The measure of ∠EFD as shown in the diagram is 60.5°.
What is a tangent line?Tangent line to a plane curve at a given point is the straight line that just touches the curve at that point.
Note: The tangent line of a circle and the radius meets at an angle of 90°
To calculate the value of ∠EFD, we use the theorem of the angle susbtends by an arc of a circle.
From the diagram,
∠EFD = ∠DAE/2 (The angle which an arc subtends at the center of a circle is twice that substends at every points of the circuference of the circle)................. Equation 1First we need to look for ∠DAE
∠DAE = 360-(∠D+∠E+∠C)................. Equation 2From the diagram,
∠D = ∠E = 90° (Angle formed by a tangent line and the radius of a circle)∠C = 59°Substitute these values into equation 2
∠DAE = 360-90-90-59∠DAE = 121°Substitute the value of ∠DAE into equation 1
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Simplify each expression, #1: 4(f+2g) - 4g +f. #2: 5g(9m-2) + 3g
Answer:
1) 5f
2) 45gm-7g
Step-by-step explanation:
hope this helped!
Help please. I have most of the problem done.
PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS
Answer:
its B
Step-by-step explanation:
Answer:
y= x+75
Step-by-step explanation:
We already have 75 and add x money
what is the y-intercept of y=3x+5
Answer:
5
Step-by-step explanation:
y-intercept of y=3x+5 is 5
Jane needs to fix a piece of broken siding on the side of her house. The top of the
ladder is placed is 8 feet high above the ground and the base of the ladder will be
placed 6 feet away from the house.
What is the length of the ladder? Round to the nearest whole number.
Answer:
The length of the ladder = 10 feet
Step-by-step explanation:
The ladder placed on the Wall forms a right angle triangle
Hypotenuse ² = opposite ² + adjacent ²
The top of the ladder = opposite
The base of the ladder = adjacent
The length of the ladder = hypotenuse
Opposite = 8 feet
Adjacent = 6 feet
Hypotenuse = ?
Hypotenuse ² = opposite ² + adjacent ²
= 8² + 6²
= 64 + 36
= 100
Hypotenuse ² = 100
Hypotenuse = √100
Hypotenuse = 10 feet
The length of the ladder = 10 feet
need explanation and steps
The length of the line segment AC and AG will be 6√2 units and 6√3 units, respectively.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
AB = 6
BC = 6
CG = 6
Then the length of diagonal AC is given as,
AC² = AB² + BC²
AC² = 6² + 6²
AC = 6√2
Then the length of diagonal AG is given as,
AG² = AC² + CG²
AG² = (6√2)² + 6²
AG = 6√3
The length of the line segment AC and AG will be 6√2 units and 6√3 units, respectively.
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solve pls brainliest
Answer:
c
Step-by-step explanation:
which expression results in an irrational number? (see image)
a) II
b) III
c) I, III, IV
d) II, III, IV
What is the slope of the line that passes through the points (2, -6)(2,−6) and (6, -12)(6,−12)?
Answer:
-18/-4 or 9/2
Step-by-step explanation:
what will be the contents of the priority queue, as the uniform cost search algorithm proceeds?
The contents of the priority queue in the uniform cost search algorithm will change as the search progresses and will depend on the specific problem being solved and the initial state of the search. The priority queue will contain nodes that have been visited but not yet expanded, sorted based on their path cost from the start node.
The contents of the priority queue in the uniform cost search algorithm will depend on the specific problem being solved and the initial state of the search.
In general, the uniform cost search algorithm expands the node with the lowest path cost from the start node to that node. As the search proceeds, it adds new nodes to the priority queue with their associated path costs. The priority queue is then sorted based on the path cost of each node, with the node with the lowest path cost at the front of the queue.
As the search progresses, the priority queue will contain the nodes that have been visited but not yet expanded. The order of nodes in the priority queue will depend on their path cost from the start node. The uniform cost search algorithm will continue to expand nodes from the priority queue until it reaches the goal state or until the entire search space has been explored.
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5) Alex's house (point F) lies on the same street as her school (point H). Alex's bus stop (point G) lies between her
house and her school. Given FG equals (2x) meters, GH = 1,000 meters, and FH equals 1.200 meters, what is z?
Answer:
Answer:
100 meters
Step-by-step explanation:
Given the following :
Alex house = F
Alex school = H
Alex bus stop = G
FG = 2x meters
GH = 1000meters
FH = 1200 meters
Hence,
FH = FG + GH
1200 = (2x + 1000) meters
1200 = 2x + 1000
1200 - 1000 = 2x
200 = 2x
x = 100meters
Hence, x = 100 meters
Refer to Table 4-1. Suppose that D2 and S1 are the prevailing demand and supply curves for a product. If the demand schedule changes from D2 to D1, then:
Price D 1 D 2 S 1 S 2
$12 5 9 19 14
$10 8 12 17 12
$8 11 15 15 10
$6 13 18 13 8
$4 16 21 11 6
$2 18 24 9 4
equilibrium price increases from $6 to $8.
equilibrium quantity increases from 13 to 18
equilibrium quantity decreases from 15 to 13.
equilibrium price decreases from $6 to $4.
The correct option is A, equilibrium price increases from $6 to $8.
What do you mean by Equilibrium?In economics, equilibrium is a state in which the supply and demand for a product or service are balanced, resulting in a stable price. This can occur in a free market, where the price of a good or service is determined by the interaction of buyers and sellers.
Overall, equilibrium is a fundamental concept in many different fields, representing a state of balance or stability in a system or situation.
If the demand schedule changes from D2 to D1, then the demand curve shifts to the left. As a result, the new equilibrium point will be where the new demand curve (D1) intersects with the supply curve (S1).
From the table, we can see that the new equilibrium point is at a price of $8 and a quantity of 15. Therefore, the equilibrium price increases from $6 to $8, but the equilibrium quantity decreases from 15 to 13.
So the correct answer is: equilibrium price increases from $6 to $8.
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The director of a factory believes that the average time that labours spend on their cellphone calls is more than 32 minutes per working shift. A sample size of 41 is monitored and found that the average time spent on cellphone calls is 34 minutes. There is no previous record on population standard deviation. The sample standard deviation is computed and found to be s= 3.5 mins. With a significance of 0.05, test the claim for time spent on cellphone calls.
We reject the null hypothesis and conclude that there is sufficient evidence to support the claim that the average time spent on cellphone calls is more than 32 minutes per working shift in the factory.
To test the claim regarding the average time spent on cellphone calls, we can conduct a one-sample t-test.
The null hypothesis (H0) is that the average time spent on cellphone calls is 32 minutes per working shift, while the alternative hypothesis (H1) is that the average time is greater than 32 minutes.
Given a sample size of 41, a sample mean of 34 minutes, and a sample standard deviation of 3.5 minutes, we can calculate the test statistic using the formula:
t = (sample mean - population mean) / (sample standard deviation / √sample size)
t = (34 - 32) / (3.5 / √41)
t = 2 / 0.546
t ≈ 3.663
Using a significance level of 0.05 and the appropriate degrees of freedom (n - 1 = 41 - 1 = 40), we can compare the calculated t-value to the critical t-value from the t-distribution table.
If the calculated t-value is greater than the critical t-value, we reject the null hypothesis. In this case, the calculated t-value of 3.663 is greater than the critical t-value for a one-tailed test at a significance level of 0.05.
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Can I have help on this one
Answer:
4. 40°
5. 15
6.
I hope this helps. I don't know the last one.
It costs $13 to order a cheese pizza and $2 for each extra topping. Write an equation for the function that gives the total cost y in dollars for ordering a pizza with x extra toppings.
Using the equation from question 5. Complete the table.
Extra Toppings X Total Cost (S) Y: Blank, blank, blank
3
4
5
Answer:
y = 2x + 13
Step-by-step explanation:
total cost of pizza (y) = price of cheese pizza + price ($2) of each added topping (x)
we can start by looking at y = 13 the total cost (y) of a CHEESE pizza is $13
If you want to ADD additional toppings, you pay $2 for each topping. We know how much each topping is, but we are not sure how many additional toppings we need. So x will represent how many toppings are added. We can multiply $2 times how many toppings to figure out the additional cost of the toppings.
y = 13 + 2x ; remember, function form is y=mx+b so re-write the equation as
y = 2x + 13
I am unsure why the 3, 4, and 5 are listed here, but if the problem is asking you to solve for how much your pizza will cost with 3 toppings, 4 toppings, and 5 toppings, you will need to use substitution to solve for the cost.
y = 2x + 13
y = 2(3) + 13
y = 6 + 13
y = 19
If you order a pizza with three additional toppings, your total cost will be $19.
which scenario is best researched using a sample survey
Answer:
A sample survey is best suited for researching scenarios where the researcher aims to collect data from a representative sample of the population in order to make inferences or draw conclusions about the entire population. Sample surveys are commonly used in social sciences, market research, public opinion polling, and other fields.
Here are some scenarios where a sample survey would be appropriate:
Public Opinion: To gauge public opinion on a particular issue or topic, a sample survey can be conducted to collect data from a representative sample of the population. This helps researchers understand the views, attitudes, and preferences of the larger population.
Market Research: Sample surveys are frequently employed in market research to gather data about consumer behavior, purchasing patterns, brand preferences, and market trends. By surveying a representative sample of the target market, companies can make informed decisions about product development, marketing strategies, and customer satisfaction.
Social Science Research: Sample surveys are commonly used in social science research to study various aspects of society, such as demographic characteristics, socioeconomic factors, health behaviors, educational attainment, and more. By collecting data from a sample of individuals, researchers can make generalizations about the larger population and identify trends or patterns.
Political Polling: Polling organizations conduct sample surveys to measure public opinion on political candidates, elections, and policy issues. By surveying a representative sample of voters, they can estimate election outcomes, track changes in public sentiment, and provide insights into the political landscape.
Customer Satisfaction Surveys: Sample surveys are utilized by businesses to assess customer satisfaction levels, gather feedback on products or services, and identify areas for improvement. By surveying a sample of customers, companies can understand the overall customer experience and make data-driven decisions to enhance their offerings.
In each of these scenarios, the objective is to gather data from a representative sample that can be generalized to the larger population. By using appropriate sampling techniques and survey methodologies, researchers can ensure the validity and reliability of the findings.
A high school teacher earns an average bi-weekly net pay of $1,541.65. Which compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for transportation is between 15% and 20%?
$501.04 ≤ m ≤ $668.05
$462.50 ≤ m ≤ $616.66
$334.02 ≤ m ≤ $501.04
$231.25 ≤ m ≤ $308.33
The compound inequality correctly shows the amount of money, m, the teacher can spend if the monthly budget for transportation is between 15% and 20% is $462.50 ≤ m ≤ $616.66
How to determine which compound inequality correctly shows the amount of money the teacher can spend?
Given:
The average bi-weekly net pay of the high school teacher is $1,541.65.
To find the monthly budget for transportation, we need to multiply this amount by 2 to get the monthly net pay and then multiply the result by the percentage of the budget for transportation, which is between 15% and 20%.
The compound inequality that correctly shows the amount of money, m, the teacher can spend on transportation is:
$1,541.65 × 2 × 0.15 ≤ m ≤ $1,541.65 × 2 × 0.20
This simplifies to:
$462.495 ≤ m ≤ $616.66
$462.50 ≤ m ≤ $616.66
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PLEASE HELP ME.What letter should appear next in the sequence? V,T,S,R
Answer:
in what sentence all i see is the letters no image above
Find y such that the slope between (2, y) and (5, -3) is 7.
Answer:
y= -24
Step-by-step explanation:
since the slope is 7 the value of y should decrease as the value of x decreases. and since you went back 3 on the x, you should go down 21 on the y resulting in -3-21 which is -24
This question is down below. The picture attached below.
Thanks.
The vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.
Given an equation showing profits of A Christmas vendor as
P=-0.1\(g^{2}\)+30g-1200.
We have to find the number of gingerbread houses that the vendor needs to sell in order to earn profit of $665.60 and $1500.
To find the number of gingerbread houses we have to put P=665.60 in the equation given which shows the profit earned by vendor.
665.60=-0.1\(g^{2}\)+30g-1200
0.1\(g^{2}\)-30g+1200+665.60=0
0.1\(g^{2}\)-30g+1865.60=0
Divide the above equation by 0.1.
\(g^{2}\)-300g+18656=0
Solving for g we get,
g=[300±\(\sqrt{(300)^{2}-4*1*18656 }\)]/2*1
g=[300±\(\sqrt{90000-74624}]/2\)
g=[300±\(\sqrt{15376}\)]/2
g=(300±124)/2
g=(300+124)/2 , g=(300-124)/2
g=424/2, g=176/2
g=212,88
Because 212 is much greater than 88 so vendor prefers to choose selling of 88 gingerbread houses.
Put the value of P=1500 in equation P=-0.1\(g^{2}\)+30g-1200.
-0.1\(g^{2}\)+30g-1200=1500
0.1\(g^{2}\)-30g+1500+1200=0
0.1\(g^{2}\)-30g+2700=0
Dividing equation by 0.1.
\(g^{2}\)-300g+27000=0
Solving the equation for finding value of g.
g=[300±\(\sqrt{300^{2} -4*1*27000}\)]/2*1
=[300±\(\sqrt{90000-108000}] /2\)
=[300±\(\sqrt{-18000}\)]/2
Because \(\sqrt{-18000}\) comes out with an imaginary number so it cannot be solved for the number of gingerbread houses.
Hence the vendor has to sell 88 gingerbread houses to earn a profit of $665.60 and there is no chance that the vendor will earn $1500.
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Find the sum of the first 6 terms of the following series, to the nearest integer.
11, 22, 44,...
Answer:
693
Step-by-step explanation:
11, 22, 44, 88, 176, 352
11 + 22 + 44 + 88 + 176 +352 = 693
Divide using long or synthetic division.
(10x3 – 2² – 292 – 30) = (x² – 2 – 2)
Answer:
10x3−22−292−30=x2−2−2
10x3−326=x2−4
Step 1: Subtract x^2-4 from both sides.
10x3−326−(x2−4)=x2−4−(x2−4)
10x3−x2−322=0
Step 2: Use cubic formula.
x=3.215088
Answer:
x=3.215088
Step-by-step explanation:
Answer:
x=3.215088
Step-by-step explanation:
u want me to show step by step?
how to dived inters -6÷5
To make a division between two integer, for example -6÷5. The first thing we need to do is:
• Define the sign of the result.
For that we use the law of signs:
• when you divide a negative number by a positive number, the answer will be negative.
,• When you divide a positive number by a negative number, the answer will be also negative
,• When you divide a negative number by a negative number, the answer will be a positive number.
In this example, we have the first case, so the answer will be negative.
Now we move to making th division between 6 and 5, for that we arrange the numbers as follows:
And we start by finding how many times does the number 5 fits into the number 6. The answer to that is that 5 can fit into 6 one time.
Use the definition of Taylor series to find the Taylor series (centered at c ) for the function. f(x)=e 4x
,c=0 f(x)=∑ n=0
[infinity]
The answer is , the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.
The Taylor series of a function f(x) centered at c is given by the formula:
\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)
Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)
\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)
Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:
\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)
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The Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:
f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...
First, let's find the derivatives of f(x) = e^(4x):
f'(x) = d/dx(e^(4x)) = 4e^(4x)
f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)
f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)
Now, let's evaluate these derivatives at x = c = 0:
f(0) = e^(4*0) = e^0 = 1
f'(0) = 4e^(4*0) = 4e^0 = 4
f''(0) = 16e^(4*0) = 16e^0 = 16
f'''(0) = 64e^(4*0) = 64e^0 = 64
Now we can write the Taylor series expansion:
f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...
Substituting the values we found:
f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...
Simplifying the terms:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:
f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...
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Part E
Using the dimensions from part D, find the area of each simple shape. Do this for all your decompositions (sets of shapes).
Answer:
What type of question is this
Answer:
The area of a rectangle is given by A = l × w, where l is the length and w is the width.
The length (l) and width (w) of the small rectangle are 14 feet and 6 feet, respectively, so the area of the small rectangle (As) is:
AS = 14 ft. × 6 ft.
= 84 sq. ft.
The length (l) and width (w) of the large rectangle are 20 feet and 7 feet, respectively, so the area of the large rectangle (Al) is:
Al = 20 ft. × 7 ft.
= 140 sq. ft.
The area of a triangle is given by , where b is the base and h is the height of the triangle.
The base and height of the triangle both measure 6 feet, so the area of the triangle (At) is:
ft. ft.
sq. ft.
sq. ft.
Step-by-step explanation:
Find f(g(−1)). f(g(−1)) =
Answer:-6
Step-by-step explanation:it j told me the answer haha
Answer:
64
Step-by-step explanation:
calculate the surface area
Answer:
228 square meters
Step-by-step explanation:
1. Simplify: 2√50 × 3√32 × 4√18
Answer:
Answer is 4072.93506 and there's full explanation.
Which function is increasing?
(x+a)^2-(x-b)^2+x^2+(a-b)x-ab by (a+b)
Answer:
(a+b)(2x−ab+a−b)+x(a−b)+x²
Step-by-step explanation:
I can't make a good explanation, so here's a graph.
Also, this wouldn't be a proportional relationship because of exponents on the last term.
This is really a parabola.