Rounding the answer to the nearest whole number, we get the area of the sector ABC as 47 square centimeters.
What is area?Area is the measure of the size of a two-dimensional region or surface, usually expressed in square units such as square meters, square feet, or square centimeters. It is the amount of space inside the boundaries of a closed shape or figure, and it can be calculated by multiplying the length by the width for regular shapes or by using specific formulas for irregular shapes.
Here,
To find the area of the sector ABC, we need to use the formula:
Area of sector = (θ/360) x πr²
where θ is the central angle in degrees, r is the radius of the circle, and π is a constant approximately equal to 3.14.
In this case, θ = 150°, r = 6 cm, and we can use the approximation π ≈ 3.14.
Therefore, the area of the sector ABC is:
(150/360) x 3.14 x 6² ≈ 47
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fencing a garden a homeowner has 100 ft of fencing to enclose a rectangular garden. if the garden is to be 5 ft longer than it is wide, find its dimensions.
The dimensions of the rectangular garden is 25 feet by 50 feet
To find the dimensions of a rectangular garden that is 5 feet longer than it is wide, when the homeowner has 100 feet of fencing to enclose it, you can use the equation for the perimeter of a rectangle (P = 2l + 2w). Since the perimeter of the rectangle is given (100 feet), you can solve for l and w, the length and width of the rectangle.
P = 2l + 2w
100 = 2l + 2w
50 = l + w l = 50 - w
2(50 - w) + 2w = 100
100 - w = 2w , w = 25 l = 50 - 25, l = 25
Therefore, the dimensions of the rectangular garden that is 5 feet longer than it is wide, when the homeowner has 100 feet of fencing to enclose it, is 25 feet by 50 feet.
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Which one is correct
Answer:
i believe its false good Sir
Answer:
It is False
Step-by-step explanation:
The line of this graph isn’t linear so it isn’t proportional
Joel has a goal to practice is clarinet for 4 1/2 hours per week the list below shows the number of hours Chihuahuas practice so far this week Monday 1 1/2 hours Wednesday 11
Complete question:
Joel has a goal to practice his clarinet for 4 1/2 per week. The list below shows the number of hours Joel has a practiced so far for the week. Monday 1 1/2 hours Wednesday 1 1/4 hours Thursday 1 hour How many more hours does he need to practice this week to meet his goal
Answer: 3/4 hours
Step-by-step explanation:
Target hours = 4 1/2 hours = 9/2 hours
Number of hours so far :
(1 1/2 + 1 1/4 + 1) = (3/2 + 5/4 + 1) hours
Total so far :
L. C. M of denominator = 4
(6 + 5 + 4) /4 = 15/4
Number of hours left to meet his target equals :
Target hours - total so far
( 9/2 - 15/4)
L. C. M of denominator = 4
(18 - 15) / 4 = 3/4 hours
.
x=y-y and 2x+4y=10 solve using substitution
Answer:
(0, 2.5)
Step-by-step explanation:
Well we substitute y-y into x in the following equation,
2x + 4y = 10
2(y-y) + 4y = 10
2y - 2y + 4y = 10
Combine like terms
2y - 2y = 0
4y = 10
10/4
y = 2.5
If y is 2.5 we can plug those into y.
2x + 4(2.5) =10
2x + 10 = 10
-10
2x = 0
0/2
x = 0
an rn is preparing to administer 5% dextrose 1000ml iv infusion over 8 hours via an infusion pump. how many ml/hours the rn should set up the infusion pump? round to nearest complete number
Answer:
The RN should set up the infusion pump to deliver 125 mL/hour.
To calculate the infusion rate, we can use the following formula:
Infusion rate = Volume / Time
In this case, the volume is 1000 mL and the time is 8 hours. Plugging these values into the formula, we get the following:
Infusion rate = 1000 mL / 8 hours
Infusion rate = 125 mL/hour
Therefore, the RN should set up the infusion pump to deliver 125 mL/hour.
It is important to note that this is just the calculated rate. The actual rate may vary slightly depending on the type of infusion pump and the settings that are used.
Step-by-step explanation:
Write the word sentence as an equation and then solve
-7 increased by a number n is 12
A: -n - 7 = 12n = -19
B: 12+n = -7n = 7/12
C: -7 + n =12n=19
D: None of the Above
Answer:
It may be C or D
I think its C.
Sorry if I'm wrong.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
let the number be n then increasing - 7 by n is - 7 + n and
- 7 + n = 12 ( add 7 to both sides )
n = 19
PLEASE HELP ME PLEASE no one has been answering and I’ve asked 20 times and keep getting hot replies :”((( PLEASE HELP
Answer: X = 6
Hope This Helps!
A bag contains 2
2
blue marbles, 2
2
red marbles, and 2
2
yellow marbles.
If Jenna randomly draws a marble from the bag (and puts it back) 15
15
times, how many times should she expect to pull a yellow marble?
Answer:
5 times
Step-by-step explanation:
Jenna wil most likely pull a yellow marble 1/3 of the time, because the total number of marbles is 6, and there are 2 yellow marbles, 2/6 which is 1/3. 1/3 times 15 is 5. So Jenna will most likely pull a yellow marble 5 times.
Yall PLease help with this one.
Answer:
i think 4<6
Step-by-step explanation:
Answer:
=
Step-by-step explanation:
5j543nn al
help please you don’t have to though
Karla wants to buy a digital camera for $151.20. She has $36.20 and is saving $2.50 each week. In how many weeks will she have enough money saved to purchase the camera?
What is the equation?
What is number of weeks?
the 1 cm long second hand on a clock rotates smoothly. determine the average speed of the tip of the second hand.
The average speed of the tip of the second hand is π/30 cm/s.
How to calculate the average speed of second hand on clock with given length?The average speed of the tip of the second hand is π/30 cm/s. This is because the second hand rotates in a full circle of 2π radians in 60 seconds, which means its angular velocity is 2π/60 = π/30 radians per second.
The length of the second hand is 1 cm, so the linear velocity of the tip of the second hand is equal to the product of its length and angular velocity, which is (1 cm) x (π/30 rad/s) = π/30 cm/s. Therefore, the average speed of the tip of the second hand over the full 60-second cycle is π/30 cm/s.
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Let f(x)=2(1/3)x-3+1. The graph of f(x) is stretched vertically by a factor of 3 to form the graph of g(x). Enter the equation for g(x) on the box. Help! Will give 22 points.
According to question the equation for g(x) is g(x) = 2x - 2.
The vertical stretch of the graph of f(x) by a factor of 3 will result in a new function g(x). To find the equation for g(x), we need to multiply the function f(x) by 3, which will stretch the graph vertically by a factor of 3:
g(x) = 3*f(x)
Substitute the expression for f(x) into the equation for g(x):
g(x) = 3*(2/3)x - 3 + 1
Simplify:
g(x) = 2x - 2
what is graph?
A graph is a visual representation of data or mathematical functions, typically depicted as a diagram that shows the relationship between two or more variables. In mathematics, graphs can be used to represent functions, equations, inequalities, and geometric shapes. In data analysis, graphs can be used to display information in a clear and concise manner, making it easier to interpret and draw conclusions. There are several types of graphs, including bar graphs, line graphs, scatter plots, pie charts, and histograms, each with its own unique characteristics and uses.
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Which expresion is equivalent to -5 -(-7)?
HURRY 20 POINTS
Answer:
2 (the answer should have a positive sign.)The equivalent to -5-(-7) is -5+7.Step-by-step explanation:
To solve this problem, use the order of operations.
PEMDAS
Parentheses
Exponents
Multiply
Divide
Add
Subtract
\(\sf{-5-(-7)=-5+7}\)
\(\sf{-5+7}\)
Add or subtract.
Solve.
\(-5+7=2\)
\(\large\boxed{2}\)
So, the correct answer is 2.
Answer:3+(px6)
Step-by-step explanation:
Can anyone help??? due in 10 mins please.
Step-by-step explanation:
(6x+4)+(4x+26)+110°=180°{straight angle}
10x+140=180°
10x=180-140
x=40/4
x=10
(6x+4)=(6×10+4)=(60+4)=64°
(4x+26)=(4×10+26)=40+26=66°
hope it helps.
Answer:
6x+4+4x+26+110=180 straight line
10x=180-140
x=40/10=4
<A=4x+26=4×4+26=42
Simplify. square root 60a^3
Answer:
2root of 15
Step-by-step explanation:
Answer:
2a\(\sqrt{15a}\)
Step-by-step explanation:
HELLLLLLLLPPPPPPPPPPPPPPPPP
Answer:
Step-by-step explanation:
the first one
A component of a computer has an active life, measured in discrete units, that is a random variable T, where Pr{T = k} == a,, for k = 1, 2.... . Suppose one starts with a fresh component, and each component is replaced by a new component upon failure. Let X,, be the age of the component in service at time n. Then {Xn} is a success runs Markov chain. (a) Specify the probabilities "pi" and "qi". (b) A "planned replacement" policy calls for replacing the component upon its failure or upon its reaching age N, whichever occurs first. Specify the success runs probabilities "pi" and "qi" under the planned replacement policy.
(a) We have:
pi = a, for i = 0, 1, 2, ...
qi = 1 - a, for i = 0, 1, 2, ...
(b) We have:
pi = a, for i = 0, 1, 2, ..., N-1
pi = 0, for i = N
qi = 1 - a, for i = 0, 1, 2, ..., N-1
qi = 0, for i = N
(a) To specify the probabilities "pi" and "qi" for the success runs Markov chain, we need to define the transition probabilities.
Let's define "pi" as the probability of a component lasting exactly "i" units of time before failing, and "qi" as the probability of a component failing at or before "i" units of time.
For the success runs Markov chain, the transition probabilities are as follows:
- The probability of moving from state "i" to state "i + 1" is "a" since it represents the probability of the component surviving one additional unit of time.
- The probability of moving from state "i" to state "0" (failure) is "1 - a" since it represents the probability of the component failing.
Therefore, we have:
pi = a, for i = 0, 1, 2, ...
qi = 1 - a, for i = 0, 1, 2, ...
(b) Under the planned replacement policy, the component is replaced upon its failure or upon reaching age N, whichever occurs first. This policy introduces an additional state to the Markov chain, which is the state of replacement (state N).
The updated transition probabilities for the success runs Markov chain under the planned replacement policy are as follows:
- The probability of moving from state "i" to state "i + 1" (where i < N) remains "a" since the component continues to function.
- The probability of moving from state "i" to state "N" (replacement) is "1 - a" since the component fails before reaching age N.
- The probability of moving from state "N" to state "0" (failure) is 1 since the replacement occurs at age N, and the new component starts at age 0.
Therefore, we have:
pi = a, for i = 0, 1, 2, ..., N-1
pi = 0, for i = N
qi = 1 - a, for i = 0, 1, 2, ..., N-1
qi = 0, for i = N
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Plzz help
y+10 /10 = y-2 /4
solve for y
Answer:
There are no values of y in this equation. so therefore there is no solution.
Step-by-step explanation:
maybe you mad a mistake in the question please make sure this is the correct question :) thanks and have a nice day
in a single stratigraphic later, you find three coins, dated 1685, 1700, and 1705. there is a fourth coin that could be from any time between 1690 and 1710, but it is not definite. what is the tpq for the deposit?
In a single stratigraphic layer, you find three coins dated 1685, 1700, and 1705. There is a fourth coin that could be from any time between 1690 and 1710, but it is not definite. The TPQ (Terminus Post Quem) for the deposit refers to the latest possible date for the deposition of the layer.
To determine the TPQ, we need to find the latest coin in the deposit. In this case, the coin dated 1705 is the latest dated coin found in the layer. Therefore, the TPQ for the deposit is 1705.
The TPQ is important in stratigraphy as it provides a chronological constraint on when the deposit was formed. It helps archaeologists and geologists establish a relative timeline for the deposit and understand the sequence of events in the site's history.
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(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
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In ΔRST, m ∠S=20° and m ∠T=40°. Which lists the sides in order from greatest to least?
a. RS¯¯¯¯¯¯¯, ST¯¯¯¯¯¯¯, TR¯¯¯¯¯¯¯
b. ST¯¯¯¯¯¯¯, RS¯¯¯¯¯¯¯, TR¯¯¯¯¯¯¯
c. ST¯¯¯¯¯¯¯, TR¯¯¯¯¯¯¯, RS¯¯¯¯¯¯¯
d. RT¯¯¯¯¯¯¯, TS¯¯¯¯¯¯¯, SR¯¯¯¯¯¯¯
From greatest to least, the sides of the triangle are: b. ST, RS, TR.
What is the Relationship Between the Length of the Sides and the Size of the Angles of a Triangle?In a triangle, the side opposite the largest angle is the longest side and the side opposite the smallest angle is the shortest side. Also, the side opposite the middle-sized angle is the medium-length side.
Therefore:
m<S = 20°, and is opposite to side TR.
m<T = 40°, and is opposite to side RS.
m<R = 180 - 40 - 20 = 120°, and is opposite to side ST.
Therefore, the order from greatest to least is: b. ST, RS, TR.
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Convert the patient’s temperature to Fahrenheit. Be sure to show your calculations!
The temperature: 37.2℃
Step-by-step explanation:
°c to °F = (°c × 9/5) + 32
= ( 37.2 × 9/5) + 32
= 66.96 + 32
= 98.96 °F
if this helped pls give brainliest
(a) must it be true that log f(n) = ⇥(log g(n))? prove or disprove.
No, it is not required to be accurate. The growth rates of the two functions can vary.
It's not necessary for log f(n) to equal log g(n). Depending on the equation's constants and the inputs to the two functions, the growth rates of the two functions may differ. For instance, log f(n) = 2 log n and log
g(n) = 3 log n,
which are not equal, if
f(n) = n2 and g(n) = n3.
In this instance, log f(n) is equal to (log n) and log g(n) to (log n3), indicating that the two functions grow at various rates. Likely not equal are log f(n) and log g(n) if
f(n) = n and g(n) = n2,
respectively. Log f(n) is defined as (log n) and log Therefore, the statement "log f(n) = (log g(n)" is not necessarily true.
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Paige is choosing between 10 books at the library. What is the probability that she chooses 3 particular books to check out from the 10 initial books?
The probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
In this question,
Paige is choosing between 10 books at the library.
We need to find the probability that she chooses 3 particular books to check out from the 10 initial books.
The probability of choosing 1 book = 1/10
So, the probability of success (p) = 1/10
the probability of failure (q) = 9/10
Using Binomial probability distribution,
P(x = 3) = \(^{10}C_3\times (\frac{1}{10} )^3\times (\frac{9}{10} )^7\)
P(x = 3) = 120 × 0.001 × 0.4783
P(x = 3) = 0.0574
Therefore, the probability that she chooses 3 particular books to check out from the 10 initial books is 0.0574
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Find the simplified product
^3V9x^4 x ^3V3x^8
\(\sqrt[3]{9x^4}\cdot \sqrt[3]{3x^8}\implies \sqrt[3]{(9x^4)(3x^8)}\implies \sqrt[3]{27x^{4+8}}\implies \sqrt[3]{27x^{12}} \\\\\\ \sqrt[3]{3^3(x^4)^3}\implies 3x^4\)
Pick the correct word to complete the sentence. The equation y + 2 = -6 shows
addition or subtraction
It shows addition. But imma show the answer cuz I can ^v^.
y+2=-6
We want to cancel out the 2, cuz it on the wrong side.
y+2=-6
-2 -2
y=-8
that's as far as it goes
---
hope it helps
I NEEDDD HELPP ITS URGENTTT. !!
Answer:
use the information provided to write the standard form equation of the circle
1. ends of a diameter: (11,-6) and (1,14)
use the information provided to write the genral conic form equation of each circle.
1. three points of the circle:
( 7,-4)(-3,-4) and ( 6,-7)
identify the centere and radius. then sketch the graph
1. x^2+y^2-4x-14=0
Use the drop-down menus to complete each equation so the statement about its solution is true. I’ll give brainliest :))
Step-by-step explanation:
5 - 4 + 7x + 1 = 7x + 2.
If there are no solutions, then it is of the form 7x + c, where c is any real number besides 2.
If there is 1 solution, then it is of the form mx + c, where m is any real number besides 7 and c is any real number.
If there are infinitely many solutions, then it is of the form 7x + 2.
Find cosif sin = is in the third quadrant.035OA. -OB.OC. 20OD.Reset Selection-
ANSWER
\(A.\text{ }-\frac{4}{5}\)EXPLANATION
We want to find the value of cosθ for:
\(\sin\theta=-\frac{3}{5}\)We are given that θ is in the third quadrant. This implies that it is between 180° and 270°.
First, we have to find the value of θ:
\(\begin{gathered} θ=\sin^{-1}(-\frac{3}{5}) \\ \\ θ=-36.87\degree\text{ or }216.87\degree \end{gathered}\)Since θ is in the third quadrant, it implies that:
\(θ=216.87\degree\)Now, find the value of cosθ:
\(\cos(216.87)=-0.8=-\frac{4}{5}\)The answer is option A.