the set of x-values where f(x) = 7 /x-1 + 8x is continuous, using interval notation is (-∞, 1) U (1, ∞).
Given function is f(x) = 7/(x-1) + 8x.In order for the function to be continuous, the denominator should not be zero.
So, the x-1 should not be zero. Then, x ≠ 1Let's find the domain of the function :Domain of f(x) = set of all x values for which f(x) is defined.
f(x) is defined for all x values except 1.Hence, the domain of the given function is: x ∈ (-∞, 1) U (1, ∞).Now, we need to find the set of x-values for which the given function is continuous.
Continuous function is the function that is defined for every x value in the interval and there is no break or gap in the graph of the function.
So, the given function is continuous for the interval of (-∞, 1) U (1, ∞).Using interval notation, the set of x-values for which f(x) is continuous can be written as:(-∞, 1) U (1, ∞)
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The z score associated with the highest 10% is closest to
a. .0398
b. .5398
c. 1.28
d. -1.28
The z score associated with the highest 10% is closest to: option (c) 1.28
-To find the z score associated with the highest 10%, first determine the percentage that corresponds to the lower 90%, since the z score table typically represents the area to the left of the z score.
- Look up the 0.90 (90%) in a standard normal distribution (z score) table, which will give you the corresponding z score.
-The z score closest to 0.90 in the table is 1.28, which corresponds to the highest 10% of values.
Therefore, the z score associated with the highest 10% is closest to 1.28.
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Organic firms are ______ changing competitive demands. Select one: a. faster at responding to b. slower at responding to c. usually unaware of d. less likely to catch up with e. unconcerned about
Organic firms are faster at responding to changing competitive demands.
An organic firm is an organization that makes use of a system in which the company is a living entity that changes as required by various situations. It depends on the situation, but the organic organization can be faster at responding to a changing competitive environment than a mechanistic organization. A mechanistic organization is one that works under the same old rigid structure and system, and they take longer to adjust to changing demands than an organic organization.
Organic organizations are more flexible than mechanistic organizations, so they can adjust more quickly to changing demands. Organic organizations have a more relaxed and informal structure. They work better in changing environments and can also respond more quickly to the changes. Their structure is such that they can delegate and decentralize more readily than mechanistic organizations.Therefore, it can be concluded that organic firms are faster at responding to changing competitive demands.
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Need help !!!What is the first step to solve the following system of equations using substitution?
Answer:
It is the second one: Solve the first equation for x.
Step-by-step explanation:
Expand each of the following expression algebraic identities:
a) (7x+9)²
b) (1-3x)²
c) (5x+8) (5x-8)
Answer:
a)49x^2+126x+81
b)3x^2-6x+1
c)25x^2-64
Step-by-step explanation:
a)(7x+9)(7x+9)
49x^2+63x+63x+81
49x^2+126x+81
b)(1-3x)(1-3x)
3x^2-3x-3x+1
3x^2-6x+1
c)(5x+8)(5x-8)
25x^2-40x+40x-64
25x^2-64
A roulette wheel has 38 3838 slots, of which 18 1818 are red, 18 1818 are black, and 2 22 are green. In each round of the game, a ball is tossed in the spinning wheel and lands in a random slot. Suppose we watch 7 77 rounds of this game, and let R RR represent the number of rounds where the ball lands in a red slot. Which of the following would find P ( R = 3 ) P(R=3)P, left parenthesis, R, equals, 3, right parenthesis?
The value of P(R = 3) is 0.2854
ProbabilityProbabilities are used to determine the chances of events.
The given parameters are:
\(n = 38\) --- the number of slots\(red = 18\). --- the number of red slot\(black = 18\). --- the number of black slot\(green = 2\). --- the number of green slotIndividual probabilitiesThe probability that the ball lands on a red slot is calculated as:
\(p = \frac{18}{38}\)
Simplify
\(p= \frac{9}{19}\)
The probability that the ball does not land on a red slot is calculated as:
\(q = \frac{18+2}{38}\)
\(q = \frac{20}{38}\)
Simplify
\(q = \frac{10}{19}\)
Binomial probabilityThe value of P(R = 3) is then calculated using the following binomial probability formula
\(P(R = r) = ^nC_rp^rq^{n-r}\)
Where:
\(n = 7\)
\(r = 3\)
So, we have:
\(P(R = 3) = ^7C_3 \times (9/19)^3 \times (10/19)^{7-3}\)
\(P(R = 3) = 35 \times (9/19)^3 \times (10/19)^4\)
\(P(R = 3) = 0.2854\)
Hence, the value of P(R = 3) is 0.2854
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The lines are parallel. Find x.
Answer:
As the lines are parallel, it shows that the two lines form 180° because they are angles on the same side of the transversal. A transversal is a line that bisects two lines.
Here,
(20x + 5)° + (24x - 1)° = 180°
=> (20x + 24x)° + (5 + (-1) )° = 180°
=> 44x° + 4° = 180°
=> 44x = (180 - 4)°
=> x = 176 / 44
=> x = 4
Therefore, x = 4 is the solution of the equation.
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Answer:
x=4
Step-by-step explanation:
1 11 2,*÷;£$;$£÷,£$,$£?$*$;
7. A rectangular prism measures 7 1/2 cm by 12 cm by 15 1/2 cm. a. Calculate the number of cubes with edge length cm that fit in this prism. b. What is the volume of the prism in cm3? Show your reasoning. If you are stuck, think about how many cubes with -cm edge lengths fit into .
Answer:
a.The number of cubes with edge length 1/2 cm that fit in this prism= 2520
b. Volume of the prism= 315 cm³
Step-by-step explanation:
Volume of the rectangular prism = length *width * height
= 7 1/2 * 12 * 15 1/2
= 7 * 6* 15 1/2
= 7*3*15
= 315 cm³
Volume of the cube = length *width * height
= 1/2 *1/2 *1/2
= 1/8 cm³
Now number of cubes that would fit in the rectangular prism is given by
= Volume of the prism/ Volume of the cubes
= 315/1/8
= 2520
The number of cubes with edge length cm that fit in this prism= 2520
help me please!! ill mark brainliest
Answer:
B
Step-by-step explanation:
12x18x2= 432 So your answer will be 432
PLEASE HELP ILL MARK AS BRAINLIEST!!!!
Maria louisa looks at a sequence of shapes and records the number of vertices in each of the shapes in the sequence. The first shape has 9 vertices, the second shape has 13 vertices, and the third shape has 17 vertices.
If maria louisa assumes that the number of vertices in the sequence of the shapes follows the same pattern, how many vertices would she expect the 24 shape to have?
A)87
B)97
C)101
D)105
E)109
Answer:
105
Step-by-step explanation:
add 9 then multiply 24 x 4 = 96 then do 9+96=105
Point P is the centroid of △ABC and BD⊥AC. Find the following:
1. Find PD.
2. Find AP.
3. Find FC.
4. Find AC.
5. Find the perimeter of △BDC
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
Triangle definitionTriangles, which have three sides and three angles, can be made by joining any three points in a plane. They are among the earliest geometric shapes to be studied. Triangles are especially important since they may be divided into each polygon, whether it has four, five, six, or n sides.
Here,
Let AD and DC are 2x and x respectively.
We have, BC = 10 units
=> 2x =10
=> x = 10/2
=> x= 5
Now ,
=> AP + PF = 8 + y
=> 8 + y = 12
=> y =4
Therefore , the solution of the given triangle comes out to be AC = 10 units and PD = 6 units.
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is (7, 3), (8, 6), (9, 9), (10, 12) a function
1. For each pair of fractions, decide which fraction is larger. Explain using one of these strategies: common denominator, common numerator, compare to 1, or
compare to 1/2.
a. 5/6 or 5/7
b. 3/4 or 9/10
c. 2/9 or 5/9
d. 2/8 or 5/9
2. A student says, "3/5 is smaller than 1/2 because 3/5 is 2 pieces away from a whole but 1/2 is only 1 piece away." Is the student's reasoning correct? Explain.
Please help me I also upload a picture so you can use that if needed
For each pair of fractions, following fraction is larger
a) 5/6 > 5/7
b) 2/9 < 5/9
c) 3/4 < 9/10
Define fraction.An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given,
Fraction:
a) 5/6 or 5/7
Taking LCM,
LCM = 42
5/6 × 7/7
35/42
5/7 × 6/6
30/42
5/6 > 5/7
b) 2/9 or 5/9
They have same denominator,
So,
2/9 < 5/9
c) 3/4 or 9/10
Taking LCM:
LCM = 20
3/4 ×5/5
15/20
9/10 × 2
18/20
3/4 < 9/10
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Solve for x and m<ABC:
Answer:
x=5 degrees
Step-by-step explanation:
5+9x+27x-5=180
36x=180
x=5 degrees
Please help me with the correct answer
Answer:
Literally do
a^2+b^2=c^2
not that difficult man
2) Which of the following is the quadratic
equation in standard form?
-b+ Vb2 - 4ac
A) X=
B) y=alr - h)? +k
2a
C) y=ax+bx+c D) y = ax + bx+c
Answer:
a
Step-by-step explanation:
its a because i looked it up and it said a
How has the creation of the nation-state of israel increased pan-arabism? question 20 options: it showed that there needs to be an arabic home land, too. it unites many different arabic cultures against a common enemy, the jews. it justifies the jewish need for more space and why they spread into the sinai peninsula. after the massive loss of the yom kippur wars, israelis and palestinians were united as one
Among the provided options, the most accurate statement would be: "It unites many different Arabic cultures against a common enemy, the Jews."
The creation of the nation-state of Israel in 1948 led to increased Pan-Arabism in several ways. Firstly, the establishment of Israel as a Jewish state in the heart of the Arab world was perceived by many Arabs as a direct threat to their own national aspirations. This common enemy, the Jews, served as a rallying point that united various Arabic cultures against a perceived external threat.
Additionally, the existence of Israel became a central issue for Arab nationalism, with the goal of liberating Palestine from Israeli control becoming a unifying cause among Arab nations. The Arab-Israeli conflict and ongoing tensions between Israel and its Arab neighbors further fueled Pan-Arab sentiment.
It is important to note that the other options provided do not accurately reflect the impact of Israel's creation on Pan-Arabism. The creation of Israel did not justify Jewish expansion into the Sinai Peninsula, nor did it lead to Israeli-Palestinian unity after the Yom Kippur Wars.
The statement that it demonstrated the need for an Arabic homeland is also not accurate, as the creation of Israel was not a direct factor in the Arab world's pursuit of national self-determination.
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What is the standard deviation and its meaning given this population of customer ages? 45, 76, 30, 22, 51, 40, 63, 66, 41
The standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
\(\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{N}\)
SD is the standard deviation
xi is each value from the data set
X is the mean of the data set
N is the number of observations in the data set.
It is given that:
The data set:
45, 76, 30, 22, 51, 40, 63, 66, 41
From the formula:
∑(x(i) - X)² = 2463.55
N = 9
SD = √(2463.55/9)
SD = 16.54
Thus, the standard deviation is 16.54 if the population of customers ages is 45, 76, 30, 22, 51, 40, 63, 66, and 41.
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PLEASE HELP ASAP!! ( will give brainly ty so much)
Find the quotient.
6-2
6-1
Enter the correct answer!!
Answer:
1 to the -2 power
Step-by-step explanation:
Answer:
1/6
Step-by-step explanation:
"Dividing negative exponents is almost the same as multiplying them, except you’re doing the opposite: subtracting where you would have added and dividing where you would have multiplied.
If the bases are the same, subtract the exponents.
Remember to flip the exponent and make it positive, if needed."
In this case:
6^-2 ÷ 6^-1 = 6^-2 - 6^-1
=6^-1
=1/6
you need to add lines, segments, and angles to create your ultimate circle. you need to incorporate specific theorems. Each problem must ask for a missing measure(an arc measure, segment length or angle measure. Provide information that someone would need to solve at the top of the puzzle could include angle measures, arc measures, tangent lines, parallel ect. You must list which problem number is used for each listed theorem show all work.
Some information that someone might use to solve problems related to a circle design is the Tangent Arc theorem.
What is the tangent arc theorem?The tangent arc theorem states that if an angle is formed by two secants, one secant, one tangent, or two tangents, and also intersects in a space outside of the circle, then the value obtained will be equal to the difference of the values of the intercepted arcs divided by one and a half.
Also, note that angles outside a circle are those whose vertex or arc is pointed outwards and their sides are either secants or tangents. With this information, it will be possible to solve problems related to tangent lines and arc measures.
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At dinner, the meal cost $22 and the sales tax of $1.87 was added to the bill. How much would the sales tax be on a $66 meal? What is the tax rate for meals in this city?
You can spend $20 on vegetables. If carrots cost $2 per pound and celery cost $1.75 per pound, write and graph and inequality that represents what you can buy.
A batsman scored 84 runs off fours, sixes and singles. He hit an equal amount of
fours and sixes and twice as many singles as fours. How many of each did he hit?
Which fraction below is equivalent to 7/8?
A.) 50/56
B.)63/72
C.) 49/64
D.) 15/16
Answer:
C
Step-by-step explanation:
just simplied them
A steep line has a bigger ____________ than a flat line
a steep line line has a bigger absolute greater slope than a flat line
The first person to answer correctly I will give them a brainlies, 5 stars, and a thank you!
Which process in photosynthesis uses energy from the sun?(1 point)
1. splitting water into hydrogen and oxygen
2. combining carbon dioxide and hydrogen
3. absorbing carbon dioxide
4. releasing oxygen
Answer:
1. splitting water into hydrogen and oxygen
Step-by-step explanation:
Answer:
Photosynthesis takes place in two stages: the light-dependent reactions and the Calvin cycle. In the light-dependent reactions, which take place at the thylakoid membrane, chlorophyll absorbs energy from sunlight and then converts it into chemical energy with the use of water.
Step-by-step explanation:
can u pls go answer my question? Thank you and have a nice day :)
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Thank you to anyone who helps
Answer:
x=16 or 23.32381
Step-by-step explanation:
Write an expression to represent:
Eight minus the quotient of two and a number xx
Answer:
8-(2/x)
Step-by-step explanation:
How many more brooms must each earn in order to have enough credit to get a month off with pay?
Answer:
5
Step-by-step explanation:
Two cars are traveling along a straight road. Car A maintains a constant speed of 77.0 km/h. Car B maintains a constant speed of 114 km/h. At t=0, car B is 45.0 km behind car A. How long does it take before car A is overtaken by car B?
Answer: 72.97 Minutes
Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.
To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.
Relative speed = Speed of car B - Speed of car A
Relative speed = 114 km/h - 77.0 km/h
Relative speed = 37.0 km/h
So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.
To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.
Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours
Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).
Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes
Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.
Hope this helps!
Cell phone A's battery has an initial charge of 15%. When plugged into the charger, it charges at a rate of 33% every 30 minutes. Cell phone B's battery has an initial charge of 0%. When plugged into the charger, it charges at the rate shown in the table below. Minutes Connected to the Charger 0 12 20 Percent Charged 0 27 45 Enter in response box 1 the cell phone battery, A or B, that charges at the greatest percentage rate. Enter in response box 2, the time, in minutes, that it will take cell phone B's battery to be 100% charged.
I kinda need it asap so that would be helpful :]
1. Cell phone A charges at a rate of 33% every 30 minutes, which means it charges at a rate of 1.1% per minute (33%/30min = 1.1%/min).
Cell phone B's charging rate is not given for all times, but we can use the two data points in the table to estimate its charging rate.
From 0 to 12 minutes, the battery charges by 27%, which means it charges at a rate of 2.25% per minute (27%/12min = 2.25%/min). From 12 to 20 minutes, the battery charges by 18%, which means it charges at a rate of 1.5% per minute (18%/8min = 1.5%/min).
Therefore, cell phone B charges at a greater percentage rate than cell phone A between 0-12 minutes of being connected to the charger. After 12 minutes, cell phone A charges at a greater percentage rate than cell phone B.
2. Let's assume that cell phone B charges at a constant rate between 0-20 minutes. To find the charging rate, we can use the two data points in the table:
From 0 to 12 minutes, the battery charges by 27%. From 12 to 20 minutes, the battery charges by an additional 18%. So, in total, the battery charges by 45% in 20 minutes.
Using this information,
we can set up a proportion to find the time it will take cell phone B's battery to be 100% charged:
20min / 45% = x / 100%
Cross-multiplying, we get:
45x = 2000
Dividing by 45, we get:
x ≈ 44.44
Therefore, it will take approximately 44.44 minutes (rounded to the nearest hundredth) for cell phone B's battery to be 100% charged if it charges at a constant rate.