1) Let's set a proportion to find 5 radians equivalence to degrees and then locate which quadrant
\(\begin{gathered} \theta=5 \\ \pi-----180\circ \\ 5------x \\ \\ x=\frac{5\text{ x 180}}{\pi} \\ x=286.5\text{ or }\frac{900}{\pi} \\ \end{gathered}\)So since Quadrant IV is >270º and < 360º.
θ is in Quadrant IV
2) Let's find the Reference angle
Since the angle is in Quadrant IV, we subtract from 360º (or 2pi)
360º-286.5=73.5º
or
\(2\pi-\frac{900}{\pi}=\frac{2\pi-900}{\pi}\)In Ms. Nieves class 17 out of 26 students turned in their homework in on time
What percentage of the students handed in their homework on time?
Answer:
0.607142857, = About 60 percent
Step-by-step explanation:
When the question says that much out of that, you divide by. For example, 99 out of 102, you do 99 divided by 102. Then just round to the nearest hundredth. So answer of that would be 97 percent.
the slope of the line that passes through the points (-2,-1) and (-2,7)
Answer:
The answer is zero.
Step-by-step explanation:
When you put the coordinates in the point-slope formula, it will be 7 - (-1) over -2 - (-2), which is 8/0. When the denominator is zero in the fraction, the answer is zero.
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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Help me, please! Love math but there are some things that fumble my brain. Look at the picture below and follow directions. Please provide a reasonable answer.
Answer:
In 2007 it was 450 and 2011 it was 300
Step-by-step explanation:
So the change was 300 I think this correct
if 12-3n = -7n-4(n +5), what is 32-5n
Answer:
52
Step-by-step explanation:
12-3n=-7n-4(n+5)
Step 1: distribute
12-3n=-7n-4n-20
Step 2: Combine like terms
12-3n=-11n-20
Step 3: Move N to one side
12-3n=-11n-20
+11n +11n
12+8n=-20
Step 4: Get normal numbers to the other side
12+8n=-20
-12 -12
8n=-32
Step 5: Take away the number infront of N by dividing each side by the number of Ns
8n=-32
/8 /8
n= -4
Step 6: Plug N into: 32-5n
32-5(-4)
Step 7: Get rid of parenthesis by multiplying. Negative times Negative is positive.
32+20
Step 8: Finish the problem
Answer is 52
need help!! also this is 17 points so yeah :)
Manny's Grocery Store has a rectangular logo for their business that measures 1.9 meters long with an area that is exactly the maximum area allowed by the building owner. Create an equation that could be used to determine L, the unknown side length of the logo.
Answer:
Let W be the width of the logo. The area of the rectangular logo is given by:
A = L × W
From the problem, we know that the length of the logo is 1.9 meters, so:
L = 1.9 m / W
We also know that the area of the logo is exactly the maximum area allowed by the building owner, so we can write:
A = max area = 25 m^2
Substituting the expression for L in terms of W, we get:
A = L × W
25 m^2 = (1.9 m / W) × W
Simplifying and solving for W, we get:
25 m^2 = 1.9 m × W
W = 25 m^2 / 1.9 m
W ≈ 13.16 m
Finally, we can use the expression for L in terms of W to find the length of the logo:
L = 1.9 m / W
L ≈ 0.144 m
Therefore, the equation that could be used to determine L, the unknown side length of the logo, is:
L = 1.9 m / W, where W is the width of the logo.
Step-by-step explanation:
for what values of r does the function y = erx satisfy the equation y'' 7y' 10y = 0?
To find the values of r for which the function y = e^(rx) satisfies the differential equation y'' + 7y' + 10y = 0, we need to substitute the function into the equation and solve for r.
First, we find the derivatives of y:
y' = d/dx(e^(rx)) = re^(rx)
y'' = d^2/dx^2(e^(rx)) = r^2e^(rx)
Substituting these derivatives into the differential equation, we have:
r^2e^(rx) + 7re^(rx) + 10e^(rx) = 0
We can factor out e^(rx) from this equation:
e^(rx)(r^2 + 7r + 10) = 0
For this equation to hold, either e^(rx) = 0 or (r^2 + 7r + 10) = 0.
Since e^(rx) is always positive and never equal to zero, we focus on the quadratic equation:
r^2 + 7r + 10 = 0
We can solve this quadratic equation by factoring:
(r + 2)(r + 5) = 0
Setting each factor equal to zero, we get two possible solutions:
r + 2 = 0 --> r = -2
r + 5 = 0 --> r = -5
Therefore, the values of r for which the function y = e^(rx) satisfies the differential equation y'' + 7y' + 10y = 0 are r = -2 and r = -5.
To determine the values of r for which the function y = e^(rx) satisfies the equation y'' + 7y' + 10y = 0, we need to find the values of r that make the function a solution to the given differential equation. This can be achieved by substituting the function into the differential equation and solving for r.
By doing so, we can obtain the values of r that satisfy the equation.
The given differential equation is y'' + 7y' + 10y = 0, where y'' represents the second derivative of y with respect to x and y' represents the first derivative of y with respect to x.
We can substitute the function y = e^(rx) into the differential equation to obtain:
(e^(rx))'' + 7(e^(rx))' + 10(e^(rx)) = 0
Differentiating e^(rx) twice yields:
r^2e^(rx) + 7re^(rx) + 10e^(rx) = 0
Factoring out e^(rx), we have:
e^(rx)(r^2 + 7r + 10) = 0
For this equation to hold true for all x, the expression in the parentheses must equal zero. Therefore, we solve the quadratic equation r^2 + 7r + 10 = 0.
Using factoring or the quadratic formula, we find the roots of the equation: r = -2 and r = -5.
Hence, the values of r that make the function y = e^(rx) satisfy the differential equation y'' + 7y' + 10y = 0 are r = -2 and r = -5.
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GUYS PLEASE HELP ME OMG EVERYONE KEEPS SKIPPING:(((
please i need to finish!!
TYSM TO WHOEVER HELPED!
9. John bought a case of 12 boxes of Macaroni and Cheese for $11.99. When he got home, he noticed that the same case of Macaroni and Cheese was on sale at a different location for $10.49. How much would he have saved per box of Macaroni had he purchased it at the other location? Show work.
Answer:
12.5 cents per box
Step-by-step explanation:
First, find the price difference of the cases.
11.99 - 10.49 = $1.50
We want to find the money saved per box so divide $1.50 by 12.
1.50/12 = 12.5 cents
SOLVE FOR X WILL GIVE BRAINLEST
Answer:
The first one is -3
The second one is 2
Step-by-step explanation:
A flower bed in the corner of your yard is in the shape of a right triangle. The perpendicular sides of the bed measure 7
feet and 9 feet. Calculate the area of the flower bed.
a. 39.5 sq.ft
C. 21.5 sq.ft
b. 31.5 sq.ft
d. 11.5 sq. ft
Point L is on line segment
K
M
‾
KM
. Given
L
M
=
2
LM=2 and
K
M
=
19
,
KM=19, determine the length
K
L
‾
.
KL
.
Answer:
k is the option that makes sense
As a Six Sigma expert, which of these is important not to allow?
a. Showing up to meetings late.
b. Biases to force statistical conclusions that aren't supported by the data.
c. Input from other Six Sigma Certified experts.
d. Allowing other professionals to assist with gathering and analyzing statistical Information.
Hence, as a Six Sigma expert, it is important not to allow biases to force statistical conclusions that aren't supported by the data. The answer is (b).
As a Six Sigma expert, it is important not to allow biases to force statistical conclusions that aren't supported by the data.What is Six Sigma?Six Sigma is a problem-solving methodology that uses data and statistical analysis to improve processes and eliminate defects. It aims to eliminate defects, reduce waste, improve quality, and increase efficiency in an organization. It is essential to eliminate any biases or preconceived notions when working with Six Sigma methodology. To achieve optimal results, a Six Sigma expert must ensure that they follow the DMAIC methodology's steps, which includes define, measure, analyze, improve, and control. Additionally, it is crucial to collect, analyze, and use data and facts, which is supported by the data and statistics gathered during the process.In conclusion, biases must be eliminated to ensure that statistical conclusions are supported by the data. Hence, as a Six Sigma expert, it is important not to allow biases to force statistical conclusions that aren't supported by the data. The answer is (b).
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MARKING BRAINLEIST AND 100 POINTS JUST PLS EXPLAIN HOW TO SOLVE!!
What is the length of segment AB when A(-2,2) and
B(5,2)?
Answer:
7
Step-by-step explanation:
You have to do the square root of: (5-(-2)) squared pluse (2-2) squared
Now you have the square root of 7 squared
7 squared is 49, so you have the square root of 49
that equals 7
*Don't forget to mark brainliest
Select one or more expressions that together represent all solutions to the equation. Your answer should be in radians. Assume n is any integer. 16 cos(15x)+8=2
The value of x is for the given trigonometric function is found as: x = 0.1303 + 1/15 *2nπ.
Explain about the solutions of trigonometric functions?The fact that too many trigonometric equations have infinitely multiple solutions rather than two makes a significant distinction. We will learn how to interpret one solution of an equation in terms of all the other answers by using the inverse trigonometric functions.The given expression is:
16 cos(15x) + 8 = 2
On simplification:
cos(15x) = (2-8)/16
cos(15x) = -3/8
15x = arcos ( -3/8 )
15x = 2π - arcos ( -3/8 )
15x = arcos ( -3/8 ) + 2nπ ;or
15x = 2π - arcos ( -3/8 ) + 2nπ ; n ∈ Z
So,
15x = 1.955 + 2nπ
x = 1/15(1.955 + 2nπ)
x = 0.1303 + 1/15 *2nπ , n ∈ Z
Thus, the value of x is found as: x = 0.1303 + 1/15 *2nπ.
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The complete question is attached:
The ratio of green marbles to red marbles is 3 to 5. If there are 18 green marbles, how many red marbles are there?
Answer:
The are 5 marbles
Step-by-step explanation:
51/85 = 3/5 As a result, there are 51 red and 85 green marbles.
Help meh ill mark you all 4 plz if you can
Answer:
Step-by-step explanation:
5+ 1 7/8 = 6 7/8
3 - 1 3/4 = 1 1/4
7 3/4 + 4 = 11 3/4
4- 2 3/7 = 1 4/7
What are the FACTORS of this equation?
x^2 + 11x + 30 = 0
(x + 2)(x + 15)
x = -2, x = -15
x = -5, x = -6
(x + 5),(x + 6)
um i would say 25 all together
A firm experiences_______ if inputs are doubled and output more than doubles. diminishing marginal rate of technical substitution diminishing marginal product decreasing returns to scale increasing returns to scale
A firm experiences increasing returns to scale if inputs are doubled and output more than doubles.
When the firm's output grows at a faster rate than the growth in inputs, increasing returns to scale result. In this case, the company experiences economies of scale, which makes it more effective as it grows its production.
The firm is able to boost productivity and efficiency as it expands its scale of operations if inputs are doubled and output more than doubles.
This can be ascribed to a number of things, including specialisation, labour division, the use of capital-intensive technology, discounts for bulk purchases, and spreading fixed costs over a higher output. Lower average costs per unit of output result in higher profitability and competitiveness for the company.
The firm gains a number of benefits from growing returns to scale. First off, it lets the company to benefit from cost savings brought about by economies of scale, allowing it to manufacture goods or services for less money per unit. This may enable more competitive pricing on the market or result in larger profit margins.
Second, raising returns to scale can result in better operational effectiveness and resource utilisation. As the company grows in size, it will be able to use resources more wisely and profit from production volume-related synergies.market prices that are competitive.
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List the possible rational roots and actual rational roots for the equation x^3-2x^2+x+18=0
Answer: The possible rational roots are
± 1 , ±2 , ± 4 , ± 5 , ± 10 , ± 20 . The rational roots are x = − 2 , x = 2 , x = 5 .
Answer:
D on Edge
Step-by-step explanation:
Jamie's favorite breakfast in the world is scrambled eggs. His family
currently has 22 eggs. If he eats 2 eggs per day, in how many days will his
family have 6 eggs left?
Answer:
8 days
Step-by-step explanation:
2x8=16
22-16=6
Hope this helps!
Your answer should be a polynomial in standard form.
please help
(9b - 1)(9b+ 1) =
Please help I need this
Answer:
1/14xy(x²+3y)
Step-by-step explanation:
the first common factor is;
1/14 and xy
=1/14xy(x²+3y)
Hiking The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top
of a mountain. The equation of a trend line for the hiker's elevation is y=9.01x+647, where x
represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the
trend line to estimate the hiker's elevation after 150 minutes.
After 150 minutes, the hiker's elevation will be about
(Round to the nearest whole number as needed.)
feet above sea level.
1.000
1.500-
The hiker's elevation after 150 minutes is given as follows:
1998.5 feet.
How to find the numeric value of a function or of an expression?To find the numeric value of a function or of an expression, we replace each instance of the variable in the function or in the expression by the value at which we want to find the numeric value.
For this problem, the function is given as follows:
y = 9.01x + 647.
Giving the hiker's elevation after x minutes.
Hence the hiker's elevation after 150 minutes is found with the numeric value at x = 150, replacing the lone instance of x by 150, hence:
y = 9.01(150) + 647 = 1998.5 feet.
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HURRY IM TIMED!!!!! How much would Kelly have in her account after three years if she started with $200 and earns 2 percent, compounding annually?
$212.24
$12.24
$200.00
$400.00
Answer:
$212.24
Step-by-step explanation:
Start: $200
After 1 year: $200 * 1.02 = $204
After 2 years: $204 * 1.02 = 208.08
After 3 years: $208.08 * 1.02 = $212.24
Answer: $212.24
Answer:
212.24
Step-by-step explanation:
the answer is 212.24
if you have a set of data pairs that show the amount of rain for each month of the year, what type of graph would you use?
Solution
Question: Which type of graph would you use to compare the amount of rainfall each month for one year.
Answer: Line Graph
i.e Bar graph , Histogram, etc
A company makes rectangular tablet screens. The company's new model will have the following
• The screen height will be x centimeters and the width will be (x - 5) centimeters.
• The area of the screen will be 150 square centimeters.
Create an equation that can be used to find the height, x, in centimeters, of the new model's screer
Answer: 82
Step-by-step explanation:
oo-5co-150=0
a large national study finds that 10% of pregnant women deliver prematurely. a local obstetrician is seeing 20 pregnant women in the next week at their clinic. (round answers to 3 decimal places)
The probability that fewer than 3 women will deliver prematurely is 1/20.
What is probability?Simply put, the probability is the likelihood that something will occur. When we don't know how an event will turn out, we can discuss the likelihood or likelihood of various outcomes. Statistics is the study of events that follow a probability distribution. The total number of positive outcomes as well as the probability of any given event depend on each other. The probability is typically defined as the proportion of favorable outcomes to all outcomes in the sample space. Probability of an event P(E) = (Number of favorable outcomes) ÷ (Sample space).So, 10% of 20:
20/100 × 10 = 2 (Which is less than 3)Then, Premature delivery (Of fewer than 3 women) = 1Total events = 20P(E) = favourable/total events1/20Therefore, the probability that fewer than 3 women will deliver prematurely is 1/20.
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The correct question is given below:
A large national study finds that 10% of pregnant women deliver prematurely. a local obstetrician is seeing 20 pregnant women in the next week at their clinic. what is the probability that fewer than 3 of them will deliver prematurely?
The volume of a sphere is (500π)/3 cubic inches. What is the circumference of the great circle of the sphere? (Use 3.14 for pi. Round the answer to the nearest tenth, if necessary. Recall that the formula for the volume for a sphere is v=4/3πr^3 and the formula for the circumference of the great circle is c=πd.)
The circumference of the great circle of the sphere is approximately 31.4 inches.
To find the circumference of the great circle of the sphere with a volume of (500π)/3 cubic inches, we will first find the radius (r) using the volume formula, and then use the circumference formula.
Step 1: Use the volume formula to find the radius.
The volume formula for a sphere is V = (4/3)π\(r^3\). We are given the volume as (500π)/3, so we can set up the equation:
(500π)/3 = (4/3)π\(r^3\)
Step 2: Solve for r.
To solve for r, we can first divide both sides by (4/3)π:
[(500π)/3] / [(4/3)π] = \(r^3\)
Cancelling the π and the 3 from both sides, we get:
500 / 4 = \(r^3\)
125 = \(r^3\)
Now, take the cube root of both sides:
r = 5
Step 3: Use the circumference formula to find the circumference of the great circle.
The circumference formula for a circle is C = πd, and since the diameter (d) is twice the radius, we have:
C = π(2r) = π(2 × 5) = 10π
Step 4: Calculate the circumference using 3.14 for π and round to the nearest tenth.
C = 10 × 3.14 ≈ 31.4
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What is the volume of a rectangular prism with a length of 4. 7 feet, a width of 1. 5 feet, and a height of 1. 6 feet?
O 7. 1 ft
7. 8 ft
O 8. 65 ft
11. 28 ft
The volume of a rectangular prism with a length of 4.7 feet, a width of 1.5 feet, and a height of 1.6 feet is 11.28 cubic feet.
To find the volume of a rectangular prism, we multiply its length, width, and height. In this case, the length is 4.7 feet, the width is 1.5 feet, and the height is 1.6 feet. By multiplying these values, we get:
Volume = Length x Width x Height
Volume = 4.7 ft x 1.5 ft x 1.6 ft
Volume = 11.28 cubic feet
Therefore, the volume of the given rectangular prism is 11.28 cubic feet.
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