Answer:
6.7
Step-by-step explanation:
Here, we can apply cosine law, \(c^2=a^2+b^2-2abcos\theta\)
We the plug in values: \((CB)^2+6^2+5^2-2*6*5*cos74\)
and solve that CB is around 6.7
what does most specifically describe? a. a minor arc b. a major arc c. a semicircle d. a chord
The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices is d. chord.
The term "most specifically" is used to indicate the option that is the most specific or narrowest in meaning among the choices. Let's examine each option in the context of geometry:
a. A minor arc: A minor arc is a portion of a circle that measures less than 180 degrees. It is not the most specific term because it encompasses a range of arc sizes smaller than a semicircle, but it does not provide a narrower definition than other options.
b. A major arc: A major arc is a portion of a circle that measures more than 180 degrees. Similar to a minor arc, it does not provide the narrowest definition among the options.
c. A semicircle: A semicircle is a half of a circle, dividing it into two equal halves. This option is more specific than both minor and major arcs because it refers to a precise geometric shape with a 180-degree angle. However, there is one more option left to consider.
d. A chord: A chord is a straight line segment that connects two points on a circle. It is the most specific option among the choices because it refers to a specific geometric element—a line segment—within a circle.
So, The option that most specifically describes a geometric concept is:d. a chord.
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This afternoon Julia went for a walk to the library. Let t
represent the number of minutes since Julie left her dormitory.
What is the difference in the meaning of Delta t = 3 and t =3 ?
The difference between Delta t = 3 and t = 3 is that Delta t = 3 denotes a change in time by 3 minutes, while t = 3 represents a fixed time of 3 minutes since Julia left her dormitory.
The term "Delta t" denotes a change in time. It means the difference between two times or the time elapsed between two events.
For example, if the time difference between two events is 5 minutes, then Δt = 5.
On the other hand, "t" represents a fixed point in time. It does not represent any change in time.
For example, if Julia left her dormitory 10 minutes ago, then t = 10 represents the time elapsed since she left her dormitory.
In the given scenario, let t represent the number of minutes since Julia left her dormitory.
Therefore, t = 3 means that 3 minutes have passed since Julia left her dormitory.
Delta t = 3 means that the time elapsed between the two events is 3 minutes, but it does not give any information about the actual value of t.
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How do you solve an acute triangle using trigonometry?
An acute triangle is a triangle with all angles measuring less than 90°.
To solve an acute triangle using trigonometry, we need to know the length of at least one side and at least one angle of the triangle.
For example, let's assume the triangle has side lengths a = 6, b = 8, and we know the angle A = 30°.
First, we can use the Law of Cosines to calculate the length of the third side, c:
c² = a² + b² - 2abcos(A)
c² = 6² + 8² - 2(6)(8)cos(30°)
c² = 64 - 96cos(30°)
c² = 64 - 48
c² = 16
c = 4
Now we can calculate the other two angles, B and C, using the Law of Sines:
sin(B) = sin(A) * c/a
sin(B) = sin(30°) * 4/6
sin(B) = 0.5 * 2/3
sin(B) = 0.3333
B ≈ 19.47°
sin(C) = sin(A) * c/b
sin(C) = sin(30°) * 4/8
sin(C) = 0.5 * 0.5
sin(C) = 0.25
C ≈ 14.04°
Therefore, the three angles of the triangle are A = 30°, B = 19.47°, and C = 14.04°, and the three sides are a = 6, b = 8, and c = 4.
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At a clearance sale, Jolissa bought a jacket that was marked down 60%. The regular price of the jacket was $89. How much did she pay for the jacket?
Answer:
35.60
Step-by-step explanation:
Multiply the original price $89 times the mark down percentage 60%
You get 53.40, then subtract it from 89.
Answer:
She paid $35.60 for the jacket.
Step-by-step explanation:
The mean of Tom’s scores on 5 tests was 77.4%. The scores on his first four tests were 88, 77, 70, and 72. What was Tom’s score on his fifth test?
Answer:
88%
Step-by-step explanation:
First we multiply the mean by 5.
77.4 x 5 = 387
Then we add all of the test scores.
88 + 77 + 70 + 72 = 299
We subtract the total of the scores from 387, which we got from mulitplying the mean by 5.
387 - 299 = 88
Therefore, Tom's score on his fifth test was an 88%.
Hope this helps!
John enlarged one side of his square flower bed by 8 ft to make it into a rectangle. The area of the new flower bed is 3 times the old one
If the side of the square flower bed was enlarged by 8 feet and the area of the new flower bed was 3 times the area of the old one then the length of the side of the old flower bed was 4 feet.
Given that the side of square flower bed was enlarged by 8 feet and the area of the new flower bed was 4 feet.
We are required to find the length of the side of the old flower bed.
We know that the area of rectangle is equal to the product of length and breadth of that rectangle.
let x represents the side of the square old flower bed.
Dimensions of new rectangular flower bed:
Width=x
Length =x+8
Area=3*\(x^{2}\)
=3\(x^{2}\)
Thus:
x(x+8)=3\(x^{2}\)
\(x^{2}\)+8x=3\(x^{2}\)
2\(x^{2}\)=8x
2x=8
x=4
Hence if the side of the square flower bed was enlarged by 8 feet and the area of the new flower bed was 3 times the area of the old one then the length of the side of the old flower bed was 4 feet.
Question is incomplete as the next part of the question is as under:
Calculate the length of the side of the old flower bed?
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Sales tax in The land of the Burgeoning bureaucrats is 18 1/2% l. If burl buys a stereo system for $974, how much will he have to pay in sales tax
Burl will pay $180.19 in sales tax.
Given:
Sales tax in The land of the Burgeoning bureaucrats is 18 1/2%.
Burl buys a stereo system for $974.
pay in sales tax = burl buying cost * sales tax in Burgeoning bureaucrats / 100.
= 974 * 18 1/2 / 100
= 974 * 37/2 / 100
= 18019 / 100
= $180.19
Therefore burl will pay $180.19 in sales tax.
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The water level in a reservoir decreases by 2 m every day. Find the total decrease of water level, in m, after 3 days.
Answer:
6 m
Step-by-step explanation:
The total decrease in 3 days is ...
(3 days)×(2 m/day) = (3·2) m = 6 m
The decrease in water level after 3 days is 6 meters.
B. Average your scores with the participate's mean. C. Reevaluate data-taking methods. D. Nothing, it is perfectly fine to have different samples.
It's important to carefully consider the implications of having different samples and choose the most appropriate approach to minimize potential biases and ensure the reliability and validity of the results.
The options provided refer to different approaches to address the issue of having different samples. Let's go through each option:
B. Average your scores with the participant's mean: This option suggests averaging your scores with the mean of the participant's scores. By doing so, you would be incorporating the participant's individual scores into the overall average, potentially reducing the impact of the different samples. However, it's important to note that this approach assumes that the participant's mean is a representative measure of the entire population.
C. Reevaluate data-taking methods: This option suggests reevaluating the methods used to collect the data. If you suspect that the differences in samples are due to issues with the data-taking methods, it may be beneficial to review and potentially revise those methods. By improving the data collection process, you may be able to minimize discrepancies in samples and obtain more reliable results.
D. Nothing, it is perfectly fine to have different samples: This option implies that the differences in samples are not a concern and can be disregarded. While it is true that different samples can arise naturally in certain situations, such as in observational studies or when comparing different groups, it is essential to consider the implications of these differences. Different samples can introduce bias or affect the generalizability of the findings, so it's generally advisable to assess and address any discrepancies if possible.
In summary, the best option depends on the specific context and goals of the study. It's important to carefully consider the implications of having different samples and choose the most appropriate approach to minimize potential biases and ensure the reliability and validity of the results.
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Shandra practices the piano 392 minutes in 2 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 5 weeks?
The number of minutes that she practices in 5 weeks will be 980 minutes.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
Shandra rehearses the piano for 392 minutes in about fourteen days. Expecting she rehearses a similar sum consistently.
Let 'x' be the number of minutes that she practices in 5 weeks.
Then the number of minutes that she practices in 5 weeks will be given as,
x / 5 = 392 / 2
Simplify the equation, then we have
x / 5 = 392 / 2
x / 5 = 196
x = 980 minutes
The number of minutes that she practices in 5 weeks will be 980 minutes.
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Mrs mills buys 4 packs of treats for her cats, fluff and tigger. She gives fluff 1 6 of a pack each day. She gives tigger 1 5 of a pack each day. For how many complete days will the 4 packs of treats last?.
The number of complete days that 4 packs of treats will last, we need to determine the total number of packs each day and divide it into the total number of packs Mrs. Mills has bought.
Let's call the number of days the treats will last "d".
Then, the number of packs Fluff eats in "d" days is d * (1/6 of a pack per day) = (1/6)d.
Similarly, the number of packs Tigger eats in "d" days is d * (1/5 of a pack per day) = (1/5)d.
The total number of packs they eat in "d" days is (1/6)d + (1/5)d = (11/30)d.
Since Mrs. Mills has bought 4 packs, we have 4 = (11/30)d.
Finally, solving for "d", we have d = (30/11) * 4 = 120/11 days.
Since "d" must be a whole number, we round down to get 10 complete days that the 4 packs of treats will last.
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The total number of packs they eat in "d" days is (1/6)d + (1/5)d = (11/30)d.
Since Mrs. Mills has bought 4 packs, we have 4 = (11/30)d.
Finally, solving for "d", we have d = (30/11) * 4 = 120/11 days.
3. For this exercise, find the distance between the cities. Assume the earth is a sphere of radius 4,000mi and the cities are on the same meridian.
Answer:
Step-by-step explanation:
Length of an arc of a circle = rC where r = radius and r is the angle in radians
So, the answer is 4000(0.54+0.55)
= 3960 miles.
The area of a rectangle is 132.99 in2 and the length is 14.3 in. Find the width.
4.6 in.
12.9 in.
9.3 in.
18.7 in.
Answer:9.3
Step-by-step explanation:
Area= length times width
132.99= 14.3xw
Divide by 14.3
W= 9.3
add
9a+8b-a+b and 10a-9b+6a-1b
Answer:
8a + 9b and 16a - 10b
Step-by-step explanation:
Who all plays adopt me?
Answer:
me
Step-by-step explanation:
Answer:
what is that?
Step-by-step explanation:
y=2x^2-5x+3, what is the value of its y-intercept?
Answer:
y- intercept = 3
Step-by-step explanation:
To find the y- intercept, let x = 0 and evaluate for y
y = 2(0)² - 5(0) + 3 = 0 - 0 + 3 = 3
Anna's babysitter charges $4.50 per hour. anna doesn't want to pay any more than $27. which inequality represents the number of hours, h, anna can have a babysitter?
Solve the following system of equations.
Answer:
D
Step-by-step explanation:
y = x² - 4x - 5 → (1)
y = x - 9 → (2)
substitute y = x² - 4x - 5 into (2)
x² - 4x - 5 = x - 9 ( subtract x - 9 from both sides )
x² - 5x + 4 = 0 ← in standard form
(x - 1)(x - 4) = 0 ← in factored form
equate each factor to zero and solve for x
x - 1 = 0 ⇒ x = 1
x - 4 = 0 ⇒ x = 4
substitute these values into (2) for corresponding values of y
x = 1 : y = 1 - 9 = - 8 ⇒ (1, - 8 )
x = 4 : y = 4 - 9 = - 5 ⇒ (4, - 5 )
a 36 year old woman on chronic cyclosporine treatment for bilateral lung transplantation visits the emergency department complaining of extreme headache, nausea and vomiting. her exam is notable for bp 239/165, normal cardiac exam, bibasilar pulmonary rales, and 1 lower extremity edema. ekg showed asymmetric inverted t-waves in i, avl, and v4-6. in an effort to acutely control her blood pressure, which of the following is true?
The best treatment for this patient's acute blood pressure control is to administer an intravenous (IV) antihypertensive medication such as labetalol or nitroprusside. Additionally, it is important to assess for underlying causes of her elevated blood pressure such as infection, kidney disease, or heart failure.
What is blood pressure?
Blood pressure (BP) is indeed the force exerted by moving blood against blood vessel walls. The heart's action of trying to pump blood through the blood vessels is largely responsible for this pressure. The pressure in the major arteries is meant when the term "blood pressure" is used without qualification. Systolic pressure, or the highest pressure during one heartbeat, is typically expressed as the ratio of diastolic pressure, or the lowest pressure between two heartbeats, in blood pressure measurements. It is expressed as a millimetre of mercury (mmHg) just above atmospheric pressure in the immediate vicinity. Along with respiratory rate, pulse rate, oxygen levels, and body temperature, blood pressure is among the vital signs that medical professionals consider when assessing a patient's health.
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The U. S. Coast Guard surveyed a simple random sample of 300 small boats in the Cape Cod area found 120 in violation of one or more safety regulations. Construct and interpret a 99. 8% confidence for p, the proportion of all unsafe small boats
We are 99.8% confident that the true proportion of all unsafe small boats in the Cape Cod area lies between approximately 0.3161 and 0.4839.
To construct a confidence interval for the proportion of all unsafe small boats (p), we can use the formula for a confidence interval for a proportion:
Confidence interval = \(\hat{p}\) ± z * √((\(\hat{p}\) * (1 - \(\hat{p}\))) / n)
Where:
\(\hat{p}\) is the sample proportion of unsafe small boats (120/300 = 0.4)
z is the z-score corresponding to the desired confidence level (99.8% corresponds to a z-score of approximately 2.967)
n is the sample size (300)
Now we can plug in the values and calculate the confidence interval:
Confidence interval = 0.4 ± 2.967 * √((0.4 * (1 - 0.4)) / 300)
Simplifying the expression within the square root:
Confidence interval = 0.4 ± 2.967 * √(0.24 / 300)
Confidence interval = 0.4 ± 2.967 * √(0.0008)
Confidence interval = 0.4 ± 2.967 * 0.0283
Confidence interval = 0.4 ± 0.0839
Confidence interval ≈ (0.3161, 0.4839)
Interpretation:
We are 99.8% confident that the true proportion of all unsafe small boats in the Cape Cod area lies between approximately 0.3161 and 0.4839. This means that, based on the sample data, we can estimate with high confidence that the proportion of unsafe small boats in the Cape Cod area falls within this range.
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What is3/5written as a percent?
Answer:
60%
Step-by-step explanation:
5÷3=0.6
0.6×100=60
Turn it into a percent.
60%
Could I please have BRAINLIEST?
Answer:
60%
Step-by-step explanation:
Please help me asap please have a good day!!
Answer:
y=2/3x-7
Step-by-step explanation:
For lines to be parallel, they must have the same slope which is 2/3. However, they can't have the same y-intercept.
The bearing from the Pine Knob fire tower to the Colt Station fire tower is N 65° E, and the two towers are 40 kilometers apart. A fire spotted by rangers in each tower has a bearing of N 80° E from the Pine Knob and S 70° E from Colt Station (see figure). Find the distance of the fire from each tower. (Round your answers to two decimal places.)
Let:
x = Distance between the fire and the Pine Knob tower
y = Distance between the fire and the Colt station fire tower
We can find x and y using the law of sines:
\(\begin{gathered} \frac{40}{sin(30)}=\frac{x}{sin(135)} \\ so: \\ x=\frac{40\cdot sin(135)}{sin(30)} \\ x=40\sqrt{2} \\ x\approx56.57km \end{gathered}\)\(\begin{gathered} \frac{40}{sin(30)}=\frac{y}{sin(15)} \\ y=\frac{40\cdot sin(15)}{sin(30)} \\ y=20\sqrt{6}-20\sqrt{2} \\ y\approx20.71km \end{gathered}\)Convert 3500 meters into yards. Round your answer to the nearest whole number.
Answer:
yesss a 3500 = 5066
Step-by-step explanation:
this is my answer
Answer:
3828
Step-by-step explanation:
the exact no. is3827.6465
when you round it it will be 3828
consider the integral integral subscript 2 superscript 14 (2 x squared plus 4 x plus 2 )d x. (a) find the reimann sum for this integral using left endpoints and n equals 4. l subscript 4 equals (a) find the reimann sum for this integral using right endpoints and n equals 4. r subscript 4 equals
(a) the Riemann sum using left endpoints and n equals 4 is L₄ = 1620.
(b) the Riemann sum using right endpoints and n equals 4 is R₄ = 2916.
What is riemann sum?
A Riemann sum is a method used in calculus to approximate the area under a curve or the value of an integral. It involves dividing the region under the curve into smaller subintervals and approximating the area of each subinterval using a specific rule.
To find the Riemann sum using left endpoints and n equals 4, we need to divide the interval [2, 14] into four equal subintervals. The width of each subinterval, denoted as Δx, is calculated as (b - a) / n, where b is the upper limit (14) and a is the lower limit (2).
So, Δx = (14 - 2) / 4 = 12 / 4 = 3.
Now, we evaluate the function at the left endpoint of each subinterval and multiply it by the width (Δx).
The left endpoints for n = 4 are: x₀ = 2, x₁ = 5, x₂ = 8, x₃ = 11.
The Riemann sum using left endpoints is given by:
L₄ = f(x₀) Δx + f(x₁) Δx + f(x₂) Δx + f(x₃) Δx.
Now, let's substitute the given function f(x) = 2x² + 4x + 2 into the Riemann sum equation:
L₄ = (2x₀² + 4x₀ + 2) Δx + (2x₁² + 4x₁ + 2) Δx + (2x₂² + 4x₂ + 2) Δx + (2x₃² + 4x₃ + 2) Δx.
L₄ = (2(2)² + 4(2) + 2) (3) + (2(5)² + 4(5) + 2) (3) + (2(8)² + 4(8) + 2) (3) + (2(11)² + 4(11) + 2) (3).
L₄ = (8 + 8 + 2) (3) + (50 + 20 + 2) (3) + (128 + 32 + 2) (3) + (242 + 44 + 2) (3).
L₄ = (18)(3) + (72)(3) + (162)(3) + (288)(3).
L₄ = 54 + 216 + 486 + 864.
L₄ = 1620.
Therefore, the Riemann sum using left endpoints and n equals 4 is L₄ = 1620.
To find the Riemann sum using right endpoints and n equals 4, the process is similar. However, this time we evaluate the function at the right endpoint of each subinterval.
The right endpoints for n = 4 are: x₁ = 5, x₂ = 8, x₃ = 11, x₄ = 14.
The Riemann sum using right endpoints is given by:
R₄ = f(x₁) Δx + f(x₂) Δx + f(x₃) Δx + f(x₄) Δx.
Substituting the function into the Riemann sum equation:
R₄ = (2x₁² + 4x₁ + 2) Δx + (2x₂² + 4x₂ + 2) Δx + (2x₃² + 4x₃ + 2) Δx + (2x₄² + 4x₄ + 2) Δx.
R₄ = (2(5)² + 4(5) + 2) (3) + (2(8)² + 4(8) + 2) (3) + (2(11)² + 4(11) + 2) (3) + (2(14)² + 4(14) + 2) (3).
R₄ = (50 + 20 + 2) (3) + (128 + 32 + 2) (3) + (242 + 44 + 2) (3) + (392 + 56 + 2) (3).
R₄ = (72)(3) + (162)(3) + (288)(3) + (450)(3).
R₄ = 216 + 486 + 864 + 1350.
R₄ = 2916.
Therefore, the Riemann sum using right endpoints and n equals 4 is R₄ = 2916.
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suppose x is a random variable best described by a uniform probability distribution with and d. complete parts a through f.
To find the probability of an event occurring within a certain range in a uniform distribution, we can use the formula:
P(a <= x <= b) = (b - a) / (d - a)
Suppose x is a random variable best described by a uniform probability distribution with parameters a and d. Let's complete parts a through f:
a) The probability density function (pdf) of a uniform distribution is given by:
f(x) = 1/(d-a) for a <= x <= d
0 otherwise
b) The cumulative distribution function (cdf) of a uniform distribution is given by:
F(x) = 0 for x < a
(x-a)/(d-a) for a <= x <= d
1 for x > d
c) The mean of a uniform distribution is calculated as the average of the minimum (a) and maximum (d) values:
Mean = (a + d) / 2
d) The variance of a uniform distribution is calculated as:
Variance = (d - a)^2 / 12
e) The standard deviation of a uniform distribution is the square root of the variance:
Standard Deviation = sqrt((d - a)^2 / 12)
f) To find the probability of an event occurring within a certain range in a uniform distribution, we can use the formula:
P(a <= x <= b) = (b - a) / (d - a)
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If 32 units represents $2080, find the value of 6 units.
Answer: 390
Step-by-step explanation:
32 ÷ 6 = 5 1/3
2080 ÷ 5 1/3 = 390
Please help me with my homework!!!!
Answer:
see below
Step-by-step explanation:
-(5)² = -1 * 5² = -1 * 25 = -25
List ascending order:
-5.3 x 10² = -5.3 x 100 = -530
-50
\(\frac{1}{2} = 0.5\)
\(\sqrt{25} = 5\)
{-5.3 x 10², -50, \(\frac{1}{2}\), \(\sqrt{25}\)}
Describe \(\sqrt{8}\): Real, Irrational
List descending order:
\(\sqrt{72} = 8.485\)
6
\(\pi = 3.14159\)
\(-\frac{3}{4} = -0.75\)
{\(\sqrt{72}\), 6, \(\pi\), \(-\frac{3}{4}\) }
George loan:
Principal * rate * time = Interest
2000 * .034 * 2 = 136
Principal + Interest = Payback
2000 + 136 = $2,136
Toy:
100% - 15% = 85%
.85 * 4.99 = $4.24
What is the range of the function g(x) = |x – 12| – 2?.
The range of the given function is [-2,∞).
what is the range of a function?the range is the complete set of all possible values of the dependent variable say 'y'.
given function is: f(x)= |x – 12| – 2
f(x) = x-14 ∀ x≥12
f(x) = -x+10 ∀ x < 12
value of the above function at x=12 will be -2 means the minimum value of the function will be -2.
now, from the graph, we can see that f(x) is leading to infinity
so the range will be [-2,∞).
therefore, The range of the given function is [-2,∞).
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The range of the function is all real number of input value (y-value) grater than or equal to -2.
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function given in the problem is,
\(g(x) = |x - 12| - 2\)
Lets, compare the above function with the vertex form of the absolute function. The vertex form of the absolute function with vertex (h, k) can be given as,
\(y=a|x-h|+k\)
On comparing the vertex form with the given equation, we get,
\(h=12\\k=-2\)
Now, as the tange of a function is the set of all the possible output values which are valid for that function.
Here, the function does not take the value which are less than -2. Hence, the range of the function is all real number of input value (y-value) grater than or equal to -2.
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In a newspaper, it was reported that the number of yearly robberies in Springfield in 2012 was 90, and then went down by 50% in 2013. How many robberies were there in Springfield in 2013?
Answer: 45
Step-by-step explanation: