Answer:
2145 ft^3
Step-by-step explanation:
Need help, what the solution for the line?
Answer:
What your name
and where are you from
Is this a function .?
Answer: This is a function.
Step-by-step explanation:
Function: is an expression that illustrates the relationship between the independent variable (x) and the dependent variable (y)
a key characteristic of a function is that for every input value (x) there will only be one corresponding output value (y)In this case you can look at multiple points on thus graph at at no point does this graph have an x-value correspond with more than 1 y-value
Solve the following for θ, in radians, where 0≤θ<2π.
3cos2(θ)+6cos(θ)−4=0
Answer:
0 ≤ < 2
Step-by-step explanation:
Answer:1.02 5.27 are correct
Step-by-step explanation:We can solve this quadratic equation in cos(θ) by using the substitution u = cos(θ):
3u^2 + 6u - 4 = 0
Now we can use the quadratic formula to solve for u:
u = (-b ± sqrt(b^2 - 4ac)) / 2a
where a = 3, b = 6, and c = -4. Substituting these values, we get:
u = (-6 ± sqrt(6^2 - 4(3)(-4))) / 2(3)
u = (-6 ± sqrt(84)) / 6
u = (-3 ± sqrt(21)) / 3
Therefore, either:
7c
2
−2c−15=
\,\,-c^2
−c
2
?........................................
a. Economic theory describes the relationship between inflation and unemployment as:
O positive.
O negative.
O independent
b. Using real-world data, this theory:
O is never found to be true.
holds only for certain time periods.
holds for all time periods.
c. True or false: Economists unanimously agree with the Phillips curve representation of unemployment and inflation in the
real world.
False
True
Answer:
1: The correction option is B) Negative
Explanation
In economic theory, the Philips curve depicts the relationship between unemployment and inflation as a negative one. In order words, when inflation goes up, unemployment reduces.
The logic behind that thinking is, that inflation, which is the general increase in prices of goods/commodities and services is good for business. Business owners are quick to adjust to higher prices regardless of how it is induced and sometimes even profit from it in sectors not affected by inflation. So in such sectors, as business improves, it is assumed that there is a requirement to being in more hands to help with the expansion of the business.
2. The correct option is B) Holds for certain time periods
Explanation
Social scientists and researchers have plotted the data across various periods (20 years) using data from the US economy.
The following results emerged:
the traditional relationship between inflation and unemployment held in 2001 during the mild recession triggered by the 9/11 situation. Unemployment took an upward spiral averaging an increase of 6% while inflation nosedived by 2.5%;Another snapshot was taken in the mid-2000s. This time unemployment went belly-up by several degrees, while inflation took off in the opposite direction by almost 5% before receding in 2006 when unemployment bottomed; In another analysis, the consumer price index took a steep downward dive during the Great Recession. This time, unemployment took a bullish charge, going up as much as 10%This negative relationship failed to hold between 2012 to 2015. Both factors developed a positive relationship and moved in the same direction; There has also been a loss of strength in the negative relationship as also seen in recent times. Specifically, between 2016 to 2019 where unemployment has steadily receded to 50-year lows, with inflation remained steady at an average of 2%.So the correct answer is B.
3. The correct answer is True:
Explanation
As seen from the analysis above, the negative relationship remains largely true for most of the periods examined. Hence it is more pragmatic to expect a dip in unemployment whenever there is a spike in the CPI.
Cheers
the question is in the image
Answer:
There is not ant image?!
Are the ratios 6:3 and 4:2 equivalent
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
65$ in a ratio of 2:3
Answer:
26:39
Step-by-step explanation:
65=2x+3x
65=5x
x=13
26:39
check:
26+39=65
Lee Holmes deposited $17,000 in a new savings account at 9% interest compounded semiannually. At the beginning of year 4, Lee deposits an additional $42,000 at 9% interest compounded semiannually.
At the end of 6 years, what is the balance in Lee’s account? (Use the Table provided.)
The balance in Lee's account at the end of 6 years is $384,830.53.
What is the balance?The first step is to determine the future value of the initial amount deposited in the savings account.
The formula for calculating future value:
FV = P (1 + r)^nm
Where:
FV = Future value P = Present value R = interest rate = 9% / 2 = 4.50%m = number of compoundingN = number of yearsBalance at the end of 3 years: $17,000 x (1.045)^(3 x2) = $22,138.42
The total value of the account after $42,000 is deposited is:
$42,000 + $22,138.42 = $64,138.42
The future value of $64,138.42 at the end of 6 years is:
Balance at the end of 6 years: $64,138.42 x (1.045)^(3 x2) = $384,830.53
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Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified line. Sketch the region, the solid, and a typical disk or washer.
y = x5, y =
square root of x
; about the x-axis
Rotating the area bounded by the given curves around the designated line yields the solid's volume as \(V = \frac{9}{22}\pi\)
The area that any three-dimensional solid occupies is known as its volume. These solids can take the form of a cube, cuboid, cone, cylinder, or sphere. Different forms have various volumes.
The amount
of space that a solid occupies is measured by its volume. The amount of unit cubes required to completely fill the solid serves as the measurement. The capacity of an object to hold matter is generally thought of as its volume in three dimensions.
The functions provided are,
\(`y = f(x) = \sqrt{x}``y = g(x) = x^5`\)
By rotating the area around the x-axis, the solid's volume is given by (using washer method)
\(V = \pi int_a^b [f^2(x)-g^2(x)]dx\)
evaluate the integral, limit the plugins, and
\(V = \pi int_0^1 [(\sqrt{x})^2-(x^5)^2]dx\\\\V= \pi int_0^1 [x-x^10]dx V = \pi [\frac{x^2}{2}-\frac{x^11}{11}]_0^1 V = \pi [\frac{1^2}{2}-\frac{1^11}{11}]. V = \pi [\frac{1}{2}-\frac{1}{11}] = \frac{9}{22}\pi\)
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1+1-2×4÷6-25\(1 + 1 - 2 \times 4 \div 6 - 25\)please help me
The first step to solve the expression is to calculate first the products and divisions.
So first we need to calculate 2x4, and then the result we divide by 6:
\(\begin{gathered} 1+1-2\cdot4\text{ / 6 - 25} \\ 1+1-8\text{ / 6 - 25} \\ 1+1-\frac{4}{3}-25 \end{gathered}\)Now that we have only sums and subtractions, we can solve the remaining operations:
\(\begin{gathered} 1+1-\frac{4}{3}-25 \\ 2-\frac{4}{3}-25 \\ -23-\frac{4}{3} \\ \frac{-69-4}{3} \\ \frac{-73}{3} \end{gathered}\)So the final value of the expression is -73/3
Admission to the county fair costs $9 per person. The ride tickets cost $2.50 each.
Which equation represents the total cost, C, of visiting the fair where r represents the number of ride tickets bought?
Answer:$11.5
Step-by-step explanation:
Admission = $9 charged once
each ride = $2.5x (x=number of rides)
Total cost for x rides
=2.5x+9
The cost of printing T-shirts is defined by the equation C = 250+5.5n, where C represents the total
cost and I represents the number of T-shirts. If the school paid $965.00, how many T-shirts were
printed?
Answer:
The school paid for printing 130 T-shirts
Step-by-step explanation:
Function Models
We are given the cost of printing n T-shirts as the equation:
\(C=250+5.5n\)
For example, if 10 T-shirts were printed, the school would pay:
\(C=250+5.5(10)=250+55=\$305\)
We know the school paid $965 and are required to find the number of T-shirts that were printed. If we use the equation with C=965, we can solve it for n:
\(965=250+5.5n\)
\(965-250=5.5n \Rightarrow 5.5n=715\)
Solving:
\(n=715/5.5=130\)
The school paid for printing 130 T-shirts
A golf course has 18 holes. A guidebook provided to golfers includes useful information about each hole. The individuals in this data set are shown below.
A 4-column table with 6 rows. Column 1 is labeled hole number with entries 1, 2, 3, 4, 5, 6. Column 2 is labeled yards with entries 312, 530, 147, 350, 410, 185. Column 3 is labeled bunkers with entries 2, 5, 1, 0, 2, 1. Column 4 is labeled difficulty level with entries moderate, moderate, easy, moderate, hard, moderate.
Which of the variables in the data set is a categorical variable?
hole number
yards
bunker
difficulty level
The categorical data in the table is the number of holes (option 1).
What is a categorical data?Categorical variables are variables that can only take on a fixed or a limited number of values. Categorical variables are examples of qualitative data.
Categorical variables can be binary. This mean that they can either have two values. An example of categorical variable is yes or no. Binary variables can also be called dichotomous variable. A categorical variable is polytomous if can have more than two values.
In this question, the maximum hole number possible is 18 holes. The number of holes cannot exceed this number. Thus, the hole number is limited or fixed. Thus, hole number is a categorical data.
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Charges for advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is a percentage of the population of 110 million TV households. The CBS television show 60 Minutes recently had a rating of 7.8, indicating that 7.8% of the households were tuned to that show. An advertiser conducts an independent survey of 100 households and finds that at least b+1 were tuned to 60 Minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting at least 5+1 tuned to
60 Minutes.
The probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes is only 0.02%.
How to calculate the probabilityP(X <= 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4)
P(X = k) = (100 choose k) * 0.078^k * (1 - 0.078)^(100-k)
P(X <= 4) = (100 choose 0) * 0.078^0 * (1 - 0.078)^(100-0) + (100 choose 1) * 0.078^1 * (1 - 0.078)^(100-1) + (100 choose 2) * 0.078^2 * (1 - 0.078)^(100-2) + (100 choose 3) * 0.078^3 * (1 - 0.078)^(100-3) + (100 choose 4) * 0.078^4 * (1 - 0.078)^(100-4)
Using a calculator or software, we can find that:
P(X <= 4) = 0.000203
This means that the probability is 0.02%.
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Charges for TV advertising on a TV show are based on the number of viewers, which is measured by the rating. The rating is the percentage of population of 110 million TV households.The CBS television show 60 minutes recently had a rating of 7.8, indicating that 7.8% of the household were tuned to that show.An advertiser conducts an independent survey of 100 households and finds that only 4 were tuned to 60 minutes. Assuming that the 7.8 rating is correct, find the probability of surveying 100 randomly selected households and getting 4 or fewer tuned to 60 minutes.Does the result suggest that the rating of 7.8 is too high?
A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at (2, 1) and B at (4, 2) and through (8, 4). There is a vertical dashed line starting at point A extending two units to the right and one unit up to point B.
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary
Answer:
On edge 2021
Step-by-step explanation:
!st:1
2nd:2
3rd:0.5
Answer:
A coordinate plane with a straight line with a positive slope. The line starts at (0, 0) and passes through points labeled A at (2, 1) and B at (4, 2) and through (8, 4). There is a vertical dashed line starting at point A extending two units to the right and one unit up to point B.
What is the vertical change from Point A to Point B?
1
What is the horizontal change from Point A to Point B?
2
What is the rate of change shown on the graph? Give the answer as a decimal rounded to the nearest tenth, if necessary
0.5
Step-by-step explanation:
Please provide the answer
The radius of the circle is determined as r = 5.
option B.
What is the radius of the circle?The radius of the circle is determined by applying the general formula for circle equation.
(x - h)² + (y - k)² = r²
where;
h, k is the center of the circle r is the radius of the circlex, y are the coordinates of any point on the circleThe given circle equation;
4x² + 4y² = 100
Simplify the equation by dividing through by 4;
x² + y² = 25
x² + y² = 5²
So from the equation above, the radius of the circle corresponds to 5.
r = 5
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An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following a large-sample. To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ___. Round your answer to three decimal places.
Answer:
The sample proportion is p = 0.04.
Step-by-step explanation:
The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...
Sample of 200 pills.
Eight have failed to retain their full potency.
So the sample proportion is:
\(p = \frac{8}{200} = 0.04\)
Rlly confused pls help
Answer:
a. 6cm
b. 10kg
c. 2litres
A magazine includes a report on the energy costs per year for32-inch liquid crystal display (LCD) televisions. The article states that 14 randomly selected 32-inch LCD televisions have a sample standard deviation of $3.42 . Assume the sample is taken from a normally distributed population. Construct 98 % confidence intervals for (a) the population variance sigma squared and (b) the population standard deviation sigma .
Interpret the results. (a) The confidence interval for the population variance is (___,___ ). (Round to two decimal places as needed.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98 % confidence, you can say that the population variance is less than ___.
B. With 2 % confidence, you can say that the population variance is between nothing and ___ .
C. With 98 % confidence, you can say that the population variance is between ___ and ___ .
D. With 2 % confidence, you can say that the population variance is greater than ___
(b) The confidence interval for the population standard deviation is (n___,___). (Round to two decimal places asneeded.)
Interpret the results. Select the correct choice below and fill in the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. With 98% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
B. With 98% confidence, you can say that the population standard deviation is greater than ___ dollars per year.
C. With 2% confidence, you can say that the population standard deviation is less than ___ dollars per year.
D. With 2% confidence, you can say that the population standard deviation is between ___ and ___ dollars per year.
Answer:
a
The confidence interval for the population variance is \( 5.49 < \sigma^2 < 37.02 \)
The correct option is C
b
The confidence interval for the population standard deviation is \( 2.34 < \sigma < 6.08 \)
The correct option is A
Step-by-step explanation:
From the question we are told that
The sample size is n = 14
The standard deviation is \(s = \$3.42\)
Generally the degree of freedom is mathematically represented as
\(df = 14 -1\)
=> \(df = 13 \)
Given that the confidence level is 98% then that level of significance is
\(\alpha = (100 -98) \%\)
=> \(\alpha = 0.02\)
Generally the 98% confidence interval for the variance is mathematically represented as
\(\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}} < \sigma^2 < \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}\)
=> \(\frac{(14- 1) (3.42)^2}{x^2 _{[\frac{0.02 }{2} , 13]}} < \sigma^2 < \frac{(14- 1) (3.42)^2}{x^2 _{[1- \frac{0.02 }{2} , 13]}}\)
From the chi -distribution table
\(x^2 _{[1- \frac{0.02 }{2} , 13]} = 4.107\)
and
\(x^2 _{[\frac{0.02 }{2} , 13]} = 27.689\)
So
=> \(\frac{(14- 1) (3.42)^2}{27.689} < \sigma^2 < \frac{(14- 1) (3.42)^2}{4.107}\)
=> \( 5.49 < \sigma^2 < 37.02 \)
Generally the 98% confidence interval for the standard deviation is mathematically represented as
\(\sqrt{\frac{(n- 1) s^2}{x^2 _{[\frac{\alpha }{2} , df]}}} < \sigma <\sqrt{ \frac{(n- 1) s^2}{x^2 _{[1- \frac{\alpha }{2} , df]}}}\)
=> \(\sqrt{5.49} < \sigma < \sqrt{37.02 }\)
=> \( 2.34 < \sigma < 6.08 \)
Which of the following is a radical equation?
a. x StartRoot 3 EndRoot = 13
b. x + StartRoot 3 EndRoot = 13
c. StartRoot x EndRoot + 3 = 13
d. x + 3 = StartRoot 13 EndRoot
Answer:
the answer is D
Step-by-step explanation:
A motorboat can maintain a constant speed of 11 miles
per hour relative to the water. The boat makes a trip
upstream to a certain point in 26 minutes; the return trip
takes 18 minutes. What is the speed of the current?
The speed of the current is
mile(s) per hour.
Answer:
2 miles per hour.
Step-by-step explanation:
When the boat is traveling upstream (against the current), its effective speed is reduced by the speed of the current. Therefore, the boat's speed relative to the ground (or still water) during the upstream trip is 11 - c miles per hour.
Similarly, when the boat is traveling downstream (with the current), its effective speed is increased by the speed of the current. Therefore, the boat's speed relative to the ground during the downstream trip is 11 + c miles per hour.
Given that the boat takes 26 minutes (or 26/60 hours) to make the upstream trip and 18 minutes (or 18/60 hours) to make the downstream trip, we can set up the following equations:
Distance = Speed × Time
For the upstream trip:
Distance = (11 - c) × (26/60)
For the downstream trip:
Distance = (11 + c) × (18/60)
Since the distances traveled in both directions are the same (as the boat goes to the same point and returns), we can equate the two equations:
(11 - c) × (26/60) = (11 + c) × (18/60)
Let's solve this equation to find the value of "c" (the speed of the current):
(11 - c) × (26/60) = (11 + c) × (18/60)
(11 - c) × 26 = (11 + c) × 18
286 - 26c = 198 + 18c
44c = 88
c = 88/44
c = 2
I need help answering some math questions,
Answer:lake a:7 lake b:9 lake c 21
Step-by-step explanation:
Paul needs to buy 5/8 pound of peanuts. The scale at the store measures parts of a pound in sixteenths. What measure is equivalent to 5/8 pound?
Answer:
10 / 16
Step-by-step explanation:
10/16
5 x 2 = 10
8 x 2 = 16
Brain plants trees. He uses 3 parts fertilizer to plant 5 parts to soil to fill the hole around each tree.If Brain uses a total of 80 gallons of fertilizer and soil how much of the 80 gallons is fertilizer?
Answer:
Step-by-step explanation:jj
start with part b rest of question provided in photo
b. The inequality is given
\(50x+0.25y\leq250\)The graph of the inequality is
the 7th-grade class wants to collect empty soda pop cans to earn $50.00. If pop cans earn $0.25 per pound how many cans will they need to collect to earn the $50.00?
200 pounds need to collect to earn the $50.00. Divide the cost per pound from the total amount needed, \(\frac{50.00}{0.25}\)= 200 pounds.
Is the British pound?The official money of the U.k. and its regions is the GBP, or British pound sterling. The Pound is the earliest currency that is still accepted as legal tender in the entire world. The GBP, represented by pound sign (£), has one of the greatest trade volumes worldwide.
What makes something a "pound"?The development of the pounds sterling -The Latin word "libra," which means balance and weight, is where the name "pound sterling" comes from. During the years, the pound banknotes underwent various revisions before being initially printed by the Bank of England and over 300 years ago.
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1532=8467 4286=5713 3059=
Answer:
3059=6940
Step-by-step explanation:
For the two examples given, we can see a consistency:
1 becomes 8 ; 8 becomes 1
5 becomes 4 ; 4 becomes 5
3 becomes 6 ; 6 becomes 3
2 becomes 7
because they are the only two digits left without a correlated pair, we can assume that 0 and 9 have the same relationship
So,
3 -> 6
0 -> 9
5 -> 4
9 -> 0
Meaning that 3059=6940
hope this helps!! have a lovely day :)
What's 0.0063 as a decimal
round to the 100ths place
Answer:
0.01
Step-by-step explanation: