Answers
Answer:
2b,2b +7
Step-by-step explanation:
f(x)=x+7
2b=2b+7
Related Questions
a triangle has two sides of length 18 and 3. what is the largest possible whole-number length for the third side?
Answers
Answer:
20
Step-by-step explanation:
Triangle inequality says that the third side can only be 18-3...15, that is bigger than 15.
And 18+3... 21, that is smaller than 21.
If the third side is 21, the 18 and the 3 will just lay right on top of the 21 and not make a triangle. So it has to be 20 in order to be a whole number.
given a function f : a → b and subsets w, x ⊆ a, then f (w ∩ x) = f (w)∩ f (x) is false in general. produce a counterexample.
Answers
Therefore, f(w ∩ x) = {0} ≠ f(w) ∩ f(x), which shows that the statement f(w ∩ x) = f(w) ∩ f(x) is false in general.
Let's consider the function f: R -> R defined by f(x) = x^2 and the subsets w = {-1, 0} and x = {0, 1} of the domain R.
f(w) = {1, 0} and f(x) = {0, 1}, so f(w) ∩ f(x) = {0}.
On the other hand, w ∩ x = {0}, and f(w ∩ x) = f({0}) = {0}.
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Select the correct answer.
Tracy wants to make a cylindrical model. The height of the cylindrical model, H(V), in inches, is modeled by this
equation, where Vis the volume of the cylindrical model, in cubic inches.
H(V) = 2. 6937
What is the average rate of change of the model's height when its volume changes from 512 cubic inches to
1,000 cubic inches?
The model's height increases by approximately 21. 52 inches for every 1-cubic-inch increase in its volume.
The model's height increases by approximately 0. 022 inch for every 1-cubic-inch increase in its volume.
The model's height increases by approximately 0. 011 inch for every 1-cubic-inch increase in its volume.
The model's height increases by approximately 26. 9 inches for every 1-cubic-inch increase in its volume.
Answers
The average rate of change of the height function is slope of the height function
The model's height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.
How to determine the average rate of change?The height function is given as:
\(H(V) = 2.69\sqrt[3]{V}\)
When V = 512, the function becomes
\(H(512) = 2.69\sqrt[3]{512}\)
\(H(512) = 21.52\)
Similarly;
When V = 1000, the function becomes
\(H(1000) = 2.69\sqrt[3]{1000}\)
\(H(1000) = 26.9\)
The average rate of change is then calculated as:
\(H' = \frac{H(1000) - H(512)}{1000 - 512}\)
This gives
\(H' = \frac{26.9 - 21.52}{1000 - 512}\)
\(H' = \frac{5.38}{488}\)
Evaluate the quotient
\(H' = 0.01102459016\)
Approximate
\(H' = 0.011\)
Hence, the model's height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.
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Answer:
The model’s height increases by approximately 0.011 inch for every 1-cubic-inch increase in its volume.
Step-by-step explanation:
Plato/Edmentum
you find the monthly standard deviation of a stock is 3.10 percent. what is the annual standard deviation of the stock
Answers
The annual standard deviation of the stock is approximately 18.00 percent.
To see why, we can use the fact that the standard deviation scales with the square root of time. Since there are 12 months in a year, we can calculate the annual standard deviation as:
annual standard deviation = monthly standard deviation * sqrt(12)Substituting the given value for the monthly standard deviation, we get:
annual standard deviation = 3.10% * sqrt(12)Simplifying this expression using a calculator, we get:
annual standard deviation ≈ 18.00%Therefore, the annual standard deviation of the stock is approximately 18.00 percent.
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HURRY !!!!!! Which describes the correlation shown in the scatterplot?
Answers
-8 + x - 2 - 5x
Plssss
Answers
Answer:
-4x-10
Step-by-step explanation:
This is the answer if you are simplifying the expression.
Answer:
− 4 − 8
Step-by-step explanation:
if 100 ml of rat poison is mixed with 2,5l of water then what would be the simplified poison water ratio be
Answers
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 1:25 from rat poison to water
Explanation:
100: 2500
10:250
1:25
I hope this helped!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
a rectangular piece of metal is in longer than it is wide. squares with sides in long are cut from the four corners and the flaps are folded upward to form an open box. if the volume of the box is inâ, what were the original dimensions of the piece ofâ metal?
Answers
The original dimensions of the metal piece are:
L = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + tW = 4 * V^(2/3) * t / (2 * V^(2/3) + 1)Metal Box Volume CalculationLet's say the length of the original metal piece is L and the width is W. The squares that are cut from the corners have sides of x. After the flaps are folded upward, the resulting dimensions of the box are L - 2x and W - 2x. The volume of the box is given as:
V = (L - 2x) * (W - 2x) * xAnd it is equal to V = x³.So, we can write:(L - 2x) * (W - 2x) * x = x³
Expanding the left side:LWx - 2Lx² - 2Wx² + 4x³ = x³
LWx - 2Lx² - 2Wx² = 0
LW = 2(L + W)x²
Dividing both sides by x²:LW / x² = 2(L + W)
Since the volume of the box is given as x³, we can substitute x = V^(1/3):LW / V^(2/3) = 2(L + W)
Rearranging:LW = 2(L + W) * V^(2/3)
LW = 2V^(2/3) (L + W)
LW = 2 * V^(2/3) * (L + W)
Since the original metal piece was longer than it was wide (L > W), we have:L = W + t for some t > 0.
Substituting this into the above equation:W (W + t) = 2 * V^(2/3) * (W + t + t)
Expanding:W² + Wt = 2 * V^(2/3) * (2t + W)
W² = 2 * V^(2/3) * 2t + 2 * V^(2/3) * W
W² = 4 * V^(2/3) * t + 2 * V^(2/3) * W
Dividing both sides by (2 * V^(2/3) + 1):W^2 / (2 * V^(2/3) + 1) = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + 2 * V^(2/3)
* W / (2 * V^(2/3) + 1)
W * (2 * V^(2/3) + 1) = 4 * V^(2/3) * t + 2 * V^(2/3) * W
W = 4 * V^(2/3) * t / (2 * V^(2/3) + 1)
L = W + t = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + t
So the original dimensions of the metal piece are:L = 4 * V^(2/3) * t / (2 * V^(2/3) + 1) + t
W = 4 * V^(2/3) * t / (2 * V^(2/3) + 1)
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Sally is 10 years older than Tim. In 8 years, the sum of their ages will be 40. Determine how old Sally and Tim are now
Answers
Answer: SALLY==A
TIM====B
A=B+10
A+8+B+7=40
A+B=40-10
Step-by-step explanation: hope you understand
in problem 1 you are given the values of the first five partial sums of a series. is the series an alternating series? if not, why?
Answers
The given series, 2, 1, 3, 2, 4, is not alternating series with given partial sum.
A series in which the terms' signs alternate between positive and negative is known as an alternating series. The signs of the words in the given series—2, 1, 3, 2, 4—do not rotate regularly. The signs change between the first two phrases (2 and 1), but they do not change between the following terms. The alternating pattern is broken by the third term, 3, which is positive. As a result, the described series does not satisfy the requirements of an alternating series with given partial sum.
Let's examine the signs of the terms in the series to further demonstrate this. The initial term, 2, is favourable. The next term, 1, is unfavourable. Until now, the indicators have changed. The third term, 3, on the other hand, is positive, breaking the alternating pattern. The third term does not alternate with the fourth term, 2, which is positive once more. In line with the fourth term, the fifth term, 4, is also good. Because the series' sign alternation is inconsistent, it cannot be considered an alternating series.
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Complete Question: You are given the first five partial sums of a series' values in problem 1. Is the series a recurring one? Why not, then?
2,1,3,2,4
Given secant of theta is equal to the square root of 6 over 2 comma what is cos?
Answers
The value of cos θ is equal to 1/3 when sec θ= √6/2.
Since we are given the value of secant of theta, we can use the relationship between secant and cosine to find the value of cosine of theta.
Let's start by recalling the definitions of secant and cosine functions. The secant of an angle is defined as the reciprocal of the cosine of that angle.
In other words, secθ = 1/cosθ
Conversely, the cosine of an angle is defined as the reciprocal of the secant of that angle.
cosθ = 1/secθ
We are given that secθ= √6/2
We can use this value to find cosθ= 1/secθ
cosθ = 1 / (√6/2)
To simplify this expression, we can multiply both the numerator and denominator by 2/sqrt(6).
cosθ = ((2/√6) / (√6/2) * (2/√6))
cosθ = (2/√6) / 1
cosθ = (2/√6 * √6/√6)
cosθ = 2/6 = 1/3
Therefore, the value of cosθ is equal to 1/3 when secθ = sqrt(6)/2.
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What is the lateral area of the cone to the nearest whole number? The figure is not drawn to scale.
*
Captionless Image
34311 m^2
18918 m^2
15394 m^2
28742 m^2
Answers
Answer:
π(70)(√(70^2 + 50^2)) = π(700√74) m^3
= 18,918 m^3
Kim can mow the greens at the golf course twice as fast as I can. Working together, we can mow them in 4 hours. How long will it take me to mow the greens alone?
Answers
Answer:
12 hours
Step-by-step explanation:
Let x hours be the time it will take you to mow the greens at the golf course.
Since Kim can mow twice as fast, it will take Kim x / 2 hours to mow the greens.
In 1 hour, you will mow 1 / x of the greens
in 1 hour, Kim will mow 1 / (x / 2) of the greens= 2 / x of the greens
In 4 hours, you will mow 4 * 1 / x of the course = 4 / x of the greens
In 4 hours, Kim will mow 4 * 1 / (x / 2) of the course = 4 / (x / 2) = 8 / x of the greens.
Since we are dealing in fraction, the sum of the amount of greens that they would individually mow in 4 hours should be 1. i.e
(4 / x) + (8 / x) = 1
12 / x = 1
Solve for x;
x = 12
Therefore, it will take you 12 hours to mow the greens alone.
a binding less than or equal to (≤) constraint in a maximization problem meansa. the variable is up against an upper limit. b. the minimum requirement for the constraint has just been met. c. another constraint is limiting the solution. d. the shadow price for the constraint will be positive.
Answers
The variable is up against an upper limit. in a maximization problem, a binding less than or equal to (≤)
constraint indicates that the variable associated with the constraint has reached or is at its upper limit. It implies that the variable cannot increase further without violating the constraint.
This constraint acts as a restriction that limits the potential values the variable can take in the optimization problem.
When a constraint is binding, it means that the optimal solution to the problem is achieved when the constraint is satisfied with equality. In the context of a maximization problem,
if a variable is up against an upper limit and the constraint is binding, it suggests that the variable is already maximizing its value within the given constraint.
In contrast, if the constraint is not binding, it means that the variable has not reached its upper limit and has the potential to increase further while still satisfying the constraint. In such cases, the variable can be increased to improve the objective function value and optimize the problem further.
It's important to note that the shadow price, also known as the dual value or marginal value, represents the rate of change of the objective function with respect to a constraint. It indicates the sensitivity of the objective function to changes in the constraint.
The sign of the shadow price is not determined by the direction of the constraint (≤ or ≥), but rather by the problem formulation and the specific constraints and variables involved.
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reverse mean higher GCSE questions.
Pete has seven Shetland ponies. They have a mean height of 116cm.
Pete buys an eighth pony. The height of this pony is 128cm.
Find the mean height of all eight ponies.
Answers
Answer:
dat it
116cm times 7=812
128cm times 8=1024
1024-812=212cm
3. Find the values of x, y, and z. *
125°
Answers
Answer:
Your question is Incomplete....
Here is another problem
Answers
Answer:
Step-by-step explanation:
Answer:
all
Step-by-step explanation:
2x3=6 3x3=9 so 6:9
2x4=8 3x4=12 so 8:12
2x2=4 3x2=6 so 4:6
How many triangles are in a pentagon with a star inside
Answers
Answer:
10
Step-by-step explanation:
5 outside the star 5 inside the star
Cara earn a bae pay of $1,800 per month at a car dealerhip plu a commiion of 6% of her ale. What are Cara' total earning in a month in which he ale $40,000 worth of merchandie?
Answers
Using the concept of percentages the total earning of Cara can be found to be $4200.
What are percentages?Percentage is a number expressed as a fraction of 100. The % sign means to divide the number by 100.
How to solve percentages?Cara's earning = commission + basic salary
basic salary = $1800 (this is constant)
commission = 6% of $40000
= (6/100)*40000
= $2400
Cara's earning = 1800 + 2400
Hence, her earning is $4200
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In order to solve the equation, what must you do?
3x=9
divide by 3 on both sides of the equation
multiply by 3 on both sides of the equation
Divide by 9 on both sides of the equation
multiply by 9 on both sides of the equation
add 3 to both sides of the equation
subtract 3 to both sides of the equation
Answers
☽------------❀-------------☾
Hi there!
~
Answer:
Divide both sides by 3.
\(3x=9\)
\(\frac{3x}{3} = \frac{9}{3}\)
\(x = 3\)
❀Hope this helped you!❀
☽------------❀-------------☾
A bag contains:
.
5 red marbles
6 blue marbles
3 green marbles
4 black marbles
• 2 yellow marbles
A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction
for the number of times a green or black marble will be drawn?
F 14
G 65
H7
J 35
Answers
Answer:
j.35 times
Step-by-step explanation:
self explanatory
what are the numbers for h?
Answers
Answer:
0,1
2,2
4,3
6,4
Step-by-step explanation:
Some Examples
4 = 1/2 (6) + 1
4 = 3 + 1
4=4
----------
2 = 1/2 (2) + 1
2 = 1 + 1
2 = 2
h
0
2
4
6
...................
in the calculations shown, what will the units of the final answer be? 18 meters/second x 3600 secons/1 hour x 1 mile/ 1609meters A.meters/hour B. miles/second C. meters/second D.miles/hour
Answers
Answer:
D. miles/hour
Step-by-step explanation:
The units analysis tells you the units are ...
\(\dfrac{\text{m}}{\text{s}}\times\dfrac{\text{s}}{\text{h}}\times\dfrac{\text{mi}}{\text{m}}=\boxed{\dfrac{mi}{h}}\)
Units of meters and seconds cancel, leaving miles/hour.
Please help me
Write an equation to represent the following statement
j is 14 less than 22.
Solve for j.
j =
Answers
Answer:
J is 8. (J= 22-14) So that would simplify to (J= 8)
Step-by-step explanation:
hope this helps :)
J is 8. (J= 22-14) So that would simplify to (J= 8)
Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answers
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.
What fraction completes the equation using a like denominator when adding 1/3 + 3/6 ?
1/3 + 3/6 = ?/? + 3/6
Answers
Answer:
The answer is 2/6 .
Step-by-step explanation:
In order to make the denorminator the same, you have to multiply both numerator and denorminator by 2 :
\( \frac{1 \times 2}{3 \times 2} \)
\( = \frac{2}{6} \)
Which of these Rational Numbers is the least?
2 1/8
3.3
-5
0
-5.5
1/2
21/12
Answers
Answer:
-5.5.
Step-by-step explanation:
The negative numbers are less than the positive and -5.5 is less than -5.
HELP! Consider the quadratic equation x2+7x+8=0 . Which of the following is the correct form after substituting a, b, and c into the Quadratic Formula? Responses x=−7 ±(7)2−(1)(8)√2(1) x=−7 ±(7)2−(1)(8)√2(1) x=−7 ±(7)2−4(1)(8)√2(1) x=−7 ±(7)2−4(1)(8)√2(1) x=7 ±(7)2−4(1)(8)√2(1) x=7 ±(7)2−4(1)(8)√2(1) x=(7)2−4(1)(8)√2(1) 100 points!!
Answers
The option that is the correct form after substituting a, b, and c into the quadratic formula is; x = (-7 ± √(7² - 4·(1)·(8)))/((2)·(1))
What is the quadratic formula?The quadratic formula which can be used to solve the quadratic equation of the form f(x) = a·x² + b·x + c = 0
The quadratic formula is; x = (-b ± √(b² - 4·a·c))/(2·a)
The quadratic equation x² + 7·x + 8 = 0, evaluated using the quadratic formula can be expressed as follows;
The values of a, b, and c obtained from the specified quadratic equation are; a = 1, b = 7, and c = 8, therefore;
x = (-7 ± √(7² - 4×1×8))/(2×1)
The correct option is therefore; x = (-7 ± √(7² - 4×1×8))/(2×1)
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one student from the school will be selected at random. what is the probability that the student is in the age-group of 6 to 8 years given that the selected student responded joy?
Answers
Given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty. The probability is computed by dividing the total number of possible outcomes by the number of possible ways the event could occur. Probability and odds are two distinct ideas. Odds are calculated by dividing the likelihood of an event by the likelihood that it won't.So, the likelihood that a pupil is between the ages of 6 and 8 can be calculated using the techniques below:
Step 1: 89 pupils out of a possible 200 answered with joy, as shown in the table.Step 2 - It is also stated that there were a total of 28 students in the age range of 6 to 8 years who answered positively.Step 3 - Accordingly, the likelihood that the pupil belongs to the 6 to 8-year-old age range is:P = 28/89
Therefore, given that the chosen kid gave a joy response, the probability that the student belongs to the age range of 6 to 8 years is 28/89.
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The complete question is given below:
Students at a local elementary school were shown a painting and asked which emotion—joy, happiness, love, or anger—they felt by looking at the painting. The students were classified by their age. The following table summarizes the responses of the students by age group. One student from the school will be selected at random. What is the probability that the student is in the age group of 6 to 8 years given that the selected student responded with joy?
The total distance from earth to the sun would be written as 1.0346 x 1022 7 points
miles from earth. What would this be in standard notation? *
Answers
Answer:
1.0346 x \(10^{22}\)
Since the exponent of the scientific notation is positive, move the decimal point 22 places to the right.
10,346,000,000,000,000,000,000
The standard notation will be 10346000000000000000000.
It is given that total distance from earth to sun is 1.0346 × \(10^{22}\)miles.
What will be the standard notation for this ?
What do you mean by the standard notation of a number ?
Standard notation of a number is when a number is written with only number digits i.e., the standard notation for 2 × \(10^{2}\) will be 200.
The total distance from earth to the sun would be written as ;
1.0346 x \(10^{22}\) miles.
We need to put the decimal point 22 places right ;
So , It can be written as ;
10346000000000000000000
Thus , standard notation will be 10346000000000000000000.
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