If the least value of n is 4, then the inequality best shows all the possible values of n is, n ≥ 4. So Option B is correct
What are inequalities?Inequalities are the comparison of mathematical expressions, whether one quantity is greater or smaller in comparison to another quantity.
We use these symbols to represent inequalities, '>' , '<', '≥', '≤'
Given that,
The least value of n is 4,
Inequality representation = ?
It is known that,
Least value of n is 4
So, Minimum possible value of n is 4
Maximum value of n should be more than 4,
In order to satisfy the condition,
So,
n > 4
By combining both the things,
It can be written as,
n ≥ 4
Hence, the best inequality representation is n ≥ 4
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The variable x represents a value. Which value of x makes 3(x + 6) − 10 = 17 a true statement?
Answer: x=3
Step-by-step explanation:
3(x+6)-10=17
3x+18-10=17
3x+8=17
3x=17-8
3x=9
x=3
Find two numbers whose product 9.8 =72 and whose sum is -38
Answer:Let's call the two numbers x and y. We know that:
xy = 72
x + y = -38
We can use the first equation to solve for one of the variables in terms of the other:
x = 72/y
Then, we can substitute this expression into the second equation:
72/y + y = -38
y^2 + 72 = 38y
y^2 - 38y + 72 = 0
This is a quadratic equation that can be solved using the quadratic formula:
y = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -38, c = 72.
Plugging in these values, we get:
y = (38 ± √(38^2 - 4(1)(72))) / 2(1)
y = (38 ± √(1444)) / 2
y = (38 ± 38) / 2
So, we have two solutions for y:
y = 38 / 2 = 19
y = -38 / 2 = -19
With either of these values for y, we can use the first equation to solve for x:
x = 72/y = 72/19 = 3.8
or
x = 72/-19 = -3.8
So, the two numbers whose product is 72 and whose sum is -38 are x = 3.8 and y = 19, or x = -3.8 and y = -19.
Step-by-step explanation:
Let's call the two numbers x and y. We know that:
xy = 72
x + y = -38
We can use the first equation to solve for one of the variables in terms of the other:
x = 72/y
Then, we can substitute this expression into the second equation:
72/y + y = -38
y^2 + 72 = 38y
y^2 - 38y + 72 = 0
This is a quadratic equation that can be solved using the quadratic formula:
y = (-b ± √(b^2 - 4ac)) / 2a
where a = 1, b = -38, c = 72.
Plugging in these values, we get:
y = (38 ± √(38^2 - 4(1)(72))) / 2(1)
y = (38 ± √(1444)) / 2
y = (38 ± 38) / 2
So, we have two solutions for y:
y = 38 / 2 = 19
y = -38 / 2 = -19
With either of these values for y, we can use the first equation to solve for x:
x = 72/y = 72/19 = 3.8
or
x = 72/-19 = -3.8
So, the two numbers whose product is 72 and whose sum is -38 are x = 3.8 and y = 19, or x = -3.8 and y = -19.
Which expressions are equivalent to 4m+4n+10?
Select all that apply.
Options are in screenshot
Answer: 3 , 4 and 5 are correct options
Step-by-step explanation:
Bryant sleeps for at least 6 hours each night, and up to 9 hours when he can sleep in. If you write down the amount of time he spends sleeping every night, what kind of sequence will you see?
Step-by-step explanation:
If you write down the amount of time Bryant spends sleeping every night, you will see a sequence of numbers between 6 and 9 hours inclusive.
The radius of a cone is decreasing at a constant rate of
1 meters per minute, and the volume is decreasing at a rate of 61 cubic meters per minute. At the instant when the radius of the cone is 2 meters and the volume is 41 cubic meters, what is the rate of change of the height? The volume of a cone can be found with the equation V= 1/3pi r^2h. Round your answer to three decimal places.
The rate of change of the height is approximately -1.67 meters per minute.
The volume of a cone can be written as V = (1/3)πr²h.
Differentiating with respect to time t, we get
dV/dt = (1/3)π (2rh dr/dt + r² dh/dt)
Given that the radius is decreasing at a constant rate of 1 meter per minute and the volume is decreasing at a rate of 61 cubic meters per minute, we can substitute these values into the equation to find dh/dt:
61 = (1/3)π (2rh + r² dh/dt)
dh/dt = (61 - (2rh)) / (r² * (1/3)π)
Substituting in the given values of r = 2 meters and h = 41 cubic meters, we get:
dh/dt = (61 - (2 * 2 * 41)) / (2² * (1/3)π)
dh/dt = (61 - 164) / (4 * (1/3)π)
dh/dt = -103 / (4 * (1/3)π)
Approximating π to 3.14, we get
dh/dt = -103 / (4 * (1/3) * 3.14)
dh/dt ≈ -1.67
So the rate of change of the height is approximately -1.67 meters per minute.
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35%of students wear glasses.There are 14 students who wear glasses.How many pupils are there in the class?
Answer: 40 pupils
Step-by-step explanation:
35 14
------- = --------
100 ?
find the denominator.
multiply 14 and 100:
14 x 100 = 1400
divide 1400 by 35
1400/35 = 40
Therefore there are 40 students
answer please write an equation
The equation of the line that runs through the point (0,-1) and (1,2) in slope-intercept form is y = 3x - 1.
What is the equation of line of the graph?The formula for equation of line is expressed as;
y = mx + b
Where m is slope and b is y-intercept.
From the diagram, the line runs through the point (0,-1) and (1,2).
First, we determine the slope of the line
Slope m = change in y / change in x
Slope m = (2 - (-1)) / (1 - 0)
Slope m = (2 + 1) / (1 - 0)
Slope m = 3/1
Slope m = 3
Next, plug the slope m = 3 and point (0,-1) into the point slope formula.
y - y₁ = m( x - x₁ )
y - (-1) = 3( x - 0 )
y + 1 = 3x - 0
y + 1 = 3x
Subtract 1 from both sides
y + 1 - 1 = 3x -1
y = 3x - 1
Therefore, the equation of the line is y = 3x - 1.
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rent an apartment that costs $1400 per month during the first year, but the rent is set to go up $70 per year. What would be the monthly rent during the 12th year of living in the apartment?
Answer:
70 * 12 = 840
1400 + 840 = 2240
$2,240 monthly
Step-by-step explanation:
Hope it helps! =D
Answer:
2170
Step-by-step explanation:
Write out the first 3 terms:
a 1 = 1400 ← rent in 1st year
a 2 = 1470 ← rent in 2nd year
a 3 = 1540 ← rent in 3rd year
Arithmetic Sequence: d=70
Explicit Formula:
an = a 1+(n−1)d
a 12 = 1400+(12−1)(70)
a 12 = 2170
Patient who weighs 68kg and is 60 inch tall
The body mass index of the patient who weighs 68kg and is 60 inch tall is 29.3 kg/m².
This question is incomplete, the complete question is;
What is the body mass index IBM of a patient who weighs 68kg and is 60 inch tall?
What is the body mass index IBM of the patient?Body mass index IBM is simply a measure of body fat of a person.
Its is calculated using the mass and height of a person.
It can be calculated using the formula;
BMI = Mass (kg) / Height² (m)
Given the data in the question;
Mass of the patient = 68 kgHeight = 60 inch = ( 60/39.37)m = 1.524mBMI = ?Plug the given values into the above formula and simplify.
BMI = Mass (kg) / Height² (m)
BMI = 68kg / ( 1.524m )²
BMI = 68kg / 2.322576 m²
BMI = 29.3 kg/m²
Therefore, the BMI of the patient is 29.3 kg/m².
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Which event will have a sample space of S = {A, B}?
Flipping a fair, two-sided coin
Rolling a six-sided die
Spinning a spinner with three sections
Choosing a tile from a pair of tiles, one with the letter A and one with the letter B
The event with a sample space of S = {A, B} is (d) choosing a tile from a pair of tiles, one with the letter A and one with the letter B.
How to determine the event from the sample spaceFrom the question, we have the following parameters that can be used in our computation:
Sample space of S = {A, B}
In probability, the sample space is the set of all possible outcomes of a random event.
In the case of choosing a tile from a pair of tiles, one with the letter A and one with the letter B, there are only two possible outcomes: A or B.
Therefore, the sample space S is {A, B}.
In contrast, for the other events listed:
Flipping a fair, two-sided coin: the sample space would be {heads, tails}Rolling a six-sided die: the sample space would be {1, 2, 3, 4, 5, 6}Spinning a spinner with three sections: the sample space would be {1, 2, 3}In each of these events, there are more than two possible outcomes, so the sample space is a set with more than two elements.
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There are 35 fish in a tank, and 40% of the fish are orange.
How many of the fish are orange?
A. 4 fish
B. 5 fish
C. 14 fish
D. 21 fish
Answer:
C
Step-by-step explanation:
Converting 40% into a decimal would be .40
Since you want to find 40% of 35, we would multiply
(35)(.40) = 14
Please help me, 25 points!
Answer:
Option B
Step-by-step explanation:
A survey was carried out to find the favorite beverage of a particular telemarketing company having 2,000 employees. To carry out this survey, two groups of 100 employees each were randomly selected and asked to vote for their favorite beverage. The results obtained are given in the table shown below.
Beverage Group A Group B
Coffee 42 44
Green Tea 9 11
Soft Drinks 28 22
Energy Drinks 21 23
Which of the following statements about the data above is true?
According to the information in the table, the correct options are: The estimated number of employees who would have voted for coffee is higher when based on the results of Group B rather than Group A. (option B).
How to identify the correct sentence?To identify the correct option that matches the information in the survey table, we must read each of the options and compare it with the information in the table to establish one as true.
Based on the above, we can infer that the correct option is option B because the number of employees who voted for coffee in group B is greater than the number of employees who voted for coffee in group A.
Note: This question is incomplete because there is some information missing. Here is the complete information:
Options:
A. The estimated number of employees who would have voted for green tea is higher when based on the results of Group A rather than Group B.
B. The estimated number of employees who would have voted for coffee is higher when based on the results of Group B rather than Group A.
C. The estimates for both groups show an equal number of employees would have voted for coffee.
D. The estimated number of employees who would have voted for coffee is higher when based on the results of Group A rather than Group B.
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5X - 2.5 + 7X - 3 = ______ (2X - 1)
Answer:
12x-5.5 all you have to do is simplify
If Hayden uses 4 cups of flour and 5 cups of sugar how many cup cakes will he eat?
Proportionately, if Hayden uses 4 cups of flour and 5 cups of sugar to make cupcakes, he will eat 20 cupcakes.
What is proportion?Proportion refers to the relative size or ratio of one value compared to another quantity.
Proportions are represented as fractional values with decimals, percentages, or fractions.
The quantity of flour for 1 cupcake = 1/5 cups
The quantity of sugar for 1 cupcake = 1/4 cups
The quantity of flour Hayden uses = 4 cups
The number of cupcakes from 4 cups = 20 (4 ÷ 1/5)
The quantity of sugar Hayden uses = 5 cups
The number of cupcakes from 5 cups of sugar = 20 (5 ÷ 1/4)
Thus, according to the proportion of cupcake ingredients to the available quantities of ingredients, Hayden will make and eat 20 cupcakes.
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Question Completion:A cupcake requires 1/5 cup of flour and 1/4 cup of sugar to make.
CAN SOMEONE HELP WITH THIS QUESTION?✨
the equation of the tangent line to the curve y = 2 sin x at the point (π/6, 1) will be y = √3 x + 0.093.
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
y = mx + b
1) m = slope of the tangent line = derivative at the point (pi/6, 1)
Function: y = 2sinx
Derivative: y ' = 2cosx
evaluate at x = pi/6=> y ' = 2cos(pi/6) = √3
2) equation using the slope and the point (pi/6, 1)
y - 1 = √3 ( x - pi/6 )
y = √3 x - √3(pi/6) +1 =√3 x + 0.093
y = √3 x + 0.093
m = √3, b = 0.093
Therefore, y = √3 x + 0.093 will be the equation of the tangent line to the curve y = 2sin x at point (π/6, 1).
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With only a part-time job and the need for a
professional wardrobe, Rachel quickly
maxed out her credit card the summer after
graduation.
With her first full-time paycheck in August,
she vowed to pay $250 each month toward
paying down her $8,281 outstanding
balance and not to use the card.
The card has an annual interest rate of 16%.
How long will it take Rachel to pay for her
wardrobe? Should she shop for a new card?
Why or why not?
Regarding shopping for a new card, it would depend on the terms and conditions of the new card, including the annual interest rate and any fees. Rachel should compare the options available and weigh the benefits and drawbacks of each before making a decision.
How to solve the problem?The length of time it will take Rachel to pay off her credit card balance can be calculated by dividing the outstanding balance by the monthly payment amount and then adding the number of months needed to pay off the balance.
Balance = $8,281
Monthly payment = $250
Annual interest rate = 16%
To calculate the length of time it will take to pay off the balance, we would first need to calculate the monthly interest rate, which can be done by dividing the annual interest rate by 12:
Monthly interest rate = 16% / 12 = 1.33%
Next, we can calculate the monthly payment amount, including the interest:
Monthly payment amount = $250 + ($8,281 * 1.33%)
By continually subtracting the monthly payment amount from the balance and adding the monthly interest, we can determine the length of time it will take to pay off the balance.
Regarding shopping for a new card, it would depend on the terms and conditions of the new card, including the annual interest rate and any fees. Rachel should compare the options available and weigh the benefits and drawbacks of each before making a decision.
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At a business meeting at Panera Bread, the bill for two cappuccinos and three house lattes was $14.55. At another table, the bill for one cappuccino and two house lattes was $8.77. How much did each type of beverage cost?
The cost of each Cappuccino and each house lattes was $2.79 and $2.99 respectively
What is an equation?An equation is an expression that uses mathematical operations to show the relationship between numbers and variables. Types of equations are linear, quadratic, cubic and so on.
Let x represent the cost of each cappuccino and y represent the cost of each house lattes.
Two cappuccinos and three house lattes was $14.55, hence:
2x + 3y = 14.55 (1)
Also:
One cappuccino and two house lattes was $8.77, hence:
x + 2y = 8.77 (2)
From both equations:
x = 2.79, y = 2.99
The cost of each Cappuccino and each house lattes was $2.79 and $2.99 respectively
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Write a system of linear inequalities represented by the graph.
The inequalities representing the graph are y ≥ - 3x + 2 and y ≥ (2/3)x - 1.
What are inequalities and their types?Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.
The symbol a < b indicates that a is smaller than b.
When a > b is used, it indicates that a is bigger than b.
a is less than or equal to b when a notation like a ≤ b.
a is bigger or equal value of an is indicated by the notation a ≥ b.
First, we have to determine the two lines.
Line₁.
(0, 2) and (1, - 1).
m = (- 1 - 2)/(1 - 0).
m = - 3.
- 1 = - 3(1) + b.
b = 2.
y = - 3x + 2.
Line₂.
(0, - 2) and (3, 0).
m = (0 + 2)/(3 - 0).
m = 2/3.
0 = (2/3)(3) + b.
b = - 1.
y = (2/3)x - 1.
So, The two inequalities are y ≥ - 3x + 2 and y ≥ (2/3)x - 1.
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Determine whether the mean, median, or mode would be the best choice to describe the center of the following set of data. An elementary school has 92 first graders. They take a vocabulary test that estimates the number of vocabulary words they know. Most of the first-graders had a good start on language acquisition and knew between about 15,000 and 20,000 words. However, there were a few first-graders who were a little behind in language acquisition and only knew about 7,000 words. Would it be best to use the mean, median, or mode to describe the number of vocabulary words that are understood by the first-graders?
Answer:
Median
Step-by-step explanation:
The best measure of center in this case would be the median, as the presence of a few outliers (first-graders who were behind in language acquisition) would greatly affect the mean, while the median would provide a better representation of the typical vocabulary knowledge of first-graders in the group.
At a coffee shop, the first 100 customers'
orders were as follows.
Small
Medium
Large
Hot
5
48
22
Cold
8
12
5
What is the probability that a customer ordered
a large given that he or she ordered a hot drink?
Rounded to the nearest percent, [ ? ]%
Enter
Answer:bro chilll
Step-by-step explanation:
You have a credit card and on January 1 the balance is $700. On January 8th you purchase a new sofa for $1100. On the 14th you make a payment of $550. On the 22nd you make a purchase of lamps and other household items for $475. What is the average daily balance for January?
Answer:pls brainliest :D
Step-by-step explanation:
To find the average daily balance for January, we need to find the total balance for the month and divide by the number of days in the month.
Starting balance: $700
Sofa purchase: $1100
Payment on January 14th: $550
Lamps and household items purchase: $475
Total balance: $700 + $1100 + $475 - $550 = $1825
There are 31 days in January, so the average daily balance is: $1825 / 31 = $58.87.
Determine the interval(s) for which the function shown below is decreasing.
The intervals where the function is decreasing are:
(-3, -1) and (4, ∞)
In which intervals is the function decreasing?The function is decreasing when, reading from left to right, the graph goes dondwards.
Now let's find the intervals where that happens.
First that happens between x = -3 and x = 1
And then the function starts decreasing again at x = 4 and keeps decreasing.
Then the intervals where the function decreases are:
(-3, -1) and (4, ∞)
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which answer is right
Answer:
[tex]10^{7}[/tex]
Step-by-step explanation:
using the rule of exponents
• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]
then
10² × [tex]10^{5}[/tex] = [tex]10^{(2+5)}[/tex] = [tex]10^{7}[/tex]
Answer:
[tex]10^{7}[/tex]
Step-by-step explanation:
[tex]10^{2}*10^{5}=10^{2+5}=10^{7}[/tex]
Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. Coming back later in the day, at the same boat speed, took her 10 min. If the current in that part of the river is 2 km per hour, what was her boat speed in still water?
If Jane took 30 min to drive her boat upstream to water-ski at her favorite spot. her boat speed in still water is;3 km/h.
How to find the speed?Let's x represent the Jane's boat speed in still water
Upstream, her speed was x - 2 km/h.
Downstream, her speed was x + 2 km/h.
Let's d represent the distance between the start and end point
Let the time it takes to cover d at a speed of x - 2 km/h= 30 min.
Let the time it takes to cover d at a speed of x + 2 km/h= 10 min.
So we have:
d / (x - 2) = 30 min and
d / (x + 2) = 10 min.
Multiplying both sides of each equation
d * x - 2d = 30 * (x - 2)
d * x + 2d = 10 * (x + 2).
Adding the two equations and solve for x
2d * x = 40 * x + 20
20 * x = 40 * x + 20
20 * x = 60 * x
x= 3 km/h
Therefore Jane's boat speed in still water is 3 km/h.
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PLEASE HELP ME AND PLEASEEE PLEASE SHOW YOUR WORK FOR FULL CREDITT!! ILL RATE U 5 STAR AND GIVE U THANKS AND BRAINLIEST ANSWERR
The equation of the horizontal asymptote of f(x) is given as follows:
x = 5/4.
How to obtain the horizontal asymptote of f(x)?The rational function f(x) in the context of this problem is defined as follows:
f(x) = (-4x² + 54x - 47)/(4x - 5).
The horizontal asymptote of a function happens at a value of x which is outside the function's domain.
For a rational function, the denominator cannot be zero, hence the value of x that represents the horizontal asymptote of f(x) is obtained as follows:
4x - 5 = 0
4x = 5
x = 5/4.
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anwser this -(-5)-(+10)-(-8)
Answer: 3
Step-by-step explanation:
Answer:
The answer to the expression is -5 + 10 - 8 = -3.
Step-by-step explanation:
PLS HELP! Question- The two figures shown below are similar. What is the value of x?
From the properties of similarity, the value of x is 24.
What is similarity of shapes?Euclidean geometry states that two objects are comparable if they have the same shape or the same shape as each other's mirror image. More specifically, by uniformly scaling (enlarging or decreasing), maybe with additional translation, rotation, and reflection, one can be created from the other. This indicates that one object may be properly aligned with the other object by rescaling, moving, and reflecting it. When two things are comparable to one another, one is consistent with the outcome of a specific uniform scaling of the other.
By comparing corresponding sides of the shapes, we get that
6/9 = 14/21 = 2/3
So that,
16/x =2/3
multiply both sides by 3/2 we get,
(16/x)*(3/2) = 1
multiply both sides by x we get,
16*3/2 = x
⇒ x = 48/2
⇒ x = 24
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Your current CD matures in a few days. You would like to find an investment with a higher rate of return than the CD. Stocks historically have a rate of return between 10% and 12%, but you do not like the risk involved. You have been looking at bond listings in the newspaper. A friend wants you to look at the following corporate bonds as a possible investment. A 5-column table with 2 rows. Column 1 is labeled Bond with entries A B C 7 and one-half 15, X Y Z 7 and three-fourths 15. Column 2 is labeled current yield with entries 7.5, 8.4. Column 3 is labeled volume with entries 128, 17. Column 4 is labeled Close with entries 104 and three-fourths, 100 and one-half. Column 5 is labeled Net change with entries blank, + one-fourth. What is the annual interest you would earn on each bond? a. ABC 128; XYZ 17 b. ABC 7.5; XYZ 8.4 c. ABC 104Three-fourths; XYZ 100One-half d. ABC 7One-half; XYZ 7Three-fourths
Answer:
The annual interest you would earn on each bond depends on the bond's coupon rate, which can be calculated by dividing the bond's current yield (Column 2) by 100. For Bond A and C, the coupon rate would be 7.5%, and for Bond X and Y, it would be 8.4%. The annual interest you would earn on each bond would be the coupon rate multiplied by the bond's face value (Column 1). For Bond A and C, the annual interest would be 7.5% * $15 = $1.125, and for Bond X and Y, it would be 8.4% * $15 = $1.26.
Andrew can paint the neighbor's house 4 times as fast as Bailey. The It would take Andrew days year Andrew and Bailey worked together, it took them 5 days. How long would it take each to paint the house?
It would take Andrew ____ days.
It would take Bailey _____ days.
(Simplify your answers. Type an integer, a fraction, or a mixed number.)
It took Bailey 45 days to paint the house and Andrew 11.25 days to paint the house.
What is a system of equations?A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Given that, Andrew can paint the neighbor's house 4 times as fast as Bailey. Andrew and Bailey worked together, it took them 5 days.
Let the time it took Bailey to paint the house be x days, and the time it took Andrew to paint the same house be y. Then,
Establishing the system of equation,
1/x + 1/y = 1/9. . . (1)
x = 4y. . . (2)
Putting (2) into (1) gives,
1/4y + 1/y = 1/9
5/4y = 1/9
4y = 5 x 9 = 45
y = 11.25
x = 4(11.25) = 45
Hence, it took Bailey 45 days to paint the house and Andrew 11.25 days to paint the house.
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