Answer:
Step-by-step explanation:
14
Answer: 70% of 20 is 14.
An angle measures 4.2° more than the measure of its complementary angle. What is the measure of each angle?
Answer:
Step-by-step explanation:
If 2 angles are complementary, they are equal to 90 degrees. So, lets say that the measure of the first angle is x, and the measure of the second angle is y.
Since x measures 4.2 degrees more than its complementary angle (y), we can say that x - 4.2 = y
And, since they are complementary angles, x+y = 90.
We can now use a system of equations to solve. Since we know y = x-4.2, we can substitute y with x-4.2, making the equation x + x - 4.2 =90.
Simplify:
x+x-4.2=90
2x -4.2 =90
2x = 94.2
x= 47.1
Since y=x-4.2, we can now find y.
y = x-4.2
y= (47.1)-4.2
y=42.9
So, the measure of the angles is 47.1° and 42.9°.
Hope this helps!
Identify the highlighted part of circle O shown below
Central angle
Secant
Inscribed angle
Chord
Answer:
Chord
Step-by-step explanation:
Notice that the highlighted part is the line segment that joins the points J and E on the circle, which is known as a chord.
Find the value of the expression 8x^3 if x= -2
Answer:
-64
Step-by-step explanation:
8x^3
Let x = -2
8 (-2)^3
8 * -8
-64
Answer:
−4096
Step-by-step explanation:
desmos
Greg rides his motorized scooter for 20 minutes. Greg starts riding at 0 mph. Greg's maximum speed is 35 mph, which he reaches 5 minutes after he starts riding. Greg's speed increases steadily for 5 minutes. At the 10-minute
mark, Greg decreases his speed for 2.5 minutes, then he stays at 20 mph for 5 minutes. At the 17.5-minute mark, he again decreases his speed for 2.5 minutes until he stops. Use the key features to sketch a graph.
The piecewise function that gives his velocity is graphed at the end of the answer.
What is a piecewise function?A piecewise function is a function that has different definitions, depending on the input.
Between 0 and 5 minutes, the velocity increases steadily, from 0 to 35 mph, hence the function is:
v = (35/5)t
v = 7t, 0 ≤ t ≤ 5.
Between 5 and 10 minutes, the velocity remains constant at 35 mph, hence:
v = 35, 5 ≤ t ≤ 10.
At the 10 minute mark, his speed decreases to 20 mph for 2.5 minutes, hence:
m = (20 - 35)/2.5
m = -6.
v = 35 - 6(t - 10), 10 ≤ t ≤ 12.5. (considering that the velocity was at 35 mph at t = 10s).
Between 12.5 and 17.5 minutes, the velocity remains constant at 20 mph, hence:
v = 20, 12.5 ≤ t ≤ 17.5.
After 17.5 minutes until 20 minutes, the velocity decays from 20 to 0, in 2.5 minutes, hence the slope is:
m = -20/2.5 = -8.
The function is:
v = 20 - 8(t - 17.5), 17.5 ≤ t ≤ 20.
Taking these different definitions, the graph of the function is given at the end of the answer.
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Find the proportion of observations in a standard Normal distribution that satisfies the following statement.
z<2. 33
0. 010
0. 101
0. 880
0. 950
0. 990
what is the value of 10x+1 3
SOLUTION
In this question, we are meant to expand the expression:
\((10x+1)^{3\text{ }}\text{ = ( 10 x + 1 ) (10 x + 1 ) ( 10 x + 1 )}\)\(\begin{gathered} (10x+1)(10x+1)=100^{}x^2\text{ + 20 x + 1} \\ \text{Then,} \\ (100x^2+20x+1)(10x+1)=1000x^{3\text{ }}+200x^2+10x+100x^2\text{ + 20 x + 1} \\ \text{ = 1000 x}^{3\text{ }}\text{ + }300x^2\text{ + 30 x + 1} \\ \\ \text{CONCLUSION: ( 10 x + 1 )}^{3\text{ }}=1000x^{3\text{ }}+300x^2\text{ + 30 x +1} \end{gathered}\)How is life? How are people doing right now?
Answer:
I am doing quite well!
Step-by-step explanation:
I hope you're doing good as well, school can be quite stressful. I would like you to know I'm proud of you! keep chugging along, and keep doing your best. Even if it may not feel like much at times, I am so proud of you for trying.
it takes a river 4.5 hours downriver to get from port a to port b. The return journey takes 6.3 hours. The river flows at 40 minutes per minute. What is the distance between the two ports
Answer:
Step-by-step explanation:
you gotta multiply the mins which is 40 by 60 which is 2, 400 meters per hour
A box of facial tissues is 22cm by 10.5 cm by 8cm. How much cardboard is on the outside surface?
Answer:
1848 cm
Step-by-step explanation:
You would multiply 22 by 10.5 by 8 centimeters which would equal 1848 centimeters.
Please help, I am so confused. Find the missing length indicated.
Answer:
its D
Step-by-step explanation:
In a right triangle the hypotenuse which is 16+9 =25 has to be the largest side. Since x is not the hyportenuse it has to be lower which only leaves one answer : 15
Answer:
Step-by-step explanation:
these are tough to solve , don't feel bad. soo part of the trick is that the two side set up similar triangles, then
16 / y = y /9 ( the two triangles
16* 9 = \(y^{2}\)
144 = \(y^{2}\)
12 = y
y is the length between the two triangles , so since we now know that part, we can solve the triangles.
lets use tan to solve one of the angles of the smaller triangle
TOA to remember how tan fits on a triangle
Tan = Opp / Adj
Tan(Ф) = 9/12
Ф = arcTan(9/12)
Ф = 36.869897
knowing that we can solve for x
use CAH cos = Adj / Hyp
Cos(36.869897) = 12 / Hyp
Hyp = 12/ Cos(36.869897)
Hyp = 15 :) that seems reallly good .. :P
x = 15 there you go
Mr. Vazquez determines that the area of a bathroom in his house is 25 square feet less than 1/5 of the area of the living room. If the bathroom measures 35 square feet, what is the area of the living room? square feet=
Answer: 300 sq. ft
Step-by-step explanation:
1/5x - 25 = 35
1/5 x = 35+25
x = 60 * 5 = 300 sq. ft.
Answer:
300
Step-by-step explanation:
I did it on edge
What are not exponential functions?.
It is not of exponential order for h(t) = et2. F is of exponential order and has order. F is piecewise continuous. No function's Laplace transform is possible. g(t) = eat, where t [0,.
Non-exponential form:
To represent a scientifically notated number as a non-exponential quantity: • Remove the exponential component of the number by moving the decimal point the same number of places as the exponent's value. The decimal is moved to the right by the same number if the exponent is positive.
Here are a few instances of functions other than exponential ones. y = 3 1 x as a result. n = 0 3 p as a result. Because y = ( 4) x. Since b = 1, y = 6 0 x.
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Suppose a firm has the following costs:
Output (units) Total Cost $
10 50
11 52
12 56
13 62
14 70
15 80
16 92
17 106
18 122
19 140
(a) if the prevailing market price is $16 per unit, How much should the firm produce?
(b) How much profit will it earn at that output rate?
(c) if the market price dropped to $12, what should the firm do?
(d) how much profit will it make at that lower price?
(a) The firm should produce 15 units.
(b) It will earn a profit of $64.
(c) The firm should shut down.
(d) It will incur a loss of $18.
(a) How much should the firm produce?To determine how much the firm produce, it needs to choose the output level at which marginal revenue (MR) equals marginal cost (MC). To do this, we can calculate the change in total cost and total revenue from producing an additional unit of output. The results are:
Output (units) Total Cost ($) Marginal Cost ($) Total Revenue ($) Marginal Revenue ($)
10 50 2 - -
11 52 4 16 16
12 56 6 30 14
13 62 8 44 14
14 70 10 58 14
15 80 12 72 14
16 92 14 96 24
17 106 16 120 24
18 122 22 144 24
19 140 18 168 24
From the table, we can see that the firm should produce 16 units because that is the output level where MR=MC and the marginal revenue is greater than the marginal cost.
(b) How much profit will it earn?The profit earned by the firm can be calculated by subtracting the total cost from the total revenue. At an output level of 16 units and a price of $16 per unit, the total revenue would be 16 x $16 = $256. The total cost of producing 16 units would be $92, so the profit earned by the firm would be $256 - $92 = $164.
(c) What should the firm do?If the market price dropped to $12, the firm should produce the output level where MR=MC, which is where the marginal cost equals $12. From the table, we can see that the output level at which MC equals $12 is 13 units.
(d) How much profit will it make?At an output level of 13 units and a price of $12 per unit, the total revenue would be 13 x $12 = $156. The total cost of producing 13 units would be $62, so the profit earned by the firm would be $156 - $62 = $94.
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what is the difference between the critical value of z and the observed value of z (test statistic)?
The critical value of z separates the rejection region from the nonrejection region while observed value of z is the value calculated for a sample statistic such as x.
A critical value of z is used when the sampling distribution is normal, or close to normal. The critical value of z refers to the point that cuts off area under graph for the standard normal distribution separating the rejection and nonrejection region of the data. The Critical value of z can indicate what probability any particular variable will have. These values are typically obtained from a table such as the standard normal distribution table. The observed value of z is a value determined for a sample statistic x. It is a test statistic for Z-tests that measures the difference between an observed statistic and its hypothesized population parameter in units of the standard deviation.
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when using a multiple-baseline design, how would one decide when to implement the independent variable?
Helpppppppppppppppppp
I'm been doing this question about an hour still can't solve so I really need your help! Really appreciate if u do :D
Explanation:
1 hat = 45 dollars
6 hats = 6*45 = 270 dollars
1 phone = 40 dollars
4 phones = 4*40 = 160 dollars
total = $270 + $160 = $430
Felicia spent a total of $430. Since this amount of money leaves her account, this means we write a negative sign out front to end up with the final answer of -430
In other words, her account balance went down by $430 which is why we use a negative. If someone gave her $430, then the answer would be positive.
Which quadrilateral is a kite?
B
C
A
D
Correct option is B, The only quadrilateral that satisfies the requirements for a kite is quadrilateral EFGH. A kite has opposed sides that are not congruent and two sets of adjacent sides that are.
A quadrilateral shape is what?One quadrilateral is a closed figure with four sides. These geometric shapes are quadrilaterals: a quadrilateral form. There is just one set of parallel sides to the shape, and there are no right angles.
Each quadrilateral has four sides, four angles, and four vertices. Its inner angles add up to 360 degrees.
How many angles are there in a quadrilateral?4 angles
The four sides of a quadrilateral also create four angles. Here are a few quadrilateral instances. Each figure has four straight sides and four angles, as you can see. Any quadrilateral's interior angles add up to 360°.
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Complete question -
find the value of k, so that the difference of roots of x^2_5x + 3{k_1} =0 is 11
u can find the answer in the attached file
Review Questions
1. Cindy is a baker and runs a large cupcake shop. She has already
a. How many workers will the firm hire if the market wage rate is
hired 11 employees and is thinking of hiring a 12th. Cindy esti- $27.95 ? \$19.95? Explain why the firm will not hire a larger or mates that a 12 th worker would cost her $100 per day in wages $ smaller number of units of labor at each of these wage rates. and benefits while increasing her total revenue from $2,600per. day to $2,750 per day. Should Cindy hire a 12 th worker? b. Show this firm Explain. L016.2 c. Now again determine the firm's demand curve for labor. Complete the following labor demand table for a firm that is assuming that it is selling in an imperfectly competitive marhiring labor competitively and selling its product in a competiket and that, although it can sell 17 units at $2.20 per unit, it tive market. L016.2 ginal product of each successive labor unit. Compare this demand curve with that derived in part b. Which curve is more elastic? Explain. 3. Alice runs a shoemaking factory that uses both labor and capital to make shoes. Which of the following would shift the factory's demand for capital? You can select one or more correct answers from the choices shown. LO16.3 a. Many consumers decide to walk barefoot all the time. b. New shoemaking machines are twice as efficient as older machines. c. The wages that the factory has to pay its workers rise due to an economywide labor shortage.
Cindy should hire the 12th worker as it would result in a net increase in profit, with additional revenue exceeding the cost of hiring. Insufficient information is provided to determine the demand curve for labor or compare its elasticity. Events that would shift the factory's demand for capital include new, more efficient machines and rising wages due to a labor shortage.
a. To determine whether Cindy should hire a 12th worker, we need to compare the additional revenue generated with the additional cost incurred. Hiring the 12th worker would increase total revenue by $150 ($2,750 - $2,600) per day, but it would also increase costs by $100. Therefore, the net increase in total profit would be $50 ($150 - $100). Since the net increase in profit is positive, Cindy should hire the 12th worker.
b. By hiring the 12th worker, Cindy can increase her total revenue from $2,600 per day to $2,750 per day. The additional revenue generated by the 12th worker exceeds the cost of hiring that worker, resulting in a net increase in profit.
c. To determine the firm's demand curve for labor, we need information about the marginal product of labor (MPL) and the wage rates. Unfortunately, this information is not provided, so we cannot complete the labor demand table or derive the demand curve for labor.
Without specific data or information about changes in the quantity of labor demanded and wage rates, we cannot determine which demand curve (from part b or c) is more elastic. The elasticity of the demand curve depends on the responsiveness of the quantity of labor demanded to changes in the wage rate.
The events that would shift the factory's demand for capital are:
a. New shoemaking machines being twice as efficient as older machines would increase the productivity of capital. This would lead to an increase in the demand for capital as the factory would require more capital to produce the same quantity of shoes.
b. The wages that the factory has to pay its workers rising due to an economy-wide labor shortage would increase the cost of labor relative to capital. This would make capital relatively more attractive and lead to an increase in the demand for capital as the factory may substitute capital for labor to maintain production efficiency.
The event "Many consumers decide to walk barefoot all the time" would not directly impact the demand for capital as it is related to changes in consumer behavior rather than the production process of the shoemaking factory.
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The sum of the first five terms of an arithmetic sequence is 90 less than the sum of the next five terms. What is the absolute difference between two consecutive terms of this sequence
the absolute difference between two consecutive terms of this arithmetic sequence is 18.
Let's denote the first term of the arithmetic sequence as 'a' and the common difference as 'd'.
The sum of the first five terms can be expressed as:
S1 = a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d)
The sum of the next five terms can be expressed as:
S2 = (a + 5d) + (a + 6d) + (a + 7d) + (a + 8d) + (a + 9d)
According to the given information, the sum of the first five terms is 90 less than the sum of the next five terms:
S1 = S2 - 90
Substituting the expressions for S1 and S2:
a + (a + d) + (a + 2d) + (a + 3d) + (a + 4d) = (a + 5d) + (a + 6d) + (a + 7d) + (a + 8d) + (a + 9d) - 90
Simplifying the equation:
5a + 10d = 5a + 15d - 90
Canceling out the common terms:
10d = 15d - 90
Rearranging the equation:
5d = 90
Dividing both sides by 5:
d = 18
Now that we have the common difference 'd', we can find the absolute difference between two consecutive terms by subtracting one term from the next. In this case, the absolute difference is equal to the common difference 'd':
Absolute difference between two consecutive terms = d = 18
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.Find the area of the region that lies under the parabola y=5x - x^2, where 1≤x≤4.
The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is 14.33 square units.
To find the area under the parabola, we need to integrate the equation y = 5x - x^2 with respect to x over the given interval [1, 4]. The integral represents the area between the curve and the x-axis.
Integrating y = 5x - x^2 gives us the antiderivative F(x) = (5/2)x^2 - (1/3)x^3 + C, where C is the constant of integration. To find the definite integral over the interval [1, 4], we evaluate F(4) - F(1).
F(4) = (5/2)(4)^2 - (1/3)(4)^3 + C = 40 - (64/3) + C
F(1) = (5/2)(1)^2 - (1/3)(1)^3 + C = 5 - (1/3) + C
Substituting these values into the definite integral expression, we have:
Area = F(4) - F(1) = (40 - (64/3) + C) - (5 - (1/3) + C)
= 14.33
The area of the region under the parabola y = 5x - x^2, where 1 ≤ x ≤ 4, is approximately 14.33 square units.
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Each treasure hunt team will have 5 people. So far 42 people have signed up. How many more people are needed to make every team equal? How many teams will there be?
Answer:
1) 3 more people
2) 9 teams
Step-by-step explanation:
The divisibility rule for 5 is that it must end in 5 and 0
so the next one is 45, so 3 more people
----------------------- ----------------------- ----------------------- -----------------------
45/5=9 teams
Question 5 About 9% of the population has a particular genetic mutation. 500 people are randomly selected. Find the standard deviation for the number of people with the genetic mutation in such groups of 500. Round your answer to three decimal places
Therefore, the standard deviation for the number of people with the genetic mutation in groups of 500 is approximately 6.726.
To find the standard deviation for the number of people with the genetic mutation in groups of 500, we can use the binomial distribution formula.
Given:
Probability of having the genetic mutation (p) = 0.09
Sample size (n) = 500
The standard deviation (σ) of a binomial distribution is calculated using the formula:
σ = √(n * p * (1 - p))
Substituting the given values:
σ = √(500 * 0.09 * (1 - 0.09))
Calculating the standard deviation:
σ ≈ 6.726 (rounded to three decimal places)
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2(b + 2) > 4(1 + 5b) -b
Answer:
b<0
Step-by-step explanation:
2(b+2)>4(1+5b)−b
Step 1: Simplify both sides of the inequality.
2b+4>19b+4
Step 2: Subtract 19b from both sides.
2b+4−19b>19b+4−19b
−17b+4>4
Step 3: Subtract 4 from both sides.
−17b+4−4>4−4
−17b>0
Step 4: Divide both sides by -17.
−17b
−17
>
0
−17
b<0
Answer:
b<0
Answer:
2(b + 2) > 4(1 + 5b) -b
2b + 4 > 4 + 20b -b
2b - 20b + b > 4 - 4
-17b > 0
b < 0/-17
b < 0
convenience sampling allows for generalizations to a larger population, and probability sampling does not. group of answer choices true false
Probability sampling is not "wrong," and convenience sampling allows allowing generalizations to a wider group.
Explain the term convenience sampling?Convenience sampling is any non sampling technique where units are chosen for the sample based on their accessibility to the researcher.
This may be as a result of close proximity geographically, availability at a specific moment, or willingness to take part in the study. Convenience sampling, sometimes known as inadvertent sampling, is a non-random sampling technique.Research projects in qualitative and medical fields frequently employ convenience sampling.In medical science, convenience sampling frequently entails choosing clinical cases or volunteers who are accessible nearby (such as at a hospital) or from a database of medical information.Convenience sampling is frequently employed in qualitative research in the social sciences and in education where it is practical to use which was before groups, including such students.Thus, probability sampling is not "wrong," and convenience sampling allows allowing generalizations to a wider group.
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The facility is square in shape. The length of one of the walls is 20ft. How many square feet is the facility.
If the facility is square in shape and one of the walls has a length of 20 feet, it means that all sides of the square are of equal length.
Therefore, the area of the facility can be calculated by squaring the length of one side.
Area of a square = side length^2
In this case, the side length is 20 feet, so we can calculate the area as follows:
Area = 20 feet * 20 feet = 400 square feet
Therefore, the facility has an area of 400 square feet.
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evaluate the integral using the following value +1 points LarCalcET7 5.3.038. Evaluate the integral using the following values. 8 8 8 | dx = 6 x3 dx = 1,020, x dx = 30, 2 2 x dx Talk to a Tutor Need Help? Read It
To evaluate the integral, we will substitute the given values into the integral expression and perform the necessary calculations.
Replace the variable x with the given values in the integral expression:
∫[8, 8] x^3 dx
Evaluate the integral using the power rule for integration:
∫[8, 8] x^3 dx = [1/4 x^4] evaluated from 8 to 8
Substitute the upper and lower limits into the evaluated expression:
[1/4 (8)^4] - [1/4 (8)^4]
Simplify the expression:
(1/4) * 4096 - (1/4) * 4096
Perform the arithmetic:
1024 - 1024 = 0
The integral evaluates to 0.
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PLS ASAP !!! Help me out please :((
Answer:
v = 87.96 cubic mi
Step-by-step explanation:
v = π r^2 h. but diameter is 4 so r =4/2 =2
v = 3.143 * 2^2 * 7
v = 3.143 * 4 *7
v =3.143 *28
v =87.96 cubic mi
(-3/7 -2p)2
whoever solves this has big brain lol