He earns
$50 per week plus 10% of the value of her weekly sales. This week Jack
earned $250. What is the total value of his sales this week? *
Answer:
$2,000
Step-by-step explanation:
$250-$50=$200
$200*10=$2,000
Please help me solve this
Answer: x = 1.186
Step-by-step explanation:
To solve, we need to isolate the x variable.
Given:
\(5^{2x-1}=2^{x+2}\)
Log both sides of the equation:
\(Log(5^{2x-1})=Log(2^{x+2})\)
Log power property:
\((2x-1)Log(5)=(x+2)Log(2)\)
Distribute:
* Think of the Log(5) and Log(2) as a "regular number" that you can divide with, distribute with, etc
\(2xLog(5)-Log(5)=xLog(2)+2Log(2)\)
Add Log(5) to both sides of the equation and subtract xLog(2) from both sides of the equation:
\(2xLog(5)-xLog(2)=2Log(2)+Log(5)\)
Factor x from the terms on the left side of the equation:
\(x(2Log(5)-Log(2))=2Log(2)+Log(5)\)
Divide both sides of the equation by (2Log(5)-Log(2)):
\(x= \frac{2Log(2)+Log(5) }{2Log(5)-Log(2)}\)
Compute:
x = 1.186
Is √ 3x² 5y is a polynomial?
Answer: yes
Step-by-step explanation:
Solve 2x-3=20 please
Answer:
x = 11.5
Step-by-step explanation:
Given
2x - 3 = 20 ( add 3 to both sides )
2x = 23 ( divide both sides by 2 )
x = \(\frac{23}{2}\) = 11.5
Question 3 Find whether the vectorrs are parallel. (-2,1,-1) and (0,3,1)
a. Parallel
b. Collinearly parallel
c. Not parallel
d. Data insufficient
To determine whether the vectors (-2,1,-1) and (0,3,1) are parallel, we need to compare their direction. If they have different directions, they are not parallel. the correct answer is option c) Not parallel.
To check if two vectors are parallel, we can compare their direction vectors. The direction vector of a vector can be obtained by dividing each component of the vector by its magnitude. In this case, let's calculate the direction vectors of the given vectors.
The direction vector of (-2,1,-1) is obtained by dividing each component by the magnitude:
Direction vector of (-2,1,-1) = (-2/√6, 1/√6, -1/√6)
The direction vector of (0,3,1) is obtained by dividing each component by the magnitude:
Direction vector of (0,3,1) = (0, 3/√10, 1/√10)
Comparing the direction vectors, we can see that they are not equal. Therefore, the vectors (-2,1,-1) and (0,3,1) are not parallel. Hence, the correct answer is option c) Not parallel.
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Similar to inference techniques used in earlier chapters regarding sample sizes, the conditions that allow us to use the Chi-square test protect us from having expected counts that are too __________
Similar to inference techniques used in earlier chapters regarding sample sizes, the conditions that allow us to use the Chi-square test protect us from having expected counts that are too small.
When conducting a Chi-square test, we are comparing observed counts to expected counts, and if the expected counts are too small, we may not have enough data to accurately determine if the observed counts are significantly different from what we would expect by chance alone. Therefore, one of the assumptions of the Chi-square test is that the expected counts in each cell of the contingency table should be at least 5, although some researchers suggest that expected counts should be at least 10 to increase the accuracy of the test.
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Determine which of the following statements is true concerning the values described in column #1 and column #2.
Column #1
Column #2
The x-coordinate of the vertex of the equation The x-coordinate of the vertex of the equation y=2x²-4x+12
y=4x²+8x+3
The value found in column #1 is greater than the value found in column #2
The value found in column #1 is less than the value found in column #2.
The value found in column #1 is equivalent to the value found in column #2.
The relationship between column #1 and column #2 cannot be determined by the information given.
The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -the coordinate for column 2.
What are the coordinates and vertex of an equation?
When a graph crosses its symmetry axes, the vertex formula in mathematics may be used to get the vertex coordinate of a parabola. The vertex point is often represented by (h, k). We are aware that a parabola's conventional equation is y=a\(x^{2}\)+bx+c. The vertex in this case should be near the base of the U-shaped curve if the coefficient \(x^{2}\) is positive. The apex of the U-shaped curve should be at the top of the coefficient \(x^{2}\) is negative.
In the given question, It is given:
The two equations are:
\(y=2x^{2}-4x+12\)
and,
\(y=4x^{2}+8x+3\)
We have to find the vertex of the x-coordinate.
So, for the equation: \(y=2x^{2}-4x+12\)
In Column 1:
\(\begin{aligned}y &=-2 x^2-4 x+12 \\&=-2\left(x^2+2 x-6\right) \\&=-2\left((x+1)^2-7\right)\end{aligned}\)
So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is -1.
So, for the equation:\(y=4x^{2}+8x+3\)
In Column 2:
\(\begin{aligned}y &=x^2-4 x+3 \\&=(x-2)^2+(-1)\end{aligned}\)
So, By comparing the equation, we can say that the x-coordinate of the vertex in the column is 2.
So, Option b is correct.
Hence, The value of the vertex for the x-coordinate is less in column 1 as compared to the value of the vertex of x -coordinate for column 2.
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An animal shelter conducts an annual fundraising drive. The animal shelter must raise at least enough money to cover their annual rental of $2,500 and weekly expenses of $450. So far, the shelter has received a one-time donation of $125 and pledged donations of $680 per week. Which inequality can be used to find w, the number of weeks it can take for the shelter to meet the goal?
The inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is: w ≥ 10
To find the inequality that can be used to determine the number of weeks it can take for the animal shelter to meet its fundraising goal, we need to consider the total expenses and donations.
Let's break down the expenses and donations:
Expenses:
Annual rental = $2,500
Weekly expenses = $450
Donations:
One-time donation = $125
Pledged donations per week = $680
Let w represent the number of weeks it takes for the shelter to meet its goal.
Total expenses for w weeks = Annual rental + Weekly expenses * w
Total expenses = $2,500 + $450w
Total donations for w weeks = One-time donation + Pledged donations per week * w
Total donations = $125 + $680w
To meet the goal, the total donations must be greater than or equal to the total expenses. Therefore, the inequality is:
Total donations ≥ Total expenses
$125 + $680w ≥ $2,500 + $450w
Simplifying the inequality, we have:
$230w ≥ $2,375
Dividing both sides of the inequality by 230, we get:
w ≥ $2,375 / $230
Rounding the result to the nearest whole number, we have:
w ≥ 10
Therefore, the inequality that can be used to find w, the number of weeks it can take for the shelter to meet its goal, is:
w ≥ 10
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the statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called _____.
trend analysis
The statistical technique used to estimate future values by successive observations of a variable at regular intervals of time that suggest patterns is called trend analysis.
Trend analysis is a statistical technique that helps identify patterns and tendencies in a variable over time. It involves analyzing historical data collected at regular intervals to identify a consistent upward or downward movement in the variable.
By examining the sequential observations of the variable, trend analysis aims to identify the underlying trend or direction in which the variable is moving. This technique is particularly useful when there is a time-dependent relationship in the data, and past observations can provide insights into future values.
Trend analysis typically involves plotting the data points on a time series chart and visually inspecting the pattern. It helps in identifying trends such as upward or downward trends, seasonality, or cyclic patterns. Additionally, mathematical models and statistical methods can be applied to quantify and forecast the future values based on the observed trend.
This statistical technique is widely used in various fields, including finance, economics, marketing, and environmental sciences. It assists in making informed decisions and predictions by understanding the historical behavior of a variable and extrapolating it into the future.
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Does the equation y=4x+2 show a proportional relationship between x and y
Answer:
I'm slow. I think so because remember y=mx+b
b is the y intercept and the mx is the slope which is x.
So 4x is the slope which is the x, and 2 is the y intercept.
Step-by-step explanation:
correct me anyone if im wrong
Can you Simplify 6^3
Solve for [x]. The pair of polygons are similar.
5x+2
B
16
The scale factor from A to B is 2:9
CAN SOMEONE PLZ HELP ME!!!
Answer:
hope this helps
Step-by-step explanation:
Strawberry = 14
blueberry = 14
cherry = 7
chocolate = 7
apple = 14
ANYONE A ACE OR EXPERT? PLEASE ANSWER THIS I NEED HELP
Answer:
Ace here. What do you need help with?
Each year you sell 3,000 units of a product at a price of $29.99 each. The variable cost per unit is $18.72 and the carrying cost per unit is $1.43. You have been buying 250 units at a time. Your fixed cost of ordering is $30. What is the economic order quantity? A) 342 units B) 329 units OC) 367 units D) 355 units E) 338 units
The economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
To find the economic order quantity (EOQ), we can use the following formula:
EOQ = sqrt((2 * Annual Demand * Fixed Ordering Cost) / Carrying Cost per Unit)
Given information:
Annual Demand = 3,000 units
Fixed Ordering Cost = $30
Carrying Cost per Unit = $1.43
Substituting the values into the formula:
EOQ = sqrt((2 * 3,000 * 30) / 1.43)
EOQ = sqrt(180,000 / 1.43)
EOQ = sqrt(125,874.125)
EOQ ≈ 354.91
Rounding the EOQ to the nearest whole number, we get:
EOQ ≈ 355 units
Therefore, the economic order quantity is approximately 355 units, which corresponds to option D) 355 units.
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Pam has 228 ounces of lemonade. she pours the lemonade into
8-ounce cups, filling as many as she can until all the lemonade is
gone. the last cup is not completely full. how much lemonade is
in the last cup?
a: 4ounces
b: 8 ounces
c: 12 ounces
d: 3 ounces
The last cup contains 4 ounces of lemonade. Option (a) is correct.
Pam has 228 ounces of lemonade and she pours it into 8-ounce cups. To determine the amount of lemonade in the last cup, we divide the total amount of lemonade by the size of each cup.
228 ounces ÷ 8 ounces = 28 cups with a remainder of 4 ounces.
Since the last cup is not completely full, the remaining 4 ounces of lemonade are in the last cup. This means option (a), which states that there are 4 ounces in the last cup, is the correct answer.
By dividing the total amount of lemonade by the cup size and considering the remainder, we can determine the quantity of lemonade in the last cup, which in this case is 4 ounces.
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A bakery delivers a total of 2176 cookies equally to 8 coffee shops daily. How many cookies does the bakery deliver to each coffee shop in one week
Answer:
1904 cookies
Step-by-step explanation:
2176/8=272
272 is how many cookies a shop gets a day
272x7=1904
Hope this helps