The measure of angle E in the quadrilateral CDEF which is inscribed in a circle is given by option a. 78 degrees.
Quadrilateral CDEF is inscribed in circle A
m∠C = 7x° + 11
And m ∠E = 6x°
When a quadrilateral is inscribed in a circle, opposite angles are supplementary.
m∠C + m ∠E = 180°
Substituting the given values, we get,
⇒ 7x° + 11 + 6x° = 180
Simplifying and solving for x, we get,
⇒13x + 11 = 180
⇒13x = 169
⇒ x = 13
Now substitute the value of x, to get the measure of ∠E,
m ∠E = 6x°
⇒m ∠E = 6(13)°
⇒ m ∠E = 78°
Therefore, the measure of ∠E in given quadrilateral is option a. 78 degrees.
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The above question is incomplete, the complete question is:
Quadrilateral CDEF is inscribed in circle A. If the m∠C = 7x° + 11 and m ∠E = 6x°, what is the measure of ∠E?
78°
85°
95°
102°
A survey found that 8 out of 10 parents approved of the new principal’s performance. If 4 parents name are chosen with replacement what is the probability they all approve of the principal’s performance
Answer:
The probability is 0.044
Step-by-step explanation:
Step-by-step explanation:
Let p be the probability that the new principal’s performance is approved.
This is obtainable from the survey and it is 8/10 = 0.8
Let q be the probability that the new principal’s performance is disproved.
That will be;
1 - q = 1- 0.8 = 0.2
To calculate the probability that 14 parents names are chosen at random and they all
approve of the principal’s performance, we use the Bernoulli approximation of the binomial theorem.
That will be;
14C14 * p^14 * q^0
= 1 * 0.8^14 * 0.2^0
= 0.043980465111 which is approximately 0.044
In 15 words or fewer, will dividing the two polynomials in the table produce another polynomial? Why or why not?
Dividing two polynomials may produce another polynomial only when the divisor has a lower degree than the dividend. Otherwise, it will generally result in a rational function.
No, dividing two polynomials may not result in another polynomial. It can produce a rational function.
A polynomial is an algebraic expression consisting of terms with non-negative integer exponents. When two polynomials are divided, the result is not always a polynomial.
If the degree of the polynomial being divided (dividend) is higher than the degree of the polynomial dividing (divisor), then the result can be a polynomial with a lower degree. However, if the degree of the divisor is equal to or greater than the degree of the dividend, the result will generally be a rational function, which is a ratio of two polynomials.
A rational function has the form P(x)/Q(x), where P(x) and Q(x) are polynomials and Q(x) is not equal to zero. The division can introduce terms with negative or fractional exponents, making the result a rational function rather than a polynomial.
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I need help On these 8 questions that are blank
Answer:
X = 5
Step-by-step explanation:
3x + 12 + 9x = 72
okay hopefully i can explain so when your doing this combine like terms so
3x + 9x = 12x
12x + 12 = 72
then you would subtract both sides by 12
+12 = subtract x+12=2
- 12 = add x-12=2
there just flipped so in this case i would subtract 12
12x + ( 12-12) = ( 72-12 )
so 12-12 = 0 and 72-12 is equal to 60
12x = 60
the divide on both sides l but leave the x alone so its just 60 divided by 12 wich is 5
so X = 5
hope this helps with ur homework a little btw go back and redo ur other awnsers with this new concept hope it helps
if the polynomial p(x) is being divided my x-r, the remainder is p(r) TRUE OR FALSE
Answer:
True. Remainder when divided by (x-r) is p(r).
Answer:
TRUE
Step-by-step explanation:
Let p(x) is divided by (x-r)
Then, by division algorithm of polynomials
p(x) = (x-r) Q(x) + RR is the remainder and it is a constant because according division algorithm degree of remainder is always less than degree of divisor and greater than Or equal to 0. So it is 0.
Q(x) is quotient.
Now, if we particularly put x = r in the equation, we get.
p(r) = ( r-r) Q(r) + R p(r) = RPLS HELPPPPP!!!!!!!!
Answer:
7) 7500m
8) 4cm
..........
What are the Miller indices for the plane shown in the following cubic unit cell and Explain why? O (201) O (10 1/2) O (1 infinity 1/2) O (102)
The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).
Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.
Steps to find the Miller indices:Determine intercepts of the planes with the x, y, and z axes.Use fractional coordinates to specify intercepts.Take the reciprocals of the fractional interceptsIn the given graph, the plane intercepts are:
x-intercept : 1
y-intercept : ∞ (since the planes does not intercept y-axes)
z-intercept = 1/2
Take the reciprocal:
1/1 = 1
1/∞ = 0
1/(1/2) = 2
Hence, the miller indices are (102)
The graph in your question is missing. Most likely it was like on the attached picture.
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please help me on this will give you brainliest!
Answer:
∠V = 33°
∠W = 90°
∠X = 57°
Step-by-step explanation:
In a right triangle, the sum of the acute angles is 90 degrees
(2x+3) + (3x+12) = 90
combine like terms
5x + 15 = 90
5x = 75
x = 15
∠V = 2x+3, x=15
2(15) + 3
30 + 3
33°
∠X = 3x+12, x=15
3(15) + 12
45 + 12
57°
easy please helppp match the following defintion with the correct term: the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
Answer:
4. rise
match the following definition with the correct term:
the vertical distance between two points on a line
1. run
2. rate of run
3. slope
4. rise
18 pieces of furniture by this Saturday. The materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00. He has $600.00 to spend on materials. Andrew makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand. Find how many of each piece of furniture Andrew should make so that he maximizes his profit.
Andrew should make 6 bookcase and 12 tv stand to maximize his profut $1560.
Given that 18 pieces of furniture is made and the materials for each bookcase cost him $20.00 and the materials for each TV stand cost him $40.00 and he has $600.00 to spend on materials. He makes a profit of $60.00 on each bookcase and a profit of $100.00 for each TV stand.
Let x represent the number of book case and let y represent number of tv stand.
Total number of book case and total number of tv stand is x+y≤18 ......(1)
Total amount of book case and total amount of tv stand is 20x+40y≤600 ......(2)
minimum amount of book case is x≥0 and minimum amount of tv stand is y≥0.
Now, solve the inequality (1) by converting it into equality and substituting x=0 and y=0, we get
x+y=18
When x=0 then
0+y=18
y=18
When y=0 then
x+0=18
x=18
Now, solve the inequality (2) by converting it into equality and substituting x=0 and y=0, we get
20x+40y=600
When x=0 then
20(0)+40y=600
40y=600
y=15
when y=0 then
20x+40(0)=600
20x=600
x=30
Further, we will grph the inequalities and we get feasible region and taking boundary point from graph.
From the graph the vertices of the feasible region is (0,0),(6,12),(0,15) and (18,0)
Further, we will find the maximization profit for the equation Z=60x+100y
When (x,y)=(0,0) then
Z=60(0)+100(0)
Z=0
When (x,y)=(6,12) then
Z=60(6)+12(100)
Z=360+1200
Z=1560
When (x,y)=(0,15) then
Z=60(0)+12(15)
Z=0+1500
Z=1500
When (x,y)=(18,0) then
Z=60(18)+100(0)
Z=1080
Hence, maximum profit is $1560 when andrew should build 6 bookcase and 12 tv stand.
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pls help im having so much trouble with this along with my friends :(
PLD HELP ME I WILL FAIL PLS
Answer:
8 recipes
Step-by-step explanation:
make 1 1/4 into decimal
makes it easier
10 divided by 1.25
8 recipes
Subtract. Write your answer in scientific notation.
(8 × 107) - (6.87 × 105)
1.13 x 105
Submit
7.313 x 10
4
1.13 x 10
7.313 × 10²
The value of the expression after subtraction in scientific notation is
7.93 × 10⁷ .
The given expression is (8 × 10⁷) - (6.87 × 10⁵)
Now we will subtract the values in general form:
80000000 - 687000 = 79313000
Now we will write the result in scientific notation as:
79313000 = 7.9313 × 10⁷ ≈ 7.93 × 10⁷
Therefore value of the expression after subtraction in scientific notation is
7.93 × 10⁷ .
When a number is either too big or too little to be expressed in decimal form, scientific notation must be utilised, which usually results in a long string of digits. It is often referred to as scientific form or standard index form.
This base ten notation is widely used by scientists, mathematicians, and engineers since it may make a variety of mathematical procedures simpler. An essential figure is a digit that increases a number's accuracy. All non-zero numbers, zeros between significant digits, and significant zeroes are included in this.
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Vince borrows $900 to buy a couch. He will pay off the loan by paying 1.5% simple interest for 2 years. Vince incorrectly calculates the amount he will pay back using the expression below. 900 + 900(1.015 • 2) What is the correct amount Vince will pay back altogether? Explain the error in Vince's expression. A. 00:00 $903; Vince should have subtracted the first 900 from the amount he will pay. B. 00:00 $913.50; Vince multiplied by the wrong number of years. C. 00:00 $927; Vince wrote the wrong number to represent the interest rate. D. 00:00 $1,813.50; Vince forgot to add the initial $900 to the amount he will pay.
Answer: C. 00:00 $927; Vince wrote the wrong number to represent the interest rate.
Step-by-step explanation:
Given that:
Amount borrowed (p) = 900
Simple interest (r) = 1.5% = 0.015
Time (t) = 2 years
Amount he'll pay back (A) :
A = P(1 + rt)
A = 900(1 + 0.015(2))
A = 900(1 + 0.03)
A = 900(1.03)
A = $927
Solve by using distributive property.
-3(m - 2) = 21
Answer:
m=-5
Step-by-step explanation:
distribute -3: -3m+6=21
subtract 6 from both sides: -3m=15
divide by negative three: m=-5
Answer:
m = -5
Step-by-step explanation:
-3(m-2)=21
-3m + 6 = 21
-3m = 15
15
m = --------
-3
m = -5
Find the distance between (-2,7) and (3, -3). Round to the nearest tenth. Geometry please help
Answer:
15
Step-by-step explanation:
The formula for distance when given vertices is
√(x2 - x1)² + (y2- y1)²
Where we have points (x1,y1) and (x2,y2)
So, (-2,7) and (3, -3)
Distance = √(3 -(-2))² + (-3 -7)²
= √5² + (-10)²
= √25 + 100
= √125
= 15
Therefore, the distance between (-2,7) and (3, -3) is 15
What is the correct solution set for the following graph?
{ } or empty set
{point in Quadrant I}
{point in Quadrant IV}
{infinite set of points on the line}
\(▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)
The lines shown in the graph are parallel to each other so they can't intersect each other, therefore there is no solution ~
No solution is represented by " Empty set {Φ} "
The sum of two numbers is 12 and their difference is 4
write down two equations to describe given equation
solve the simultaneous equations to find the two numbers
Answer:
8 and 4
Step-by-step explanation:
let the 2 numbers be a nd b
equations :
a + b = 12
a - b = 4
Adding the two equations
a + b + a - b = 12 + 4
2a= 16
a = 8
b = 4
the ratio of children to adults is two to seven. there are 100 more adults than children. how many adults and children are in the restaurant?
Answer: There are 140 adults and 40 children.
Step-by-step explanation:
Let 2x = Number of children
7x = Number of adults.
As there are 100 more adults than children.
That means, \(7x-2x = 100\)
\(\Rightarrow\ 5x=100\\\\\Rightarrow\ x=\dfrac{100}{5}\\\\\Rightarrow\ x=20\)
Number of children = 2 (20)=40
Number of adults = 7(20) = 140
Hence, there are 140 adults and 40 children.
Use the figures below to answer the following question. Panel A is most likely showing a and Panel \( B \) is showing Panel A Panel B regression discontinuity design; difference-in-difference design
Based on the information provided, Panel A is most likely showing a regression discontinuity design, while Panel B is showing a difference-in-difference design.
In a regression discontinuity design, the treatment group is determined based on a cutoff point, such as a certain score on a test.
The figure in Panel A likely shows a clear cutoff point, with one group on each side of the cutoff. This design is used to estimate the causal effect of a treatment by comparing the outcomes of individuals just above and just below the cutoff.In a difference-in-difference design, the treatment group is compared to a control group before and after the treatment is introduced. The figure in Panel B likely shows two lines, one for the treatment group and one for the control group.This design is used to estimate the causal effect of a treatment by examining the difference in outcomes between the treatment and control groups before and after the treatment.
To summarize, Panel A most likely shows a regression discontinuity design, while Panel B most likely shows a difference-in-difference design.
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you have fifteen slices of bread and five servings of peanut butter. how many sandwiches can you make
Answer: 5
Step-by-step explanation:
15 odd number
closest even is 14
14/2 =7 but you only have 5 servings of PB
so its 5
The function f(x) is a quartic function and the zeros of f(x) are -5, 3, 4 and 6.
Assume the leading coefficient of f(x) is 1. Write the equation of the quartic
polynomial in standard form.
Help fast plz
Answer:
Step-by-step explanation:
the difference between 40.33% and 24.07%, percentage-wise?
A company sells two different safes. The safes have different dimensions, but the same volume. What is the height of Safe B?
Safe A is a rectangular prism with a length of 18 inches, a width of 15 inches, and a height of 24 inches. Safe B is a rectangular prism with a length of 18 inches, a width of 18 inches, and a height of h inches
Answer:
125/6
Step-by-step explanation:
So if these two have the same volume it is just the sense of plugging number in. Let’s first find the whole volume of cube a
Cube A : L x W x H
18 x 15 x 25
270 x 25
6750 inches cubed
now let’s find what we know of cube b
Cube B: L x W x H
18 x 18 x h
324 x h
Now we know that in order for the volumes to be the same, we have to find a number that when multiplied by 324 would give us 6750. We can do this by dividing the two numbers
6750 / 324
125/6
when we multiply
18 x 18 x (125 / 6)
We get a volume of 6750
lmk if this helps
The height of safe B is 20 inches.
How do you determine the volume of a rectangular prism?The volume of a rectangular prism is the product of all its dimensions.
∴ The volume of a rectangular prism = height*width*length
How do we solve the given question?We are given dimensions of two safes A and B, in the shape rectangular prism.
Denoting safe A with subscript 1, and the safe B with subscript, we get:
l₁ = 18 inches, w₁ = 15 inches, h₁ = 24 inches.
l₂ = 18 inches, w₂ = 18 inches, h₂ = h inches.
We are told that the volumes of the safe A and B are equal, so
The volume of safe A = The volume of safe B
or, 18*15*24 = 18*18*h
or, h = (18*15*24)/(18*18) = 20
∴ The height of safe B is 20 inches.
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Victor runs 1/2 of a mile each day. Steve runs 3/4 of the distance that Victor runs. How long does Steve run?
Steve runs \(\frac{3}{8}$\) of a mile each day.
What is Miles?For instance, traveling at 60 mph equates to traveling 60 miles per hour. There are an hour in 60 minutes, so partition the miles by that sum, and presto! One mile can be covered in one minute.
According to question:Victor runs \(\frac{1}{2}$\) of a mile each day.
Steve runs \(\frac{3}{4}$\) of the distance that Victor runs, which is \(\frac{3}{4} \times \frac{1}{2} = \frac{3}{8}$\) of a mile.
Therefore, Steve runs \(\frac{3}{8}$\) of a mile each day.
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Write a number in each blank to complete an inequality Lydia can use to find how many pounds of Pumpkin Spice coffee, p, she can buy along with 2 pounds of Dark Roast coffee.
Missing part of the question:
Lydia is at a coffee shop and knows she can spend no more than $65 before tax. She sees this price list in the coffee shop.
Item Price per pound
Dark Roast Coffee $7.50
Pumpkin Spice Coffee $10.50
Answer:
\(15.0 + 10.50p \le 65\)
\(p \le 4.76\)
Step-by-step explanation:
From the question, we understand that she wants to buy 2 pounds of dark roast coffee.
If 1 pound costs $7.50, then 2 pounds cost $15.0 (i.e. $7.50 * 2)
If 1 pound of pumpkin spice coffee costs $10.50, then p pounds cost $10.50p (i.e. $10.50 * p)
So, her total spendings (before tax) is:
Spendings = 15.0 + 10.50p
We also know that she plans to spend not more than $65.
The inequality that represents this scenario is:
\(Spendings \le 65\)
\(15.0 + 10.50p \le 65\)
Solving further:
\(10.50p \le 65 - 15.0\)
\(10.50p \le 50.0\)
Make p the subject
\(p \le \frac{50.0}{10.50}\)
\(p \le 4.76\) -- approximated
Which of the following is the quotient of the rational expressions shown below?
The quotient of the rational expressions is 4(x+2) / 5(x-1) (x-1)
Which is rational expressions?The quotient of the rational expressions is
4(x+2) / 5(x-1) (x-1)
The quotient of the rational expressions shown below
Explanation in detail:
Two expressions are shown here.
Expression 1 : 2x/x-1
Expression II for 5x/2x+4.
The product of expressions I and II must be calculated.
(2x / x-1 ) ÷ (5x / 2x+4)
applying the upcoming regulation
a ÷ b = a× 1/b
(2x/x-1)×( 2x+4 / 5x)
(2x) (2x+4) / (x-1)(5x) (5x)
(2) (2) (x+2) / (x-1)(5) (5)
The solution to the previous question is 4(x+2) / 5(x-1).
The quotient of the rational expressions is 4(x+2) / 5(x-1) (x-1)
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Assume we have two events, A and B, that are mutually exclusive. Assume further we know P(A) = .30 and P(B) = .40.
What is P(A ⋂ B)?
What is P(A | B)?
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
P(A ∩ B) = 0, since the events are mutually exclusive.
P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.
Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.
Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.
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A bag of apple weigh 350 g. A box can hold 12 bag of apple. What would be the ma of 20 boxe of apple? Give your anwer in kilogram
The mass of 1 box of the weight of 20 boxes of apples is 84 kg.
Given that,
The weight of a single bag of apples = 350 grams.
No. of bags hold by one box = 12
The total weight of a single box is 12 x 350 grams = 4200 grams.
Now we multiply the weight of a single box (4200 g) by 20, which gives us 4200 g x 20 = 84,000 grams.
Since the final answer is asked in kilograms, we divide the weight in grams by 1000, which gives us 84,000 g ÷ 1000 = 84 kilograms.
Therefore, the total weight of 20 boxes of apples would be 84 kilograms.
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Sum of the arithmetic sequence- Find each sum: 5+ 9 +13 + ... +49
ANSWER
324
EXPLANATION
We want to find the sum of the arithmetic progression:
\(5+9+13\ldots_{}+49\)To do that we apply the formula for the sum of an arithmetic sequence:
\(S_n=\frac{n}{2}(a+l)\)where a = first term
l = last term
n = number of terms
We have to find n by using the last term:
\(a_n=a+(n-1)d\)d = common difference
The common difference is 4. Therefore, we have to find n:
\(\begin{gathered} 49=5+(n-1)\cdot4 \\ 49=5+4n-4 \\ 49=1+4n \\ \Rightarrow4n=49-1=48 \\ n=\frac{48}{4} \\ n=12 \end{gathered}\)There are 12 terms.
Therefore:
\(\begin{gathered} S_n=\frac{12}{2}(5+49)=6\cdot(54) \\ S_n=324 \end{gathered}\)That is the sum of all the terms.
the walt disney company has successfully used related diversification to create value by:
The Walt Disney Company has successfully used related diversification to create value by leveraging its existing brand and intellectual properties to enter new markets and expand its product offerings.
Through related diversification, Disney has been able to extend its brand into various industries such as film, television, theme parks, consumer products, and digital media. By utilizing its well-known characters and franchises like Mickey Mouse, Disney princesses, Marvel superheroes, and Star Wars, Disney has been able to capture the attention and loyalty of consumers across different age groups and demographics.
For example, Disney's acquisition of Marvel Entertainment in 2009 allowed the company to expand its presence in the superhero genre and tap into a vast fan base. This strategic move not only brought in new revenue streams through the production and distribution of Marvel films, but also opened doors for merchandise licensing, theme park attractions, and television shows featuring Marvel characters. Disney's related diversification strategy has helped the company achieve synergies between its various business units, allowing for cross-promotion and cross-selling opportunities.
Furthermore, Disney's related diversification has also enabled it to leverage its technological capabilities and adapt to the changing media landscape. With the launch of its streaming service, Disney+, in 2019, the company capitalized on its vast library of content and created a direct-to-consumer platform to compete in the growing digital entertainment market. This move not only expanded Disney's reach to a global audience but also provided a new avenue for monetization and reduced its reliance on traditional distribution channels.
In summary, Disney's successful use of related diversification has allowed the company to create value by expanding into new markets, capitalizing on its existing brand and intellectual properties, and leveraging its technological capabilities. By strategically entering complementary industries and extending its reach to a diverse consumer base, Disney has been able to generate revenue growth, enhance its competitive position, and build a strong ecosystem of interconnected businesses.
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