Answer:
∠ BAF = 140°
Step-by-step explanation:
Since BD is a tangent to the circle at point B , then
∠ ABD = 90°
The exterior angle of a circle is equal to the sum of the 2 opposite interior angles.
∠ BAF is an exterior angle, thus
∠ BAF = ∠ ABD + ∠ BDA = 90° + 50° = 140°
A store sells a package of 25 trading hearts for $5.25 use pencil and paper explain how you can tell that the unit price per card is less than $1 what is the unit price per card.
Answer:
Unitary cost per card= $0.21
Step-by-step explanation:
Giving the following information:
Number of cards per packecge= 25
Total cost per package= $5.25
To calculate the unitary cost of each card, we need to use the following formula:
Unitary cost per card= total cost / number of cards per package
Unitary cost per card= 5.25 / 25
Unitary cost per card= $0.21
Solve the equation.
10n-100=6n
what is n
In the figure below, the measure of angle ABD = 64 degrees. The measure of angle ABC = 3x + 6. the measure of angle CBD = 2x - 2. Using the angle addition postulate, find the value of x.
Answer:
x=12
Step-by-step explanation:
just combine them so they equal the 64 then solve from there and you get 12.
consider a tank in the shape of an inverted right circular cone that is leaking water. the dimensions of the conical tank are a height of ft and a radius of ft. how fast does the depth of the water change when the water is ft high if the cone leaks at a rate of cubic feet per minute?
According to implicit differentiation, the depth of water varies at a rate of -0.0764 feet per minute.
The volume of a cone with radius r and height h may be calculated as follows:
V = (πr²h) ÷ 3
Using implicit differentiation, determine that it is the rate of change, as follows:
dV ÷ dt = ((2πrh ÷ 3) × (dr ÷ dt)) + ((πr² ÷ 3) × (dh ÷ dt))
In this case, the height is 12 feet and the radius is 10 feet, therefore h = 12 and r = 10
Because the radius does not change, dr ÷ dt = 0
Water seeps at an 8 cubic foot per minute pace, therefore dV ÷ dt = -8
Then:
dV ÷ dt = ((2πrh ÷ 3) × (dr ÷ dt)) + ((πr² ÷ 3) × (dh ÷ dt))
-8 = (π(10)² ÷ 3) × (dh ÷ dt)
dh ÷ dt = -24 ÷ 100π
dh ÷ dt = -0.0764
Water depth varies at a rate of -0.0764 feet per minute.
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The question is -
Consider a tank in the shape of an inverted right circular cone that is leaking water. The dimensions of the conical tank are a height of 12 ft and a radius of 10 ft. How fast does the depth of the water change when the water is 10 ft high if the cone leaks at a rate of 8 cubic feet per minute?
32÷(14-6)+9-7x3
Ayuda porfa, con procedimiento
We discovered that the number is \(-8\) by solving the \(32/(14-6)+9-7*3\) above equation.
How then do you construct a two-point equation?Finding a slope between two points along a line and then solving again for y-intercept inside the slope-intercept formula \(y=mx+b\) allow us to build an equation for the that line. The line passing between the coordinates \((-1,6)\) and is represented by an equation in this example \((5,-4)\).
How is an equation written in standard form?\(Ax+By=C\) is the usual form for two-variable linear equations. A typical form linear equation is, for instance, \(2x+3y=5\). When a solution is provided in this format, finding both intercepts is rather simple (x and y).
\(32/(14-6)+9-7*3\)
\(= 32/ 8 + 9 - 21\)
\(= 4 +9 -21\)
\(= 13 - 21\)
\(=-8\)
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The complete and the correct form of question is:
\(32/(14-6)+9-7*3\) solve the given equation?
Which of the following values are solutions to the inequality? Choose all that apply.
5x - 7 < 13
A.3
B.5
C.10
D.-4
Which is equivalent to 80 1/4x
Answer:
20x
Step-by-step explanation:
\(\frac{80}{4}=\frac{20}{1}=20\)
The magnitude of an earthquake is measured on the Richter scale as a logarithm of the intensity of the shock wave. For magnitude Rand intensity, the formula is R = log/. Using this formulo, determine how many times more intense an earthquake that measures 7.5on the Richter scale is than an earthquake which measures 2.3 on the Richter scale. Round your answer to two decimal places,
To answer this question, first, we will compute the intensity of each earthquake.
Recall that:
\(a=\log b\text{ if and only if }10^a=b.\)Therefore, using the given formula we get:
\(I=10^R.\)Then, the intensity of an earthquake that measures 7.5 on the Richter scale is:
\(I_{7.5}=10^{7.5},\)and the intensity of an earthquake which measures 2.3 on the Richter scale is:
\(I_{2.3}=10^{2.3}.\)Now, notice that:
\(\frac{I_{7.5}}{I_{2.3}}=\frac{10^{7.5}}{10^{2.3}}=10^{5.2}.\)We know that:
\(10^{5.2}\approx158489.32.\)Answer:
\(158489.32\text{ times more intense.}\)Joshua has at most 10 dollars a cab company will charge him 4 dollars flat and a rate is 1.25 for each mile driven write and solve and inequality for the above situation
Answer:
4.8 miles
Step-by-step explanation:
First you need to figure out an equation which will be 10<or equal to 1.25m+4. In this equation m=the number of miles. Knowing this information you can now solve. You want to subtract 4 from both sides leaving you with 6 is less than or equal to 1.25m. You then divide both sides by 1.25 and you are left with 4.8 is less than or equal to m.
Which equation in standard form has a graph that passes through the point (-2, 6) and has a slope of !.A. 3x — 2y = 12 B. 3x — 2y = 6 C. 3x — 2y = -18 D. 3x — 2y = 18
Answer:
Your answer should be C
Step-by-step explanation:
Answer:
3x - 2y = -18
Step-by-step explanation:
3x - 2y = -18 and (-2, 6)
(3)(-2) - (2)(6) = -6 - 12 = -18
Segment addition and midpoints.
======================================================
Explanation:
AC = 13 and BC = 8
Those two facts must mean AB = AC-BC = 13 - 8 = 5.
Similarly, CD = BD - BC = 12 - 8 = 4
So,
AD = AB + BC + CD
AD = 5 + 8 + 4
AD = 17
------------
Another way to approach this problem would be to say
AD = AC + BD - BC
AD = 13 + 12 - 8
AD = 17
This works because when we add up AC with BD, we're double counting the portion from B to C. So this is why we subtract off BC to correct for this overcounting so to speak.
Answer:
Segment AD is 17.
Step-by-step explanation:
We know AC is 13, BC is 8, and BD is 12. We need the lengths of AB and CD.
To get AB's length, subtract BC's length from AC's length. We should get 5 for the length of AB (13 - 8 = 5).
To get CD's length, subtract BD's length from BC's length. We should get 4 for the length of CD. (12 - 8 = 4)
Now to add AB, BC, and CD. Add 5, 8, and 4 to get 17. (13 + 4 = 17)
The length of Segment AD is 17.
Stacy filled her 1/2 cup measuring cup seven times to have enough flour for a cake recipe. How much flour does the cake recipe call for?
Answer:
3 1/2 cups of flour
Step-by-step explanation:
Since 6 times full is the 3 because 6÷2 is 3. Then the extra half.
Answer:
3 1/2 cups of flour
Step-by-step explanation:
Brainliest question please help me now plz
Answer:
\(\frac{5}{3} \\.3846153846\)
Step-by-step explanation:
Charlie owns a computer repair service. For each computer, they charge $50 plus $45 per hour of work. A linear equation that expresses the total amount of money Charlie earns per computer is y
The linear equation is 45x+50
Linear equation is the equation having the degree 1
Given that the charge per computer repair service is $50
The charge per hour of work is $ 45
We need to show the linear equation that expresses the total amount of money Charlie earns per computer is y
So , Let the number of hours be x
Therefore, the Charlie working hours charge will be 45x
The total amount of money Charlie earns per computer is y
Therefore the linear equation will be
y = 50+45x
Where y = Total amount of money
x = number of hours
Hence the linear equation is y = 45x+50
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John and Mary had Php 384 altogether. After John gave Php 36 to Mary, Mary had 3 times as much money as John. How much money did Mary had at first?
John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Let's start by setting up the equations to solve for this problem.
Let x be the amount of money John had initially.
Then, Mary had (384 - x) initially.
After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).
We are told that Mary had three times as much money as John after this transaction, so we can write:
3(x - 36) = 420 - x
Simplifying this equation gives:
3x - 108 = 420 - x
4x = 528
x = 132
Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).
Answer: Mary had Php 252 at first.
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Choose the best compatible numbers to find an estimated product or quotient.
2,127 ÷ 405
A. 2,100 ÷ 300 = 7
B. 2,000 ÷ 500 = 4
C. 2,400 ÷ 400 = 6
D. 2,000 ÷ 400 = 5
A newspaper reporter asked an SRS of 100 residents in a large city for their opinion about the mayor's job performance. Using the results from the sample, the C% confidence interval for the proportion of all residents in the city who approve of the mayor's job performance is 0.565 to 0.695. What is the value of C? (a) 82 (b) 86 (c) 90 (d) 95 (e) 99
The value of C is 95. This is because the 95% confidence interval for the proportion of all residents in the city who approve of the mayor's job performance is 0.565 to 0.695.
To calculate the confidence interval, the formula is used:
CI = p +/- Z * √(p(1-p)/n)
Where p is the proportion of all residents in the city who approve of the mayor's job performance from the sample, Z is the critical value, and n is the sample size.
In this case, p = 0.63, n = 100, and Z is the critical value associated with a 95% confidence interval, which is 1.96.
Plugging these values into the formula, we get:
CI = 0.63 +/- 1.96 * √(0.63(1-0.63)/100)
This yields a confidence interval of 0.565 to 0.695, so the value of C is 95.
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Stone Culture Corporation was organized on January 1, 2020. For its first two years of operations, it reported the following:
Net Income for 2020 $ 40,000
Net Income for 2021 45,000
Dividends for 2020 15,000
Dividends for 2021 20,000
Total assets at the end of 2020 125,000
Total assets at the end of 2021 242,000
Required:
On the basis of the data given, prepare a statement of retained earnings for both 2020 (its first year of operations) and 2021
The statement of retained earnings for both 2020 (its first year of operations) and 2021 show $150.000 and $268,000 respectively
What is retained earnings?You should recall that Retained Earnings represent the total accumulated profits kept by the company to date since inception, which were not issued as dividends to shareholders.
Retained Earnings = Prior Retained Earnings + Net Income – Dividends
Statement of retained earnings for 2020 and 2021
2020 2021
Total assets at the end of the year 125,000 242,000
Add net income 40,000 45,000
165,000 288,000
Less dividends 15,000 20,000
Retained earnings 150,000 268,000
Therefore the retained earnings for 2020 and 2021 are 150,000 and 268,000
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Ryan made strawberry jam and raspberry jam. He made enough strawberry jam to fill 1/8 of a jar. If he made 1/3 as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill?
Write your answer as a fraction or as a whole or mixed number.
_______ jars
The number of jars of raspberry jam filled is required.
The number of jars of raspberry jam is 1/24
Fraction:
A fraction represents a part of a whole, or more generally, any number of equal parts. In common English, a fraction describes the number of parts of a certain size, such as half, eight-fifths, three-quarters. A common, vulgar, or simple fraction consists of a numerator that appears above (or before a slash, such as 1⁄2) a line, and a non-zero denominator that appears. Multipliers and denominators are also used in less common fractions, including complex, complex, and mixed fractions.
According to the Question:
The number of jars of strawberry jam is 1/8 jars.
The number of jars of raspberry jam is half of the number of jars of strawberry jam.
So,
1/8 × 1/3
= 1/24
The number of jars of raspberry jam is 1/24.
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helppp please, i don’t know how to do this
Answer:
Line CB
Step-by-step explanation:
We know the smallest triangle is the left triangle, so you need to find the smallest angle in that triangle, which is 50 degrees as shown, and the opposite side to that, CB, is the smallest side.
Two large high schools in a city (3000 students in each school) claim they have a higher rate of students who go on to graduate from a 4-year university. 57% of students from school A go on to graduate from a 4 year university and 61% from school B. A random sample of 75 students from school A and 80 from school B are selected and followed to determine if they graduate from a 4-year university.
a. Find the probability that difference in sample proportions is more than 6.
b. What is the probability that School A sample proportion is more than 5% higher than School B?
a. The probability that difference in sample proportions is more than 6% is 0.1056.
b. There is a 0.2677 probability that the sample proportion from School A is greater than 5% than that from School B.
a. We must first determine the standard error of variation between the two sample proportions in order to determine the probability that the difference in sample proportions is greater than 6:
SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }
where,
P1 = 57% of students are from school A.
p2 = 61% of students are from school B.
Sample sizes from schools A and B were 75 and 80, respectively.
SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }
= sqrt{ 0.00233 + 0.00240 }
= 0.0803
Now, we can find the Z-score as:
Z = (p1 - p2 - D) / SEp1-p2
where,
D = 6% = 0.06
Z = (0.57 - 0.61 - 0.06) / 0.0803
= -1.248
Using a standard normal distribution table, we can find the probability that Z < -1.248 is 0.1056.
Therefore, the probability that difference in sample proportions is more than 6% is 0.1056.
b. To find the probability that School A sample proportion is more than 5% higher than School B, we need to find the standard error of the difference between the two sample proportions:
SEp1-p2 = sqrt{ [p1(1-p1)/n1] + [p2(1-p2)/n2] }
where,
57% of the population in p1 is from school A.
61% of those in p2 are from school B.
75 were included in the sample from school A, while 80 were included in the sample from school B.
SEp1-p2 = sqrt{ [(0.57)(0.43)/75] + [(0.61)(0.39)/80] }
= sqrt{ 0.00233 + 0.00240 }
= 0.0803
Now, we can find the Z-score as:
Z = (p1 - p2 - D) / SEp1-p2
where,
D = 5% = 0.05
Z = (0.57 - 0.61 - 0.05) / 0.0803
= -0.621
We can get the probability that Z -0.621 is 0.2677 by using a standard normal distribution table.
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Holding other things constant, what is the effect of (a) sample size and (b) variation in x on the variance of the OLS estimator?
(a) Sample size: Increasing the sample size decreases the variance of the OLS estimator. (b) Variation in X: Greater variation in X leads to higher variance in the OLS estimator.
(a) Sample Size: Increasing the sample size tends to reduce the variance of the Ordinary Least Squares (OLS) estimator. As the sample size grows larger, the estimator becomes more precise and better captures the true underlying relationship between the variables. With more observations, the OLS estimator tends to average out random errors, leading to a decrease in variance. However, if there are influential outliers or systematic biases present in the data, increasing the sample size may not necessarily result in a significant reduction in the variance.
(b) Variation in X: The variance of the OLS estimator is influenced by the variation in the independent variable (X). When there is greater variation in X, the OLS estimator tends to have higher variance. This occurs because a wider range of X values can lead to a wider range of predicted Y values, resulting in larger deviations from the true regression line. In contrast, if there is less variation in X, the OLS estimator will have lower variance as the predicted Y values will be more tightly clustered around the regression line. Therefore, an increase in the variation of X tends to increase the variance of the OLS estimator.
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David is working two summer jobs, making $13 per hour landscaping and making $8 per hour clearing tables. In a given week, he can work no more than 16 total hours and must earn no less than $160. Also, he must work at most 13 hours landscaping. If
� x represents the number of hours landscaping and �y represents the number of hours clearing tables, write and solve a system of inequalities graphically and determine one possible solution.
Answer: One possible solution is to work 12.3 hours landscaping and 3.7 hours clearing tables, earning approximately $167.1.
Step-by-step explanation:
Let x be the number of hours landscaping and y be the number of hours clearing tables.
The system of inequalities can be written as:
x ≤ 13 (maximum of 13 hours landscaping)
x + y ≤ 16 (maximum of 16 hours total)
13x + 8y ≥ 160 (minimum earnings of $160)
To graph this system of inequalities, we can start by graphing the boundary lines of each inequality as follows:
x = 13 (vertical line at x = 13)
x + y = 16 (line with intercepts at (0, 16) and (16, 0))
13x + 8y = 160 (line with intercepts at (0, 20) and (12.3, 0))
Note that we only need to graph the portion of the lines that are in the feasible region (i.e. where x and y are non-negative).
The feasible region is the triangle formed by the intersection of the three boundary lines, as shown below:
|
20 --|--------------------------
| /|
| / |
| / |
| / |
16 --|------------------
| / |
|/ |
-------------------------
13 12.3
Let x be the number of hours landscaping and y be the number of hours clearing tables.
The system of inequalities can be written as:
x ≤ 13 (maximum of 13 hours landscaping)
x + y ≤ 16 (maximum of 16 hours total)
13x + 8y ≥ 160 (minimum earnings of $160)
To graph this system of inequalities, we can start by graphing the boundary lines of each inequality as follows:
x = 13 (vertical line at x = 13)
x + y = 16 (line with intercepts at (0, 16) and (16, 0))
13x + 8y = 160 (line with intercepts at (0, 20) and (12.3, 0))
Note that we only need to graph the portion of the lines that are in the feasible region (i.e. where x and y are non-negative).
The feasible region is the triangle formed by the intersection of the three boundary lines, as shown below:
lua
Copy code
|
20 --|--------------------------
| /|
| / |
| / |
| / |
16 --|------------------
| / |
|/ |
-------------------------
13 12.3
The vertices of the feasible region are (0, 16), (12.3, 3.7), and (13, 0).
To determine one possible solution, we can evaluate the objective function (total earnings) at each vertex:
(0, 16): 13(0) + 8(16) = $128
(12.3, 3.7): 13(12.3) + 8(3.7) ≈ $167.1
(13, 0): 13(13) + 8(0) = $169
Therefore, one possible solution is to work 12.3 hours landscaping and 3.7 hours clearing tables, earning approximately $167.1.
Write the rate as a unit rate 339 calories in a 3-ounce serving The unit rate is ? ( I don’t need a detailed explanation just the answer please )
It is given that 339 calories in 3 ounce serving.
So in one ounce serving there will be:
\(\frac{339}{3}=113\text{ calorie/ounce}\)So the unit rate is 113 calories/ounce.
Identify the most appropriate test to use for the following situation:
In a experiment on relaxation techniques, subject's brain signals were measured before and after the relaxation exercises. We wish to determine if the relaxation exercise slowed the brain waves.
a) Matched pairs
b) One sample t test
c) Two sample t test
d) Two sample p test
The most appropriate test statistic to use for an experiment on relaxation techniques is matched pairs test. So, option(a) is right one.
For determining the validity of an asserting claim, the appropriate test statistic is formulated based on the population parameter to be tested from the estimated test statistic. Determining a claim related to a single parameter (e.g., the population mean) an appropriate test statistic, i.e., t-statistic or z-statistic is chosen based on the sample size. Also, In the case of claim related to examining the relationship between two population parameters, the two-sample test for t- or z statistic is formulated, based on appropriate sample sizes. We have an experiment related to relaxation techniques. The subject's brain signals were noted before and after the relaxation exercises. Claim is that relaxation exercise slowed the brain waves. There is two data sets one before and other after the relaxation exercise. So, for check the claim is true or not we use the matched pairs. The matched-pair t-test (or paired t-test or dependent t-test) that is used when the data from the two groups can be presented in pairs.
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Consider the titration of 80.0ml of 0.100M Ba(OH)2 by 0.400M HCl. Calculate the pH of the resulting solution after the following volumes of HCl have been added.
a) 0.0ml
b) 20.0ml
c) 30.0ml
d) 40.0ml
e) 80.0ml
In AOPQ, 0 = 4.3 cm, p = 4.5 cm and q-5.6 cm. Find the area of AOPQ to the
nearest square centimeter.
Answer:
Step-by-step explanation:
You need to give more information. There is nothing you can tell from the information you gave. Nothing is fixed.
wht is the gcf of 150
Answer:
gcf of 150 is 150
Step-by-step explanation:
if thats wrong then its 75
Daniel wants to buy Five-sixths of a pound of pecans. Pecans cost $7.98 per pound. How much will Daniel spend on pecans?
A. $6.65
B. $7.15
C. $8.00
D. $10.00
Answer:
A. $6.65
Step-by-step explanation:
To find how much 1/6 is you divide $7.98 by 6 and so the answer is $1.33. Now multiply $1.33 by 5 to get 5/6 or get the answer $6.65.
Is the conditional statement -(p + q) → -q tautology? Yes or No Yes No
Yes, the conditional statement -(p + q) → -q is a tautology.
A conditional statement is a logical statement that connects two propositions using an if-then relationship. The if portion is referred to as the hypothesis or antecedent, while the then portion is referred to as the conclusion or consequent.In propositional logic, a tautology is a statement that is always true regardless of the truth values of its variables. This implies that no matter what value the variables take, the statement will always be true.
The conditional statement -(p + q) → -q is a tautology because it is always true.The following are the steps to prove that -(p + q) → -q is a tautology:1. Consider the negation of the conditional statement, which is p + q ∧ ¬q.2. We can simplify p + q ∧ ¬q to p, which indicates that ¬(p + q) → ¬q.3. We can simplify ¬(p + q) to ¬p ∧ ¬q, which indicates that ¬p ∧ ¬q → ¬q.4. Since the conditional statement is equivalent to the contrapositive, ¬q → ¬p ∧ ¬q, we can simplify ¬q → ¬p ∧ ¬q to ¬(¬q) ∨ (¬p ∧ ¬q).5. We can simplify ¬(¬q) ∨ (¬p ∧ ¬q) to q ∨ (¬p ∧ ¬q), which is always true.Therefore, -(p + q) → -q is a tautology.
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