The angles of the cyclic quadrilateral are
84 degrees96 degrees98 degrees80 degreesHow to find the measure of the anglesIn a cyclic quadrilateral the opposite angles are supplementary hence we have that
x - 4 + x + 8 = 180 degrees
gathering like terms
2x = 180 - 8 + 4
2x = 176
isolating x
x = 88 degrees
angles on each side
x- 4 = 88 - 4 = 84
x + 8 = 88 + 8 = 96
2x - 78 = 2(88) - 78 = 98
sum of the angles of a cyclic quadrilateral is 360
the fourth angle = 360 - 84 - 96 - 98
the fourth angle = 80 degrees
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Consider the graph shown below. The maximum y-value of this function is.
The maximum value of the given graph is 10.
What is the maximum value?
The highest and smallest value of a function, either inside a certain range or on the entire domain, is its maximum and minimum, sometimes referred to as its extremum. The vertex in a graph where a function achieves its highest point or maximum value is known as the vertex.
Here, we have
Given the graph and we have to find the maximum value of y.
Here we concluded that the value of y is 10 which is the maximum value.
Hence, the maximum value of y is 10.
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A construction worker needs to put a rectangular window in the side of a
building. He knows from measuring that the top and bottom of the window
have a width of 8 feet and the sides have a length of 15 feet. He also
measured one diagonal to be 17 feet. What is the length of the other
diagonal?
OA. 23 feet
OB. 15 feet
O C. 17 feet
OD. 8 feet
Answer:The length of the other diagonal is: C. 15 feet.
Step-by-step explanation:
which of the following points is on the unit circle
The required answer is the all of the given points (A, B, C, and D) are on the unit circle.
The unit circle is a circle with a radius of 1 unit centered at the origin of a coordinate plane. Points on the unit circle can be represented by their coordinates (x, y), where x is the cosine of the angle and y is the sine of the angle.
To determine which of the following points is on the unit circle, we need to check if the coordinates satisfy the equation x^2 + y^2 = 1. If the coordinates satisfy this equation, then the point is on the unit circle.
consider the points given and check if they are on the unit circle:
- Point A: (1, 0)
- Point B: (0, -1)
- Point C: (-√2/2, √2/2)
- Point D: (0, 1)
Checking each point:
- Point A: (1, 0)
- 1^2 + 0^2 = 1 + 0 = 1
- The coordinates satisfy the equation, so point A is on the unit circle.
- Point B: (0, -1)
- 0^2 + (-1)^2 = 0 + 1 = 1
- The coordinates satisfy the equation, so point B is on the unit circle.
- Point C: (-√2/2, √2/2)
- (-√2/2)^2 + (√2/2)^2 = 2/4 + 2/4 = 4/4 = 1
- The coordinates satisfy the equation, so point C is on the unit circle.
- Point D: (0, 1)
- 0^2 + 1^2 = 0 + 1 = 1
- The coordinates satisfy the equation, so point D is on the unit circle.
In conclusion, all of the given points (A, B, C, and D) are on the unit circle because their coordinates satisfy the equation x^2 + y^2 = 1.
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solve
3x-11x-20=0.
.
Answer: x=-5/2
Step-by-step explanation:
1.add similar elements
-8x-20=0
2.add 20 to both sides
-8x-20+20=0+20
3.simplify
-8x=20
4. divide both sides by -8
-8x/-8 = 20/-8
5.simplify
x=-5/2
I need help asap leaving for flight in 2 hours PLZ HELP
Answer:
11$ for 10 is better it cost 1.1 per and 4 for 3$ cost 1.33333 (have a nice flight and I would like that brainliest if that's ok) :>
for her final​ project, stacy plans on surveying a random sample of students on whether they plan to go to florida for spring break. from past​ years, she guesses that about ​% of the class goes. is it reasonable for her to use a normal model for the sampling distribution of the sample​ proportion? why or why​ not?
It is reasonable for Stacy to use a normal model for the sampling distribution of the sample proportion. This is because, according to the Central Limit Theorem,
when the sample size is large enough (typically considered to be at least 30), the sampling distribution of the sample proportion will be approximately normal, regardless of the shape of the population distribution.
In Stacy's case, she plans on surveying a random sample of students, which implies that she will have a sufficiently large sample size. Therefore, the conditions for using a normal model are satisfied.
In conclusion, Stacy can use a normal model for the sampling distribution of the sample proportion in her survey for the final project.
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Find y as a function of u if /" - 114" + 24y = 0, y(0) = 3, 7(0) = 3, 7(0) = 6.
To solve for y as a function of u, we can use the equation: /" - 114" + 24y = 0.
First, we need to isolate y on one side of the equation. Adding 114 to both sides, we get:
24y = 114 - /"
Then, dividing both sides by 24, we get:
y = (114 - /") / 24
Now, we need to use the initial conditions to find the value of y at u = 0. We have:
y(0) = 3
7(0) = 3
7'(0) = 6
Substituting u = 0 into our equation for y, we get:
y(0) = (114 - /") / 24 = 3
Solving for /", we get:
114 - /" = 72
/" = 42
So our equation for y becomes:
y = (42 / 24)u + 3
Simplifying, we get:
y = (7 / 4)u + 3
Therefore, y is a function of u given by y = (7 / 4)u + 3, with initial conditions y(0) = 3, 7(0) = 3, and 7'(0) = 6.
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1. For each of the following, state what the sample space is.(a) You select 1 card from a 52 card deck and observe the suit of the card.
(b) How many days a week you go to the gym.
(c) What size drink someone orders from Starbucks (short, tall, grande, venti, trenta).
(d) The sum of the roll of 2 dice
The sample space for each scenario is a) {hearts, diamonds, clubs, spades}, b) {0, 1, 2, 3, 4, 5, 6, 7}, c) {short, tall, grande, venti, trenta}, and d) {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}.
Sample space refers to the set of all possible outcomes for a given experiment or event. In each of the cases below, the sample space is stated.
a) When selecting 1 card from a 52-card deck and observing the suit, the sample space consists of 4 outcomes: {hearts, diamonds, clubs, spades}. This is determined by the fact that there are 4 suits in a standard deck of cards.
b) For the number of days per week you go to the gym, the sample space ranges from 0 to 7 days: {0, 1, 2, 3, 4, 5, 6, 7}. This is determined by the fact that there are 7 days in a week and you can choose to go to the gym anywhere between 0 and 7 days.
c) When considering what size drink someone orders from Starbucks, the sample space consists of 5 outcomes: {short, tall, grande, venti, trenta}. These are the 5 standard sizes available at Starbucks.
d) For the sum of the roll of 2 dice, the sample space ranges from 2 to 12: {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12}. This is determined by considering the minimum possible sum (rolling a 1 on both dice) and the maximum possible sum (rolling a 6 on both dice), and all the sums in between.
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the measure of angle b is one-half the measure of its complement. What is the measure of b
Answer:
b = 30 degrees.
Step-by-step explanation:
Two angles are said to be complement of each other if their sum is 90 degrees
________________________
given
one angle is b
let other angle be x
given that angle b is one-half the measure of its complement
thus, mathematically we can the above statement as
b = 1/2(x)
now sum of both the angle will be 90 degrees as they are complementary
b + x = 90
using b = 1/2(x)
=> 1/2(x) + x = 90
=> x/2 + x = 90
=> (x +2x)/2 = 90
=> 3x = 180
=> x = 180/3 = 60
thus,
b = 1/2(x) = 1/2(60) = 30
thus, measure of angle b is 30 degrees.
A container has 17 ½ cups of lemonade. Emma gives each of her classmates ⅚ of a cup of lemonade. She gives away all of the lemonade. How many classmates does she give lemonade to? _________________Hint: make the mixed fraction MAD then KCF
Answer:
There are 17.5 cups of lemonade.
Each classmate receives 5/6 of a cup.
So the number of classmates = Number of cups ÷ proportion of a cup each student receives
Number of classmates = 17.5 ÷ 5/6 = 21 classmates
There are 21 classmates.
Step-by-step explanation:
∠A and ∠ � ∠B are vertical angles. If m ∠ � = ( 4 � + 13 ) ∘ ∠A=(4x+13) ∘ and m ∠ � = ( 7 � + 4 ) ∘ ∠B=(7x+4) ∘ , then find the value of x
We can use algebra to solve this problems as the angles are algebraic expressions. First we have to calculate the value of x and then substitute to get ∠A and ∠B. Here value of x is 3.
Here two vertical angles are given. Vertical angles are the opposite angles formed when two lines intersect. So the angles will be equal.
So ∠A = ∠B
Here ∠A = 4x+3
∠B = 7x+4
∠A = ∠B
So, 4x+3 = 7x+4
Here they are two algebraic equations and the value of x can be calculated.
4x+ 13 = 7x+ 4
13 - 4 = 7x - 4x
9 = 3x
x = 9/3 = 3
So ∠ A = 4x+13 = 4× 3 + 13 = 12 + 13 = 25°
∠B = 7x+ 4 = 7×3 + 4 = 25°
So the vertical angles A and B are equal and will be 25° and value of x = 3.
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The complete question is given below.
∠A and ∠B are vertical angles. If ∠A = (4x+13)° and ∠B = (7x+4)°, then
a) Find the value of x
b) Find the angles ∠A and ∠B.
How to find the SA of a regular pyramid
Shelby made equal deposits at the beginning of every 3 months into an RRSP. At the end of 9 years, the fund had an accumulated value of $55,000. If the RRSP was earning 3.50\% compounded monthly, what was the size of the quarterly deposits? Round to the nearest cent
The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.
Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).
Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:
\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]
Simplifying the equation and solving for \(D\), we find:
\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]
Substituting the values into the formula, we get:
\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]
Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.
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what is the substance of 0.03 in scientific notation
Answer:
3x10 to the power of -2
Step-by-step explanation:
0.03=3x0.01
0.01=10 to the power of -2
What is the slope of the line passing through the points (−3, 4) and (2, −1)?
PLEASE HELP ASAP!!!!
Slope:
M = -1
Slope intercept-form:
y = -x + 1
(5m-4)/6 -1 = 4m - (3m+10)/2
pls answer fast
Answer:
m = 2Step-by-step explanation:
\( \frac{(5m - 4)}{6} - 1 = 4m - \frac{(3m + 10)}{2} \)
\( = > \frac{5m - 4 - 6}{6} = \frac{8m - 3m - 10}{2} \)
\( = > \frac{5m - 10}{6} = \frac{5m - 10}{2} \)
[Cross Multiplication]
=> 2(5m - 10) = 6(5m - 10)
=> 10m - 20 = 30m - 60
=> 60 - 20 = 30m - 10m
=> 40 = 20m
\( = > m = \frac{40}{20} \)
=> m = 2 (Ans)
15. ___________ is a statistic that refers to the proportion of observed variance in a group of individuals that can be accounted for by genetic variance
Heritability is a statistic that quantifies the proportion of observed variance in a group of individuals that can be attributed to genetic variance.
Heritability is a fundamental concept in genetics and behavioral sciences that helps understand the extent to which genetic factors contribute to observed variations in a particular trait within a population. It measures the proportion of phenotypic variation (differences in traits) that can be explained by genetic variation. Heritability estimates range from 0 to 1, where a value of 0 indicates that all observed variation is due to environmental factors, and a value of 1 suggests that all observed variation is due to genetic factors.
To calculate heritability, researchers typically study populations with varying degrees of genetic relatedness, such as twins or family members. By comparing the similarity of traits between individuals with known genetic relatedness, it is possible to estimate the contribution of genetic factors to the observed variance. Environmental factors that contribute to phenotypic variation are considered as part of the non-genetic or "environmental" component.
It is important to note that heritability estimates are population-specific and apply only to the particular group being studied. Additionally, heritability does not provide information about specific genes or the precise mechanisms by which genetic factors influence traits. Nonetheless, heritability serves as a valuable tool in understanding the relative importance of genetic and environmental factors in shaping individual differences within a population.
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Which of the following is a common characteristic of a binomial distribution?
A. There are more than two possible outcomes.
B. The probability of success is not the same in all trials.
C. There are infinitely many observations.
D. You should perform x trials until you observe a success.
E. Each trial is independent.
Answer:
E. Each trial is independent
Step-by-step explanation:
I'm not completely sure why all binomial distribution trials are independent, but there are requirements for binomial distributions.
These requirements are:
- Each outcome is either a success (p) or a failure (Q)
- All trials are independent
- There are a fixed number of "n" trials
- The probability of success (p) is the same for each trial
I also just took the test and got this right.
Barbara sells iced tea for $1.49 per bottle and water for $1.25 per bottle. She wrote an equation to find the number of bottles she needs to sell to earn $100.
Answer:
the answer is b (Barbara's equation did not consider the number of bottles of iced tea.)
Step-by-step explanation:
its math i did years ago its like simple math for me. trust me i know its right
at a football game 8 out of every 20 spectators are girls there were a total of 1560 at the game how many were girls
pls help! this is due soon.thanks :)
Answer:
D. Katie has 175 more guitar picks than Lawrence
Step-by-step explanation:
Katie has 256 picks
Lawrence has 81 picks
Please Help!!
What should be done 10x ^ 2 - 8x to create a perfect square ?
Answer: 10x^2-8x+16
Step-by-step explanation:
Use the formula (b/2)^2
then plug in values:
(-8/2)^2 = -4^2 = 16
ans: 10x^2-8x+16
hope this helps
a microorganism measures 5 μm in length. its length in mm would be
The length of the microorganism that measure 5μm is equivalent to 0.005 mm
What is unit conversion?It is the transformation of a value expressed in one unit of measurement into an equivalent value expressed in another unit of measurement of the same nature.
To solve this problem the we have to convert the units with the given information.
1mm is equal to 1000 μm
5μm * (1 mm/1000μm) = (5*1) / 1000 = 5/1000 = 0.005 mm = 5x10^-3 mm
The length of the microorganism that measure 5μm is equivalent to 0.005 mm
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Differentiate the function. F(t) = (In(t))² cos(t) 6x5 F'(t) = In (10) (x6+7) Need Help? Read It DETAILS Differentiate the function. h(x) = h'(x) = 6. [0/1 Points] X ²-0 Watch It PREVIOUS ANSWERS in(x + √x² - 6) SCALCET9 3.XP.6.
The derivative function is h(x) is given by h'(x) = (1 + x/(√(x² - 6)))/(x + √(x² - 6)).
To differentiate the function h(x) = ln(x + √(x² - 6)), use the chain rule by identifying the inner function u(x) = x + √(x² - 6). The derivative of this inner function found using the sum and chain rules
u'(x) = 1 + (1/2)×(2x)/(√(x² - 6))
= 1 + x/(√(x² - 6))
differentiate the outer function f(u) = ln(u) with respect to u:
f'(u) = 1/u
find the derivative of h(x) = ln(x + √(x² - 6))
h'(x) = f'(u) ×u'(x)
= (1/u) ×(1 + x/(√(x² - 6)))
Substituting the value of u = x + √(x² - 6),
h'(x) = (1/(x + √(x² - 6))) × (1 + x/(√(x² - 6)))
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In Spring 2017, data was collected from a random selection of STA 2023 students. One of the questions asked how many hours they had exercised in the past 24 hours.For the 39 randomly selected upperclassmen, the sample mean was 0.76 and sample standard deviation was 0.75.For the 35 randomly selected underclassmen, the sample mean was 0.60 and the sample standard deviation was 0.73.What is the point estimate of the difference in the population mean exercised between underclassmen and upperclassmen?
The point estimate of the difference in the population mean exercised between underclassmen and upperclassmen is 0.16 hours.
In this case, we are estimating the difference in population means between two groups - upperclassmen and underclassmen. The point estimate is calculated by subtracting the sample mean of the underclassmen from the sample mean of the upperclassmen, which gives us
0.76 - 0.60 = 0.16.
the point estimate of the difference in population mean exercised between underclassmen and upperclassmen is 0.16 hours, which was calculated by subtracting the sample mean of underclassmen from the sample mean of upperclassmen.
Point Estimate = (Sample Mean of Upperclassmen) - (Sample Mean of Underclassmen)
Point Estimate = (0.76) - (0.60)
Point Estimate = 0.16
Hence, the point estimate of 0.16 suggests that, on average, upperclassmen exercised 0.16 hours more than underclassmen in the past 24 hours. This is a rough estimate of the difference between the two population means based on the provided sample data.
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Using the CPT manual, code the following: Five MeV of radiation treatment delivery to a single area for primary breast cancer, right female breast
According to the CPT manual, the appropriate code for the treatment for primary breast cancer, would be 77427.
In medical coding, it is important to assign the correct CPT code to accurately describe the provided medical service. For the described scenario of delivering five MeV of radiation treatment to a single area for primary breast cancer, the appropriate code is 77427. This code specifically represents the radiation treatment delivery for breast cancer.
The CPT manual is a widely used resource that provides a comprehensive list of medical procedures and services, each assigned a specific code. These codes help healthcare providers communicate and document the services rendered to patients, as well as facilitate accurate billing and reimbursement. The codes in the CPT manual are regularly updated to reflect advancements in medical technology and practices.
By referencing the CPT manual, healthcare professionals can ensure that the services they provide are accurately coded, allowing for consistent and standardized communication across the healthcare industry. This helps in maintaining proper documentation, tracking patient care, and facilitating efficient billing processes.
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The CPT manual provides specific codes for radiation treatment delivery, including those for breast cancer. The appropriate code for the given treatment would depend on the specific technique used and can be found in the CPT manual.
In order to code the radiation treatment delivery for primary breast cancer, right female breast, we need to refer to the CPT manual. The CPT manual provides specific codes for different types of radiation treatment delivery. In this case, the treatment involves the delivery of Five MeV of radiation to a single area.
Based on the information provided, the appropriate CPT code for this treatment would be determined by the specific technique used for radiation delivery. The CPT manual provides codes for different techniques, such as external beam radiation therapy (EBRT) and brachytherapy.
Since the question does not specify the technique, we cannot provide a specific CPT code. However, a healthcare professional would consult the CPT manual and select the appropriate code based on the specific details of the treatment.
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Colleen is touring an automobile plant. The tour guide tells her that they use 938 kg of aluminum to make 7 cars. All of the cars are the same so they use the same amount of aluminum for each car. If they have only used 100 kg of aluminum on the car they are building right now, how much more aluminum do they need to finish the car?
Answer:
34 kg
Step-by-step explanation:
(938/7) = 134 kg per car, so since they only have 100 kg, 34 kg are missing to complete the car.
PLEASE HELP I NEED THIS DONE ASAP!
Answer:
10/20 or 1/2
Step-by-step explanation:
There are 10 pink balls out of 20. (add all the numbers together)
So that means there is a 10/20 chance to get a pink ball.
Answer:
\(\frac{1}{2}\)
Step-by-step explanation:
So, the probability is the number of favored outcomes/ number of possible outcomes.
In this case, the favored outcomes is pink, which is 10.
The number of possible outcomes is 2+1+10+2+5 = 20
This gives us 10/20, which is 1/2 when simplified
Find the product of 3.2 x 1012 and 4.25 x 109. write the final answer in scientific notation. 1.36 x 1021 13.6 x 1021 1.36 x 1022 13.6 x 1022
The product of two given numbers in terms of scientific notations is 1.36 × 10^(22).
What are scientific notations?
Scientific notations are a way of representing either a very small or a very large number in the powers of 10. Scientific notations comprise digits from 1 to 9 with powers of 10.
Calculation of the product of two numbers
Given two numbers are 3.2 × 10^(12) and 4.25 × 10^(9)
Multiplying two numbers, we get
= 3.2 × 10^(12) × 4.25 × 10^(9)
= 13.6 × 10^(21)
= 1.36 × 10^(22)
Hence, the product of two numbers in terms of scientific notations is 1.36 × 10^(22).
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A hollow post is made out of a lightweight aluminum alloy that is 1.5 cm thick. The alloy is folded into the shape of a right rectangular prism measuring 9 cm by 9 cm by 28 cm. Find the total volume of alloy in the post. Round your answer to the nearest hundredth if necessary.
The total volume of alloy in the post is about 900 cm³
What is a volume?
Volume is the amount of space occupied by a three dimensional shape or object.
Volume = length * width * height
The right rectangular prism measuring 9 cm by 9 cm by 28 cm. The alloy is 1.5 cm thick.
Length = 9 - 1.5 - 1.5 = 6 cm, width = 9 - 1.5 - 1.5 = 6 cm, height = 28 - 1.5 - 1.5 = 25 cm. Hence:
Volume = 6 * 6 * 25 = 900 cm³
The total volume of alloy in the post is about 900 cm³
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Answer:
1837.5
Step-by-step explanation:
I jut did it