Answer:
Step-by-step explanation:
f(0) = \(0^{3} +1=1\)
f(-2)= \((-2)^{3} +1=-7\)
f(x+1) = \((x+1)^{3} +1=x^{3} +3x^{2} +3x+2\)
The NFL regulation extra point is kicked 15 yards from the goal line. How many feet from the goal line is the extra point kick?
Answer:
45 feet
Step-by-step explanation:
1 yard = 3 feet
15 x 3 = 45
Which data set could be represented by
the box plot shown below?
H
0 2 4 6 8
Choose 1 answer:
A
Creating box plots
B
C
D
10 12 14 16 18 20
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
The given box plot represented by the data sets in option A and B.
From the given box plot, we have
Minimum value = 3
Maximum value = 18
First quartile (Q1) = 7
Third quartile (Q3) = 13
Median = 10
Option A:
3, 4, 8, 9, 9, 12, 12, 13, 13, 16, 18
Median = 12
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option B:
3, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Option C:
3, 4, 8, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 8
Third quartile (Q3) = 13
Option D:
2, 4, 7, 9, 9, 10, 12, 13, 13, 16, 18
Median = 10
First quartile (Q1) = 7
Third quartile (Q3) = 13
Therefore, the correct options are B and D.
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Write the trigonometric ratio as a simplified fraction.
10. sin B
C9
A
C
6
15 C
B
11. cos A
12. tan A
10.
11.
12.
The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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The value of the trigonometric ratios are;
sin A = 2/5
cos A = 3/5
tan A = 2/3
How to determine the ratiosIt is important to note that there are six different trigonometric identities and their ratios.
We have;
sine cosinetangentcotangentsecantcosecantFrom the diagram shown, we have;
sin θ = opposite/hypotenuse
cos θ = adjacant/hypotenuse
tan θ = opposite/adjacent
Then,
sin A = 6/15 = 2/5
cos A = 9/15 = 3/5
tan A = 6/9 = 2/3
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Riders for the Kiddie Koaster at the State Fair must be no more than 48 inches tall. Which inequality best expresses the height of the riders?
Answer:Note that at least means greater than or equal to (≥) . It was stated that you must be at least 48 inches tall to ride the roller coaster. Hence, the inequality is h≥48 h ≥ 48
Step-by-step explanation: poopity poop UWU UWU UWU oodfijdisfioahgioahiodfhipodioajhierfia MUSIC MUSIC MUSIC MUSIC MUSIC MUSIC HACKER HACKER HAKER HACKER HACKER OMG UWU UWU UWU YOUR 13 LOL YOUR FATHERLESS GT DELETED TRASH KID
Which shows the correct way to
calculate the percent change if the
original value of your stock was $750
and the new value of your stock is
$1,000?
A. (1,000+ 750)/750 = 230%
B. (750-1,000)/1,000 = -25%
C. (1,000-750)/750 = 33%
The correct way to calculate the percent change between the original value of $750 and the new value of $1,000 is option C.
C. (1,000 - 750)/750 = 250/750 = 1/3 ≈ 0.3333 = 33.33%
Therefore, the correct answer is option C, which represents a percent change of approximately 33.33%.
Brand A has a box of 25 forks for 1.99 and Brand B has a box of 42 totals for 3.89. What is the unit price for each brand and what brand is a better buy based on unit price
Answer:
Brand A
Step-by-step explanation:
Brand A has a box of 25 forks for 1.99
Take the price per fork
1.99 /25 = .0796
.08 per fork
Brand B has a box of 42 totals for 3.89
3.89 / 42
.092319048
.09 per fork
Help
Identify the equation that represents a quadratic relationship
y =4x^2
y =4x^4
y =4x^3
y =4
The equation that represents a quadratic relationship is y = 4x^2. Option A.
A quadratic relationship is a mathematical relationship where the variable y is a function of the variable x raised to the power of 2. In other words, it is an equation in which the highest power of the variable is 2.
Let's analyze the given equations:
1. y = 4x^2: This equation represents a quadratic relationship because the variable x is raised to the power of 2. The term 4x^2 indicates that the relationship between x and y is quadratic.
2. y = 4x^4: This equation represents a quartic relationship, not a quadratic relationship. The variable x is raised to the power of 4, which indicates a higher degree relationship than quadratic.
3. y = 4x^3: This equation represents a cubic relationship, not a quadratic relationship. The variable x is raised to the power of 3, indicating a higher degree relationship.
4. y = 4: This equation represents a linear relationship, not a quadratic relationship. It is a constant equation where y is always equal to 4, regardless of the value of x. In a quadratic relationship, the variable x should have a power of 2. Option A.
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giving brainliest !! *easy*
um here’s the graph
Two trains leave stations 396 miles apart at the same time and travel toward each other. One train travels at 80 miles per hour while the other travels
at 100 miles per hour. How long will it take for the two trains to meet?
Answer:
It will take 2.2 hours for the trains to meet.
Step-by-step explanation:
Given,
Distance between two trains = 396 miles
Speed of one train = 95 mph
Speed of other train = 85 mph
Combined speed of trains = 95+85 = 180 mph
Distance = Speed * Time
Time =
Time =
Time = 2.2 hours
It will take 2.2 hours for the trains to meet.
Keywords: speed, distance
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Step-by-step explanation:
PLZ HELP ME, DUE RN!!
The coordinates for where they live are given in the table below. Which friends live exactly halfway between any two other friends? Select the three correct answers.
M (11,5)
J (13,5)
B (22,5)
Ju (4,5)
A (31,5)
Ma (21,5)
Answer:
Step-by-step explanation:
For us to determine the friends that live exactly halfway between any two other friends, we need to determine the midpoint of any two of the coordinates and check whether the coordinate gotten is any of other people coordinates.
Using the coordinates B (22,5) and Ju (4,5), Using the mid point formula;
m(X,Y) = \((\frac{x_2+x_1}{2}, \frac{y_2+y_1}{2})\\\)
X = \(\frac{x_2+x_1}{2}\)
X = \(\frac{22+4}{2}\)
\(X = \frac{26}{2}\\ X = 13\)
\(Y =\frac{y_2+y_1}{2}\\Y = \frac{5+5}{2}\\Y = \frac{10}{2}\\Y = 5\)
\((X, Y) = (13, 5)\)
Hence the friend that live half way of B (22,5) and Ju (4,5) is J(13, 5)
Similarly as above, using the coordinates of M (11,5) and A (31,5)
X = (11+31)/2
X = 42/2
X = 21
Y = (5+5)/2
Y = 10/2
Y = 5
Midpoint of both friends is (21, 5)
Hence the friend that live half way of M (11,5) and A (31,5) is Ma(21, 5)
Also, using the coordinates of J (13,5) and A (31,5)
X = (13+31)/2
X = 44/2
X = 22
Y = (5+5)/2
Y = 10/2
Y = 5
Midpoint of both friends J and A is (22, 5)
Hence the friend that live half way of J (13,5) and A (31,5) is B(21, 5)
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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In western Kansas, the summer density of hailstorms is estimated at about 1.5 storms per 5 square miles. In most cases, a hailstorm damages only a relatively small area in a square mile. A crop insurance company has insured a tract of 9 square miles of Kansas wheat land against hail damage. Let r be a random variable that represents the number of hailstorms this summer in the 9-square-mile tract.(a) Explain why a Poisson probability distribution is appropriate for r.Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are dependent.Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are dependent. Hail storms in western Kansas are a common occurrence. It is reasonable to assume the events are independent.Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent.What is λ for the 9-square-mile tract of land? Round λ to the nearest tenth (b) If there already have been two hailstorms this summer, what is the probability that there will be a total of four or more hailstorms in this tract of land? Compute P(r≥ 4 | r ≥ 2). (Use 4 decimal places.)(c) If there already have been three hailstorms this summer, what is the probability that there will be a total of fewer than six hailstorms? Compute P(r < 6 | r ≥ 3). (Use 4 decimal places.)
Answer:
Step-by-step explanation:
(a) Hail storms in western Kansas are a rare occurrence. It is reasonable to assume the events are independent
(b) The required \(\lambda\) = 1.7 * 10/5 = 3.4
(c) P(r ≥ 4 | r ≥ 2)
= P(r ≥ 4)/P(r ≥ 2)
= {1 - P(r < 4)}/{1 - P(r < 2)}
For Poisson distribution, P(X = x)
\(= \frac{e^{- \lambda} \lambda ^x}{x !}\)
Thus, P(r < 4) = P(r = 0) + P(r = 1) + P(r = 2) + P(r = 3)
= 0.5584
and P(r < 2) = P(r = 0) + P(r = 1) = 0.1468
Thus, P(r ≥ 4 | r ≥ 2) = (1 - 0.5584)/(1 - 0.1468)
= 0.5177
(d) P(r < 6 | r ≥ 3)
= P(3 ≤ r < 6)/P(r ≥ 3)
P(3 ≤ r < 6) = P(r = 3) + P(r = 4) + P(r = 5) = 0.5308
P(r ≥ 3) = 1 - {P(r = 0) + P(r = 1) + P(r = 2)}
= 0.6603
Thus, P(r < 6 | r ≥ 3) = 0.5308/0.6603 = 0.8309
How many feet would a 27-inch object measure?
Answer:
2 feet 3 inches
Step-by-step explanation:
So we know there are 12 inches in one foot. so 27/3= 2 remainder 3. So the answer is 2 feet 3 inches
g(x)= x^2+1 I need help finding the inverse function to this. work must be shown
Answer:
\(\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}\)
Step-by-step explanation:
\(g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1\)
\(g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}\)
xyz + x² - y² when x = 3 and y = 4 and z = 5
Answer:
53
Step-by-step explanation:
xyz + x² - y²
= 3*4*5 + 3^2 -4^2
=60+9-16
=69-16
=53
Answer:
53
Step-by-step explanation:
345+3^2-4^2
3^2=9
4^2=16
3*4*5=60
60+9-16=53
Question 2
No calculations are necessary to answer this question.
3/01
3/02
$1.7420 $1.7360
Date
July GBP Futures
Contract Price
O long; long
Based on the closing prices of July GBP Futures Contract over the 3-day period in March 20XX as shown above, you shou
position on 3/01 and a position on 3/02.
O long; short
O short; short
3/03
short; long
$1.7390
The given information does not provide any clear indication for determining the position that should be taken on 3/01 and 3/02. Without additional information, it is not possible to make a decision. The table only displays the closing prices of the July GBP Futures Contract on different days, and it is unclear what trading strategy or what scenario is being considered. Additional information about the goals and objectives, the market conditions, and other relevant factors would be necessary to make a decision about trading positions.
Use synthetic division to completely factor this polynomial.
3x4 - 14x³ 3x²+54x -40
Which expressions are factors of the polynomial?
-
(3x - 5)
(x + 4)
(x - 4)
(x 2)
(x + 2)
0 (x + 1)
(x - 1)
(3x + 5)
The expressions are factors of the polynomial 3x4 - 14x³ 3x²+54x -40 are
(x + 4)(x + 2)(x + 1)(x - 1)What are polynomials?Generally, To factor a polynomial using synthetic division, we need to find a factor of the polynomial that can be divided into the leading coefficient and the constant term of the polynomial.
In this case, the leading coefficient is 3 and the constant term is -40. One factor of 3 and -40 is (-4)(10).
The complete factorization of the polynomial is 3x⁴ - 14x³ + 3x² + 54x - 40 gives The remainder is 0, so the other factor is (x - 4)(x + 2)(x - 1)(x + 1).
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Use the diagram below to answer the questions.
What are two other names for line WQ?
QW
What is another name for plane V?
What are three points that are collinear? What is a fourth point that is not collinear with those three points?
What is a point that is not coplanar with R, S, and T?
Answer:
Step-by-step explanation:
b-y=55
Given that f(x) = 3^x, identify the function g(x) shown in the figure
Plz help yall
Answer:
B. g(x) = 3^(x - 4) + 2Step-by-step explanation:
As per the graph, g(x) is the translation of f(x) right and up, therefore:
g(x) = f(x - 4) + 2Which is:
g(x) = 3^(x - 4) + 2Correct choice is B
Answer:
g(x) = 3(x + 4) - 2
What is a frequency table? Explain what is meant by the categories and frequencies. What is meant by relative frequency? What is meant by cumulative frequency?
_______________________________________
A. Categories are descriptions of data, such as ages of people living in a city or the annual salaries of professional athletes. They always represent counts or measurements. The frequency of a category is the number of data values in the category.
B. Categories are descriptions of data, such as which brand names of shoes sold in a store or audience ratings of films. They always describe qualities. The frequency of a category is the number of data values in the category.
C. Frequencies are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The category of a frequency is the number of data values in the frequency.
D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The frequency of a category is the number of data values in the category.
* I tried option C its was not it so... ._., Help!? Ty :)
The correct options for the frequency table problem is -
D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest. They can describe qualities or represent counts or measurements. The frequency of a category is the number of data values in the category.
What is frequency table?
A frequency table is just a two-column "t-chart" or table that lists all of the potential outcomes and their corresponding frequencies as seen in a sample.
D. Categories are descriptions of data, such as which grades students received on a test or the heights of trees in a forest.
They can describe qualities or represent counts or measurements.
The frequency of a category is the number of data values in the category.
A frequency table is a table that displays the categories or groups of a set of data along with their corresponding frequencies.
The categories are typically represented in the left column, and the frequencies are listed in the right column.
The categories represent the possible values or ranges of values that the data can take.
For example, in a frequency table of student grades on a test, the categories might be "A," "B," "C," "D," and "F."
The frequency of a category is the number of times that the data falls within that category.
For example, if there are 20 students in a class and 5 of them received an "A" on a test, then the frequency of the "A" category would be 5.
Relative frequency is the proportion or percentage of observations in a category relative to the total number of observations.
It is calculated by dividing the frequency of a category by the total number of observations.
For example, if there are 20 students in a class and 5 of them received an "A" on a test, then the relative frequency of the "A" category would be 5/20 = 0.25 or 25%.
Cumulative frequency is the running total of frequencies for a set of data.
For example, if the frequency of the "A" category is 5 and the frequency of the "B" category is 10, then the cumulative frequency of the "B" category would be 5 + 10 = 15.
It represents the total number of observations that fall within a category and all previous categories.
Therefore, the correct option is D.
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Recall that with base-ten blocks: 1 long 10 units, 1 flat 10 longs, and 1 block 10 flats. What is the fewest number of multibase blocks that can be used to represent the corresponding numeral in the given base?
a. 20 longs in base seven
b. 10 longs in base three
a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.
In base seven, we have the following conversions:
1 long = 1 unit
1 flat = 10 units
1 block = 10 flats
To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.
So, the fewest number of multibase blocks required would be 2 flats.
Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.
b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.
In base three, we have the following conversions:
1 long = 1 unit
1 flat = 3 units
1 block = 3 flats
To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.
So, the fewest number of multibase blocks required would be 3 flats and 1 unit.
Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.
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Determine the value of x. Guys help me please . i need a solution
Answer:
its x = 2 :)
im rlly sorry if its wrong
3. Mrs Ofori-Atta's class will be planting a food garden. Here is the plan they have agreed on. a) What is the total area of the food garden in square metres? E. 600 cm 200 cm 200 cm 200 cm 1,000 cm с
Answer:
2200cm
Step-by-step explanation:
turn to improper fraction 4 1/7
Answer:
29/7
Explanation:
It just is
Simplify 2x^2-7x-4/x^2
Answer:
Option 1
Step-by-step explanation:
\(\frac{2x^2 - 7x-4}{x^2 - 5x+4}=\frac{(x-4)(2x+1)}{(x-4)(x-1)}=\frac{2x+1}{x-1}\)
1. Select all equations that have two solutions.
A.x² = 16
B. 4x² = 0
C. x² = -16
D. 3x + 2 = 14
Ex² - 1 = 24
F) (x + 8) (x - 8) = 0
what type of angles are 2 and 5?
Answer:
Obtuse angle
Step-by-step explanation:
Your angle equals 180, so it would be a Obtuse angle
What is the y-intercept of the graph of the function f(x) = x2 + 3x + 5?
0 (0,-5)
0 (0, -3)
O (0,3)
0 (0,5)
Answer:
(0,5)
Step-by-step explanation:
f(x) = x^2 + 3x + 5
The y intercept is when x =0
f(0) = 0 + 3*0 + 5
f(0) = 5
(0,5)
Is he sus or WHAT? I saw him venting
Answer:
He is so sus.... and cute! ^-^
Step-by-step explanation:
Use the information to answer the question.
Miranda is making a vegetable salad. She adds 2 cups of cucumbers, 4 cups of carrots, and some cherry tomatoes. Then, Miranda puts all of the
salad into 5 bowls. She puts cups into each bowl.
How many cups of cherry tomatoes did Miranda put in the vegetable salad? Enter the answer in the box.
cups
Answer:
Step-by-step explanation:
The equation is poorly written and I cannot unfortunately solve it.