The figure's circumference, as seen in the diagram, is 60.84 m.
What are some instances of perimeters?
The perimeter of an object is the space surrounding it. For instance, your house has a fenced-in yard. The perimeter is the length of the fence. If the yard is 50 feet by 50 feet, your fence is 200 feet long.
The formula below is used to determine the figure's perimeter.
Formula:
Equation 1: P = 2L + W + W / Equation 1:
P = The figure's perimeter
L is the figure's length.
W is the figure's width.
Considering the query,
Given:
L = 15 m\sW = 12 m\sπ = 3.14
Replace the values in equation 1 with these ones.
P = (15×2)+12+(12×3.14/2)
P = 30+12+18.84
P = 60.84 m
As a result, the figure's perimeter is 60.84 meters.
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One equalion for finding the volume of a cylinder is V=Bh, where B represents the area of the base of the cylinder and h represents the height of the cylinder. Which expression could be used to find the volume of the cylinder in cubic meters ?
Answer:
we have
diameter {d}=6.8m
radius (r)=3.4m
height]h}=8.5
now
volume of cylinder=πr²h=π([6.8]/2)²×8.5=
π(3.4)²(8.5) is your answer
Step-by-step explanation:
Diameter of the cylinder=6.8m
Radius=Diameter/2=6.8/2=3.4
We know that\(\boxed{\sf Volume=\pi r^2h}\)
\(\\ \tt \mapsto \:Volume_{(Cylinder)}=\pi(3.4)^2\times 8.5 units^3\)
Hence option B is correctKyle is tossing bean bags at a target. So far, he has had 22 hits and 14 misses. What is the experimental probability that Kyle's next toss will be a hit?
The experimental probability that Kyle's next toss will be a hit is 11/18 or approximately 0.61.
The experimental probability of Kyle's next toss being a hit can be calculated by dividing the number of hits by the total number of tosses. In this case, the total number of tosses is the sum of hits and misses, which is 22 + 14 = 36. Therefore, the experimental probability of Kyle's next toss being a hit is 11/18 or approximately 0.61.
To find the experimental probability of Kyle's next toss being a hit, you need to consider the number of hits and total tosses so far.
Hits: 22
Misses: 14
Total tosses: 22 hits + 14 misses = 36 tosses
Now, calculate the experimental probability by dividing the number of hits by the total number of tosses:
Experimental probability = Hits / Total tosses = 22 / 36
Simplify the fraction:
Experimental probability = 11/18
So, the experimental probability that Kyle's next toss will be a hit is 11/18.
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Answer:
11/18
Step-by-step explanation:
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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Which of the following may fall under the category of collateral? Answer choices: a high salary, a credit card balance of $12,000, an antique vase valued at $125,000, or a previous loan that was repaid in full
The option B , that is , an antique vase valued at $125,000 can be categorized as collateral asset.
What is a collateral asset ?
An asset that a borrower pledges to a lender as a guarantee that the loan will be repaid is known as collateral asset.
We know that the assets that a lender accepts as security for a loan are referred to as collateral. That meant lenders are protected by the collateral in this way. To put it another way, if the borrower stops making loan payments, the lender may be able to sell the collateral to collect some or all of its losses.
So , let's check which of the given option falls under category of collateral.
A.
This is not collateral asset because for a credit card there is no security money given to bank. We only need to pay a maintenance charge and nothing else.
B.
This is a collateral asset.
For an antique vase whose value is $125000 , if the person has purchased this by taking a loan then he would have paid some security money as deposits. If any case he is not able to pay the loan by time the property or the asset becomes collateral which meant the lender may sell the asset to some or all of his losses.
C.
This is not collateral asset because if the loan is repaid in full there will be no extra charges liable on the asset and it can't be categorized as collateral.
Therefore , the option B , that is , an antique vase valued at $125,000 can be categorized as collateral asset.
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1. He is spending more money than he makes.
2. He has to cut back on other expenses.
3. It is a listing of what an individual owns minus what they owe.
4. an antique vase valued at $125,000
5. capital
Explanation: I took the same quick check and got 100%, hope this helps!
Please help find X on this
Step-by-step explanation:
11²+4²=X²121+16=X²137=X²X=\( x = \sqrt{137 \\ } \)Midyear on July 31st, the Digby Corporation's balance sheet reported: Total Liabilities of $25.862 million Cash of $2.010 million Total Assets of $43.091 million Total Common Stock of $1.270 million. What were the Digby Corporation's retained earnings?
Digby Corporation's retained earnings for the midyear on July 31st were $15.959 million.
What are the retained earnings?The retained earnings refer to the portion of the company's accumulated profits that have not been distributed to common stockholders.
We can compute the retained earnings are the difference between the total assets and total liabilities and common stock since common stock plus retained earnings are equal to stockholders' equity.
Digby Corporation
Balance SheetMidyear ended July 31st
Cash of $2.010 million
Total Assets = $43.091 million
Total Liabilities of $25.862 million
Total Common Stock of $1.270 million
Total liabilities and common stock = $27.132 million ($25.862 + $1.270)
Retained Earnings:Total Assets = $43.091 million
Less total liabilities and common stock $27.132 million
Retained earnings = $15.959 million ($43.091 - $27.132)
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A sleep specialist believes that the more caffeine a person consumes per day, the more episodes of restless sleep that person experiences. What are her null and alternative hypotheses
The null and alternative hypotheses in this case would be formulated as follows:
Null Hypothesis (H0): There is no relationship between caffeine consumption per day and episodes of restless sleep.
Alternative Hypothesis (HA): There is a positive relationship between caffeine consumption per day and episodes of restless sleep.
In other words:
H0: β (slope coefficient) = 0
HA: β (slope coefficient) > 0
The null hypothesis assumes that there is no association or correlation between caffeine consumption and episodes of restless sleep. The alternative hypothesis, on the other hand, suggests that there is a positive relationship, indicating that higher caffeine consumption is associated with a greater number of episodes of restless sleep.
These hypotheses would be tested using statistical methods, such as regression analysis, to determine if there is sufficient evidence to reject the null hypothesis in favor of the alternative hypothesis.
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A wire is bent into a circular coil of radius r=4.8 cm with 21 turns clockwise, then continues and is bent into a square coil (length 2r ) with 39 turns counterclockwise. A current of 11.8 mA is running through the coil, and a 0.350 T magnetic field is applied to the plane of the coil. (a) What is the magnitude of the magnetic dipole moment of the coil? A ⋅m
2
(b) What is the magnitude of the torque acting on the coil? N=m
The magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m². The magnitude of the torque acting on the coil is approximately 0.068 N·m.
(a) To find the magnitude of the magnetic dipole moment (M) of the coil, we can use the formula M = NIA, where N is the number of turns, I is the current flowing through the coil, and A is the area of the coil. For the circular coil, the area is given by A = πr², where r is the radius. Substituting the values N = 21, I = 11.8 mA = 0.0118 A, and r = 4.8 cm = 0.048 m, we can calculate the magnetic dipole moment as M = NIA = 21 * 0.0118 * π * (0.048)² ≈ 0.079 A·m².
(b) The torque acting on the coil can be calculated using the formula τ = M x B, where M is the magnetic dipole moment and B is the magnetic field strength. The magnitude of the torque is given by |τ| = M * B, where |τ| is the absolute value of the torque. Substituting the values M ≈ 0.079 A·m² and B = 0.350 T, we can calculate the magnitude of the torque as |τ| = M * B ≈ 0.079 A·m² * 0.350 T ≈ 0.068 N·m.
Therefore, the magnitude of the magnetic dipole moment of the coil is approximately 0.079 A·m², and the magnitude of the torque acting on the coil is approximately 0.068 N·m.
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A medical procedure cost $4500. If your insurance covers 7/8 of the cost, what amount of the procedure does the insurance cover?
If the medical procedure costs $4500 and the insurance covers 7/8 of the cost, then the amount of the procedure that the insurance covers can be calculated as:
Amount covered by insurance = (7/8) x ($4500)
We can simplify this expression by first finding the value of 7/8 as a decimal:
7/8 = 0.875
Substituting this value back into the expression, we get:
Amount covered by insurance = (0.875) x ($4500)
Simplifying this expression, we get:
Amount covered by insurance = $3,937.50
Therefore, the insurance covers $3,937.50 of the procedure cost.
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x^2+y^2-2x+6y=-3.What are the coordinates of the center and the length of the radius of the circle?
Given:
\(x^2+y^2-2x+6y=-3\)is given as the equation of circle.
Required:
The coordinates of the center and the length of the radius of the circle.
Explanation:
The general equation of circle is
\(x^2+y^2+2gx+2fy+c=o\)where
\(\begin{gathered} center=(-g,-f) \\ and \\ radius=\sqrt[]{g^2+f^2-c} \end{gathered}\)now by comparing the general and given equation we get
\(\begin{gathered} g=-1 \\ f=3 \\ c=3 \end{gathered}\)now substitute in the formulas
\(center=(-g,-f)=(1,-3)\)\(radius=\sqrt[]{g^2+f^2-c}=\sqrt[]{7}=2.65\)Final answer:
\(\begin{gathered} center=(1,-3) \\ and \\ radius=2.65 \end{gathered}\)
The attendance over a weekly period of time at a movie theater is normally distributed with a mean of 10,000 and a standard deviation of 1000 persons. Find the percent of attendance figures that differs from the mean by 1500 persons or more.
The percent of attendance figures that differs from the mean by 1500 persons or more is 6.68%.
From the question above, Mean μ = 10,000
Standard Deviation σ = 1,000
The formula for z-score is :
z = (x-μ) / σ
Where, x = observation
z = z-score
Mean μ = 10,000
Standard Deviation σ = 1,000
From the above formula, let's calculate z-score for x = 11,500
z = (x-μ) / σ
z = (11,500 - 10,000) / 1000
z = 1.5
Now, find the probability of attendance figures that differs from the mean by 1500 persons or more.
P(z ≥ 1.5) = 0.0668
To find the percentage, we need to multiply the above value by 100.
P(z ≥ 1.5) × 100 = 0.0668 × 100 = 6.68%
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The power rule for the logarithms states that logbMp = _____ The logarithm of a number with an exponent is the _______ of the exponent and the logarithm of that number.
The power rule for logarithms states that logb(M^p) = p * logb(M). The logarithm of a number with an exponent is the product of the exponent and the logarithm of that number.
The power rule states that logb(M^p) = p * logb(M), where M, b, and p are positive real numbers.
To understand this rule, let's consider an example. Suppose we have log2(8^2). According to the power rule, this is equivalent to 2 * log2(8).
In this case, M is 8, b is 2, and p is 2. The power rule tells us that we can bring the exponent (p) down and multiply it with the logarithm of the base (b) raised to the number (M).
So, log2(8^2) can be simplified as 2 * log2(8), which is 2 * 3 = 6.
In general, the power rule allows us to simplify logarithmic expressions by bringing the exponent down and multiplying it with the logarithm of the base.
This rule is particularly useful when dealing with complex logarithmic expressions and simplifying them to a more manageable form.
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67. There are 15 clarinet players, 12 flute
players, and 7 saxophone players in a
marching band. How many ways can the
band director create a trio consisting of
one clarinet player, one flute player, and
one saxophone player?
A. 34 ways
B. 187 ways
C. 1,260 ways
D. 1,500 ways
Answer:
A
Step-by-step explanation: add 15+12+7
if im write can i get a brainliest? plss:>
The band director can create a trio in 1,260 different ways.
Hence, option C is correct.
Use the concept of permutations,
The formula for permutations is,
⇒ \(^{n}P_{r}\) = n! / (n - r)!
Where n is the total number of items and r is the number of items we are selecting.
So in this case, we have,
⇒ n = 15 clarinet players
⇒ n = 12 flute players
⇒ n = 7 saxophone players
⇒ r = 1 clarinet player,
1 flute player, and 1 saxophone player
To find the number of ways we can create a trio with one player from each instrument, we need to calculate,
⇒ (\(^{15}P_{1}\)) x (\(^{12}P_{1}\)) x (\(^{7}P_{1}\))
⇒ (\(^{15}P_{1}\)) = 15! / (15 - 1)!
= 15! / 14!
= 15
This represents the number of ways we can choose one clarinet player out of 15.
(\(^{12}P_{1}\)) ) = 12! / (12 - 1)!
= 12! / 11!
= 12
This represents the number of ways we can choose one flute player out of 12.
\(^{7}P_{1}\) = 7! / (7 - 1)!
= 7! / 6!
= 7
This represents the number of ways we can choose one saxophone player out of 7.
So the total number of ways we can create a trio consisting of one clarinet player, one flute player, and one saxophone player is,
⇒ 15 x 12 x 7 = 1,260
Therefore,
The band director can create a trio in 1,260 different ways.
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-x^2+3x-8=0 can you solve this
Answer:
x = (-3 + sqrt(23)i) / 2 and x = (-3 - sqrt(23)i) / 2.
Step-by-step explanation:
To solve the quadratic equation -x^2 + 3x - 8 = 0, we can use the quadratic formula:
x = (-b ± sqrt(b^2 - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation.
In this case, a = -1, b = 3, and c = -8. Substituting into the quadratic formula, we get:
x = (-3 ± sqrt(3^2 - 4(-1)(-8))) / 2(-1)
Simplifying the expression inside the square root:
x = (-3 ± sqrt(9 - 32)) / (-2)
x = (-3 ± sqrt(-23)) / (-2)
Since the square root of a negative number is not a real number, the solutions to this quadratic equation are complex numbers. We can simplify the expression by writing the solutions in terms of the imaginary unit i:
x = (-3 ± sqrt(23)i) / 2
Therefore, the solutions to the quadratic equation -x^2 + 3x - 8 = 0 are x = (-3 + sqrt(23)i) / 2 and x = (-3 - sqrt(23)i) / 2.
an old motorcycle bought for ₹15000 depreciates in value by 10% each year . find its value after 3 years.
The value of the motorcycle after 3 years will be ₹10935.
To find the value after 1 year, we need to subtract 10% of the initial value from the initial value:
Value after 1 year = ₹15000 - 0.1 x ₹15000 = ₹13500
To find the value after 2 years, we need to apply another 10% depreciation on the value after 1 year:
Value after 2 years = ₹13500 - 0.1 x ₹13500 = ₹12150
To find the value after 3 years, we need to apply another 10% depreciation on the value after 2 years:
Value after 3 years = ₹12150 - 0.1 x ₹12150 = ₹10935
Therefore, the value of the motorcycle after 3 years is ₹10935.
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sarah is playing a game in which she rolls a number cube 20 times the results are recorded in the chart below. what is the experimental probability of rolling a 1 or a 2? answers 0.3, 0.45, 0.65, 1.25.
The experimental probability of rolling a 1 or a 2 is 0.2.
Hence, Option A is correct.
We know that,
The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.
In this case,
The event is rolling a 1 or a 3,
Which occurred ⇒ 3 + 1
= 4 times.
Given that there are total number of trials = 20.
Therefore,
The experimental probability of rolling a 1 or a 3 = 4/20,
= 1/5
= 0.2
Hence, the required probability is 0.2.
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The complete question is:
Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?
Number on cube:1,2,3,4,5,6
Number of times event occurs:3,6,1,5,3,2
A.0.2
B.0.3
C.0.6
D.0.83
What two nonnegative real numbers with a sum of 64 have the largest possible product?
The two non negative real numbers with a sum of 64 that have the largest possible product are; 32 and 32.
How do we solve the nonnegative real numbers?Let the two numbers be x and y.
Thus, if their sum is 64, then we have;
x + y = 64
y = 64 - x
Their product will be;
P = xy
Putting (64 - x) for y in the product equation we have;
P = (64 - x)x
P = 64x - x²
Since the product is maximum, let us find the derivative;
P'(x) = 64 - 2x
At P'(x) = 0, we have;
64 - 2x = 0
2x = 64
x = 64/2
x = 32
Thus; y = 64 - 32
y = 32
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first, rewrite 1/10 and 3/25 so they have a common denominator
Answer:
Below,...
Step-by-step explanation:
1/10 = 25/250
3/25 = 30/250
25/250 and 30/250
You said FIRST,... is there a second? if not don't worry 'it,... I's just wondering!
Thanks,... Chow,...!
What is the equation of the line that passes through the point (1,3) and has a slope of -3
Answer:
y=-3x+6
Step-by-step explanation:
In the equation for a line y=mx+b, m is the slope, so you can get y=-3x+b.
You are given (1,3), so you can plug in 1 for x and 3 for y. You should get 3=-3(1)+b, so b=6. Plugging in b to y=-3x+b, you should get y=-3x+6.
how do i find the equation of the line
Answer: look at explanation <3
Step-by-step explanation:
Steps to find the equation of a line from two points:
Find the slope using the slope formula
Use the slope and one of the points to solve for the y-intercept (b).
One of your points can replace the x and y, and the slope you just calculated replaces the m of your equation y = mx + b. Then b is the only variable left. Use the tools you know for solving for a variable to solve for b.
Once you know the value for m and the value for b, you can plug these into the slope-intercept form of a line (y = mx + b) to get the equation for the line.
6. A trader sold 100 boxes of fruit at
GH¢8. 00 per box, 800 boxes at GH¢6. 00
per box and 600 boxes at GH¢4. 00 per
box. Find the average selling price per
box.
A trader sold 100 boxes of fruit at GH¢8. 00 per box, 800 boxes at GH¢6. 00 per box and 600 boxes at GH¢4. 00 per box, the average selling price per box is GH₵ 5.33.
Average selling price per box = (Total sales revenue) / (Total boxes sold)
There are 3 different types of fruit boxes sold. So, we need to find the total revenue from each type of fruit box sold and add them together. Similarly, we need to find the total boxes sold of all the types of fruit boxes sold and add them together. Lastly, divide the total revenue by the total boxes sold to find the average selling price per box.
1. For 100 boxes sold at GH₵ 8.00 per box, the total sales revenue is:
GH₵ 8.00 × 100 = GH₵ 8002.
For 800 boxes sold at GH₵ 6.00 per box, the total sales revenue is
GH₵ 6.00 × 800 = GH₵ 4,8003.
For 600 boxes sold at GH₵ 4.00 per box, the total sales revenue is
GH₵ 4.00 × 600 = GH₵ 2,400
Total sales revenue from all types of fruit boxes sold = GH₵ 800 + GH₵ 4,800 + GH₵ 2,400= GH₵ 8,000
Total boxes sold from all types of fruit boxes sold = 100 + 800 + 600= 1,500
Average selling price per box = (Total sales revenue) / (Total boxes sold)= GH₵ 8,000 / 1,500= GH₵ 5.33.
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Determine weather (4x + 3) is a factor of (4x^2 - 5x - 6)
A. (4x+3) (x-2) = 4x^2-5x-6
B. (4x+3) (x+1) = 4x^2-5x-6
C. (4x+3) (x-1) = 4x^2-5x-6
D. (4x+3) (x-2) = 4x^2-5x-6
Answer: A. (4x+3) (x-2) = 4x^2-5x-6
Step-by-step explanation:
Based on the given information and figure, what can you conclude, and why?*
(5 Points)
Given: ZP ZT, PRERT
S
Р
T
Triangle PQR congruent to Triangle SRT by ASA
Triangle PQR congruent to Triangle TSR by ASA
Triangle PQR congruent to Triangle TSR by SAS
Triangle PQR congruent to Triangle TSR by AAS
Answer:
Triangle PQR congruent to Triangle TSR by SAS
Step-by-step explanation:
Hope this helps
Help!!! I give CROWN T-T
Answer:
120, remember the angles have to add up to 180
Step-by-step explanation:
Answer:
60 because 30+30=60 and a triangle is 180° so 180-60= 120 and it's a line so 180-120=60 ifykyk
What is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result?.
Distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.
What is distributive property?Firstly, to distribute means to divide something or give a share or part of something.
Distributive property explains that multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.
Therefore, distributive property is the term for breaking a larger number apart into smaller numbers that can be multiplied together to get a specific result.
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What is the y-intercept of the line perpendicular to the line y = 3x + 3 that includes the point (3, 1)?
Given:
The line perpendicular to the line y = 3x + 3 includes the point (3, 1).
Required:
We need to find the line equation.
Explanation:
The given line y =3x+3 is of the form.
\(y=m_1x+b\)\(where\text{ slope,}m_1=3\text{ and b=3.}\)The slope of the line is a negative reciprocal of the perpendicular to the line.
\(m=negative\text{ reciprocal of }m_1\)\(m=-\frac{1}{3}\)Consider the line equation.
\(y=mx+b\)Substitute m=-1/3 in the equation.
\(y=-\frac{1}{3}x+b\)Substitute x =3 and y =1 in the equation to find the value of b.
\(1=-\frac{1}{3}(3)+b\)\(1=-1+b\)Add 1 to both sides of the equation.
\(1+1=-1+b+1\)\(2=b\)We know that b is the y-intercept.
Final answer:
The y-intercept of the line perpendicular to the line y = 3x + 3 includes the point (3, 1) is 2.
write an equation of the line passing through the points (3,7) and (-2,-18)
Step-by-step explanation:
The solution is step by step..
Check it out
helpppppppppp 85 points
Area of vertical rectangle
LB16(4)64cm²Area of horizontal rectangle
6(11-4)6(7)42cm²Total:-
42+64106cm²what is the quotient of the expression
\( \frac{21a {}^{3} b - 14ab {}^{2} + 7ab}{7ab} \)
How much is 45 cm to inches?
Answer:
17.7165
Step-by-step explanation: