Answer: a = 70%
b 6.5 times
c green = 16%
2. ????? Very poorly worded question
2. a 54%
b. 46%
c. 70%
d. 27%
Step-by-step explanation:
Students in a class were asked to tell their favorite color.
a. What percent said red, blue, or yellow? __% said red, blue, or yellow.
red is .26
blue is .40
yellow is .04
---------------------
.70 = 70 %
b. How many times more students said red than yellow?
red .26
yellow is .04
.26/.04 = 6.5 times
c. What percent of students said green? __% said green.
The circle must total 100 %
Red + blue + yellow + purple + green = 100
26+ 40 + 4 + 14 + green = 100
84 + green = 100
Subtract 84 from each side
84-84 + green = 100-84
green = 16
2. Which two methods could be used to find the percent of students who said green?
We can either convert the percents to decimals or the decimals to percents
The total percents must equal 100%
The total decimal must equal 1
a. Find the sum of the percents given in the circle graph.
If they only want the ones written on the graph as percents
(14+40) = 54%
b. Find the sum of the percent forms of the numbers given in the circle graph. Subtract the result from 100%.
100 - 54% = 46%
c. Find the sum of the decimal forms of the numbers given in the circle graph. Subtract that sum from 1. Change the result to a percent.
.26+.04 = .3
1-.3 = .7
70%
d. Find the sum of half of the percents given in the circle graph. Subtract that total from 50%.
1/2 (46%) = 23%
50 -23 = 27%
casino dice game to play this game, you roll two dice. if your total on the first roll is or points, you win. if your total is , , or points, you lose. if you get any other number ( , , , , , or ), that number becomes your point. you then continue to roll until your point comes up again or until a 7 comes up. if your point comes up before you roll a , you win. if comes up first, you lose. you ignore any outcomes that are not your point or . in pairs, play the game ten times. record how many wins and losses your team has. combine your information with other teams working on the problem. are the results fairly even or were there many more wins or losses? the game you have been playing is the basic dice game played in casinos worldwide. what is the probability of winning?
The probability of winning in the described dice game can be calculated by considering the possible outcomes and their corresponding probabilities.
On the first roll, there are three favorable outcomes to win: rolling a total of 7 or 11. There are 36 equally likely outcomes in total (since each die has 6 faces and there are two dice), so the probability of winning on the first roll is 3/36 or 1/12.
If a point is established (any number other than 2, 3, 7, 11, or 12), the game continues. In this case, there are two ways to win: rolling the point value before rolling a 7. The probability of rolling the point before a 7 depends on the specific point value.
For example, if the point is 4, there are 3 ways to win (rolling a 4) and 6 ways to lose (rolling a 7), so the probability of winning in this case is 3/9 or 1/3.
To calculate the overall probability of winning, we need to consider both the probability of winning on the first roll and the probability of winning after establishing a point. These probabilities need to be weighted based on the likelihood of each scenario.
Since the probability of establishing a point on the first roll is 1 - (3/36 + 2/36) = 31/36, the overall probability of winning can be calculated as follows:
Probability of winning = (1/12) + (31/36) * (probability of winning after establishing a point)
The probability of winning after establishing a point depends on the specific point value and the number of ways to win and lose from that point. This probability varies depending on the point and can be calculated individually.
By combining the probabilities of winning from the first roll and winning after establishing a point for all possible point values, we can determine the overall probability of winning in the dice game.
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For what values of c does the quadratic equatrion x^2-2x+c=0 have two roots of the same sign
The roots have positive or same signs when c>0.
Note that only real numbers can be positive or negative. This concept does not apply to complex non real numbers. So first we have to make sure that the roots are real which occurs when discriminant is greater or equal to 0.
\(b^{2} -2ac > 0\\2^{2} -2(-1) (c) > 0\\4-2c > 0\\c > -2\)
Roots of quadrant equation have Samsame sign if product of roots >0.
\(\frac{a}{c} > 0\\\frac{c}{-1} > 0\\c < 0\)
Roots of quadratic equation have positive sign if product of roots<0.
c>0.
Combining results, we get:-
roots have positive signs when:-
c>0.
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The model represents the equation
Which equation is a linear function?
y= 22 +7
y = 22 - 1
y= Ź - 5
y= 1 +
Answer:
y=22-1
Step-by-step explanation:
ewaan di ako sure
the subsets of the set {w, x, y} are {w}, {x}, {y}, {w, x}, {w, y}, {x, y}, {w, x, y}, and { } (the empty subset). how many subsets of the set {w, x, y, z} contain w ?
Answer:
4
Four subsets of {w, x, y} contain w.
Step-by-step explanation:
There are four subsets that have w in it:
{w} has w in it.
{w, x} has w in it.
{w, y} has w in it.
{w, x, y} has w in it.
The answer is 4.
Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall main entrance. Which set of survey results is most likely to show biased results for people who buy food at the mall
The set of survey results that is most likely to show biased results for people who buy food at the mall is Lewie's survey.
Lewie's survey samples only every fifth person leaving the mall's main entrance, which means that it only captures a small percentage of the total number of mall visitors. Additionally, by only surveying people leaving the main entrance, Lewie's survey may not capture people who enter and exit the mall through other entrances or exits and may also miss those who don't leave the mall after buying food. As a result, Lewie's survey may not accurately represent the total number of people who buy food at the mall and may lead to biased results.
On the other hand, Kelvin's survey samples every other person leaving the food area. This method captures a larger percentage of the total number of people who buy food at the mall and is more likely to provide a more accurate representation of the total number of people who buy food at the mall.
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Answer:
A. Kelvin’s because he surveyed people leaving an area where food is sold
Step-by-step explanation:
Rewrite the given equation in logarithmic form. Then, select all of the equations with an equivalent solution. 8e^x-5=0
The logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:
x = ln(5/8).
How to define the logarithmic form of the exponential equation?The exponential function in this problem is defined as follows:
8e^x-5 = 0.
The equation can be sorted isolating the exponential as follows:
8e^x = 5.
e^x = 5/8.
The natural logarithm(symbolized by the ln) is the opposite of the exponential function, hence the logarithmic form of the equation is presented as follows:
ln(e^x) = ln(5/8).
As stated above, the natural logarithm and the exponential functions are inverse functions, meaning that:
ln(e^x) = x.
Thus the logarithmic form of the exponential equation 8e^x-5 = 0 is given as follows:
x = ln(5/8).
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what is y=8.5x contasnt of proportionality
In a company, the ratio of the number of men to the number of women is 3:2 40% of the men are under the age of 25 10% of the women are under the age of 25 What percentage of all the people in the company are under the age of 25? %
Answer: Percentage of all the people in the company are under the age of 25=x
Step-by-step explanation:
We have to use the weighted average.
x=(Σwi * vi )/Σ wi
w₁=3
w₂=2
v₁=40%
v₂=10%
x=[3(40%)+2(25%)] / (3+2)=34%
Solution: 34% of all people in the company are under the age of 25.
(a) Bob wants to open a new fastfood shop. He estimates he needs to spend at least $100,000 on renovation and buying commercial kitchen appliances. The average running cost per customer (for food, staff salary, etc.) is $7. Each customer spends $15 on average.
(i) If the number of customers is n, write down the cost function and revenue function as functions of n.
(ii) Determine the minimum number of customers for the business to breakeven.
(iii) Bob has to borrow $100,000 from a bank with interest rate of 3% p.a. with interest payable monthly. If Bob does not repay a single cent, how much does Bob owe the bank after 3 years?
i) The cost function is x = 100,000 + 7n while the revenue function is y = 15n.
ii) The minimum number of customers for the business to break even is 12,500.
iii) The amount that Bob owes the bank after 3 years at 3% p.a. interest payable monthly, but without any repayment, is $109,272.70.
What is a function?A function is a mathematical equation showing the equality of two or more algebraic expressions.
a) Renovation and appliances costs = $100,000
Average running cost per customer = $7
Selling price per customer = $15
i) Let the number of customers = n
Cost function, x = 100,000 + 7n
Revenue function, y = 15n
ii) For the business to break even, y must be equal to x:
15n = 100,000 + 7n
8n = 100,000
n = 12,500
iii) Bank loan = $100,000
Interest rate = 3% p.a.
Interest payment = monthly
Amount after 3 years without any repayment = $100,000 x 1.03^3
= $109,272.70 ($100,000 x 1.092727)
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5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.
Answer:
10 - (-2) = 12, 10 + 2 = 12
Step-by-step explanation:
10 - (-2) = 12
10 + 2 = 12
twenty -five percent of sharda's oranges was 75. How many oranges did sharda have?
To find the total divide the amount known by the percentage.
Total = 75/0.25 = 300
She has 300
2/3 + 9/10 adding fractions
My teacher is making us show work :(
Answer: 47/30
Step-by-step explanation:
1) Find the common denominator
2/3 + 9/10
10/10 * 2/3 + 9/10 * 3/3
2) Add the numerator
20/30 + 27/30
47/30
A shipping crate is packed with unit cubes. The length of the crate is 4
units, the width is 2 units, and the height is 4 units. Find the volume
of the shipping crate.
Answer:
The volume of shipping crate is 32 unit cubes.
Step-by-step explanation:
Given that:
Length of the crate = 4 units
Width of the crate = 2 units
Height of the crate = 4 units
Volume of shipping crate = Length * Width * Height
Volume of the crate = 4 * 2 * 4
Volume of crate = 32 unit cubes.
Hence,
The volume of shipping crate is 32 unit cubes.
Answer:
32 units
Step-by-step explanation:
Convert to exponential form
Answer:
i got 27
Step-by-step explanation:
How many meters are in 28% of 15 km?
Explanation Please with proportions.
I will reward the brainiest
Answer:
4200
Step-by-step explanation:
Answer: 4,200 meters
Step-by-step explanation:
\(\frac{28}{100} * 15 = 4.2 km = 4200 m\)
what is the simplified expression of 4(-w+8)
Answer:
-4w + 32
Step-by-step explanation:
4 (-w + 8)
= (-4 × w) + (4 × 8)
= -4w + 32
Hope it helps :)
Please mark my answer as the brainliest
Answer:
-4w + 32
Step-by-step explanation:
4 (-w + 8)
= (-4 × w) + (4 × 8)
= -4w + 32
I’ve done question a. But can you help me on b and c
Answer:
Step-by-step explanation:
b) Diameter of Mercury = 4.88 * 10³ = 4.88 * 1000 = 4880 km
Radius of Mercury = 4880÷ 2 = 2440 km
c) Mass of Jupiter = 1.898 * 10²⁷ = 18.98 * 10²⁶
Mass of Saturn = 5.68 * 10²⁶
Difference = 18.98 * 10²⁶ - 5.68*10²⁶
= (18.98 - 5.68) * 10²⁶
= 13.30 * 10²⁶
= 1.330 * 10²⁷
a nurse is planning care for a client to prevent postoperative atelectasis. which of the following interventions should the nurse include in the plan of care except?
Answer:
You didn't provide any choices or options to pick from but here are the possible answers is:
- Encourage the use of the incentive spirometer every 2 hours
-Instruct to splint incision when coughing and deep breathing.
-Reposition the client every 2 hours
-Assist with early ambulation.
Step-by-step explanation:
Hope I could help!
In the plan of care to prevent postoperative atelectasis, interventions should not include the use of tobacco products or exposure to secondhand smoke.
The nurse should include several interventions in the plan of care to prevent postoperative atelectasis, but there are specific interventions that should not be included. Atelectasis is the partial or complete collapse of the lung, and preventing it is crucial after surgery. Here are some interventions that should be included:
Incentive Spirometry: The nurse should encourage the client to use an incentive spirometer to promote deep breathing and lung expansion.
Early Ambulation: Encouraging the client to get out of bed and walk as soon as possible after surgery helps improve lung function.
Pain Management: Adequate pain control measures should be in place to ensure the client can take deep breaths without discomfort.
Coughing and Deep Breathing Exercises: The nurse should teach and encourage the client to perform regular coughing and deep breathing exercises to clear the airways and prevent mucus buildup.
Positioning: Proper positioning, such as elevating the head of the bed, can aid lung expansion.
What should not be included in the plan of care is the use of tobacco products or exposure to secondhand smoke, as smoking and smoke exposure are detrimental to lung health and can worsen atelectasis. These should be strictly avoided to prevent postoperative complications.
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Salmon and Federico are choosing a number between 1 & 100, picking a color from ROY G BIV, and picking a letter out of "INDIANA". Either one will go first. State the probability of each situation as a percentage, fraction and decimal.
1. Salmon chooses a composite number, A cool color( G BIV) and an A.
2.Federico chooses a prime number, A color starting with a vowel, and a constanant.
3.Either chooses a number divisible by 7 or 8, any color, and a vowel.
4. Either chooses a number divisible by 5 or 4, blue or green, and L or N
To determine the probabilities, we need to consider the number of favorable outcomes for each situation divided by the total number of possible outcomes.
1.Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)
2. Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7%
3. Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)
4.Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)
1. Salmon chooses a composite number, a cool color (G, B, I, or V), and an A:
a) Composite numbers between 1 and 100: There are 57 composite numbers in this range.
b) Cool colors (G, B, I, or V): There are 4 cool colors.
c) The letter A: There is 1 A in "INDIANA."
Total favorable outcomes: 57 (composite numbers) * 4 (cool colors) * 1 (A) = 228
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 1 (possible letter) = 700
Probability: 228/700 = 0.3257 ≈ 32.57% ≈ 32.6% (rounded to one decimal place)
2. Federico chooses a prime number, a color starting with a vowel (E or I), and a consonant:
a) Prime numbers between 1 and 100: There are 25 prime numbers in this range.
b) Colors starting with a vowel (E or I): There are 2 colors starting with a vowel.
c) Consonants in "INDIANA": There are 4 consonants.
Total favorable outcomes: 25 (prime numbers) * 2 (vowel colors) * 4 (consonants) = 200
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 5 (possible letters) = 3500
Probability: 200/3500 = 0.0571 ≈ 5.71% ≈ 5.7% (rounded to one decimal place)
3. Either chooses a number divisible by 7 or 8, any color, and a vowel:
a) Numbers divisible by 7 or 8: There are 24 numbers divisible by 7 or 8 in the range of 1 to 100.
b) Any color: There are 7 possible colors.
c) Vowels in "INDIANA": There are 3 vowels.
Total favorable outcomes: 24 (divisible numbers) * 7 (possible colors) * 3 (vowels) = 504
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 3 (possible letters) = 2100
Probability: 504/2100 = 0.24 ≈ 24% (exact fraction)
4. Either chooses a number divisible by 5 or 4, blue or green, and L or N:
a) Numbers divisible by 5 or 4: There are 45 numbers divisible by 5 or 4 in the range of 1 to 100.
b) Blue or green colors: There are 2 possible colors (blue or green).
c) L or N in "INDIANA": There are 2 letters (L or N).
Total favorable outcomes: 45 (divisible numbers) * 2 (possible colors) * 2 (letters) = 180
Total possible outcomes: 100 (possible numbers) * 7 (possible colors) * 2 (possible letters) = 1400
Probability: 180/1400 = 0.1286 ≈ 12.86% ≈ 12.9% (rounded to one decimal place)
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if x is a random number between 0 and 1, then we can use x to simulate a variable that is uniformly distributed between 100 and 200. using the formula: a.100 + x b. 200 −x c. 100 + 100x d. 200x
The correct formula to simulate a variable uniformly distributed between 100 and 200 using x is c. 100 + 100x.
To simulate a variable uniformly distributed between 100 and 200 using a random number x between 0 and 1, you can use the formula:
Variable = 100 + (200 - 100) * x
Let's break down the formula:
a. 100 + x: This will give a variable that ranges from 100 to 101, not between 100 and 200.
b. 200 - x: This will give a variable that ranges from 199 to 200, not between 100 and 200.
c. 100 + 100x: This formula is correct and will give a variable that ranges from 100 to 200, with x ranging from 0 to 1.
d. 200x: This formula will give a variable that ranges from 0 to 200, not between 100 and 200.
Therefore, the correct formula to simulate a variable uniformly distributed between 100 and 200 using x is c. 100 + 100x.
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Use the function y=3/2x +3 to
complete the table of values.
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
\(y=\frac{3}{2}x\:+3\)
Putting all the values of y=9, 6, 0, and -3 to complete the tableFOR y=9
\(y=\frac{3}{2}x\:+3\)
putting y=9
\(9=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=9\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=9-3\)
\(\frac{3}{2}x=6\)
\(3x=12\)
\(x=4\)
Hence,
when y=9, x=4
FOR y=6
\(y=\frac{3}{2}x\:+3\)
putting y=6
\(6=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=6\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=6-3\)
\(\frac{3}{2}x=3\)
\(3x=6\)
\(x=2\)
Hence,
when y=6, x=2
FOR y=0
\(y=\frac{3}{2}x\:+3\)
putting y=0
\(0=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=0\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=0-3\)
\(\frac{3}{2}x=-3\)
\(3x=-6\)
\(x=-2\)
Hence,
when y=0, x=-2
FOR y=-3
\(y=\frac{3}{2}x\:+3\)
putting y=-3
\(-3=\frac{3}{2}x+3\)
switch sides
\(\frac{3}{2}x+3=-3\)
subtract 3 from both sides
\(\frac{3}{2}x+3-3=-3-3\)
\(\frac{3}{2}x=-6\)
\(3x=-12\)
\(x=-4\)
Hence,
when y=-3, x=-4
Hence, the table becomes:
x y
9 4
6 2
0 -2
-3 -4
If k denotes the number of possible outcomes for a trial, then the difference between a binomial and multinomial experiment is?
The main difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial.
In a binomial experiment, there are two possible outcomes (success or failure), denoted by k = 2. On the other hand, a multinomial experiment involves multiple possible outcomes, with k representing the number of distinct outcomes.
In a binomial experiment, each trial has two possible outcomes, typically labeled as success (S) and failure (F). The number of successful outcomes is of interest, and the probability of success remains constant for each trial. The binomial distribution is characterized by parameters such as the number of trials, the probability of success, and the number of successful outcomes.
In contrast, a multinomial experiment involves multiple possible outcomes, with each outcome occurring with a certain probability. The number of possible outcomes is denoted by k, and each outcome can be categorized or labeled differently. The multinomial distribution considers the probabilities associated with each outcome and their respective frequencies.
In summary, the difference between a binomial and multinomial experiment lies in the number of possible outcomes for each trial. A binomial experiment has two outcomes (success or failure), while a multinomial experiment involves multiple distinct outcomes, with the number of possible outcomes denoted by k.
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What is the slope of this line?
Answer:
Slope = 2
Step-by-step explanation:
(x₁ , y₁) = ( 1 , 1) & (x₂,y₂) = (-1,-3)
\(Slope=\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\dfrac{-3-1}{-1-1}\\\\=\dfrac{-4}{-2}\\\\=2\)
Take the first 4 digits of your student number as the first number and the last 3 digits as the second number. Write the matlab code to find the greatest common divisor of these numbers using the Euclidean algorithm.
The required Matlab code to find the greatest common divisor of a number using the Euclidean algorithm is shown.
To find the greatest common divisor (GCD) of two numbers using the Euclidean algorithm in MATLAB, you can use the following code:
% Replace '12345678' with your actual student number
studentNumber = '12345678';
% Extract the first 4 digits as the first number
firstNumber = str2double(studentNumber(1:4));
% Extract the last 3 digits as the second number
secondNumber = str2double(studentNumber(end-2:end));
% Find the GCD using the Euclidean algorithm
gcdValue = gcd(firstNumber, secondNumber);
% Display the result
disp(['The GCD of ' num2str(firstNumber) ' and ' num2str(secondNumber) ' is ' num2str(gcdValue) '.']);
Make sure to replace '12345678' with your actual student number. The code extracts the first 4 digits as the first number and the last 3 digits as the second number using string indexing. Then, the gcd function in MATLAB is used to calculate the GCD of the two numbers. Finally, the result is displayed using the disp function.
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what refrence tool is uses to determine how the fiber is to be orientated for for a particular ply of fabric
A reference tool that is used to determine how the fiber is to be orientated for a particular ply of fabric is called a lay plan or lay direction.
A lay plan is a detailed diagram that shows the orientation of fibers in each layer of a fabric, and it is used as a guide for the manufacturing process. The lay plan indicates the direction in which the fibers should be oriented in each layer of the fabric, which is essential for achieving the desired strength, stretch, and durability of the final product.
The lay plan is also used to ensure that the fibers are aligned in the same direction in each layer, which helps to prevent warping or other issues that can occur during manufacturing.
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DETAILS LARCALC11 9.5.058. Determine whether the series converges absolutely or conditionally, or diverge 00 Σ sin[(2n – 1)7/2] n=1 n o converges conditionally o converges absolutely o diverges
The given series converges conditionally.
We can use the Dirichlet's test to determine the convergence of the given series.
Let aₙ = sin[(2n – 1)π/2] and bₙ = 1/n. Then, |bₙ| decreases monotonically to 0 and the partial sums of aₙ are bounded.
Now, let Sₙ = Σ aₖ. Then, we have:
S₁ = sin(π/2) = 1
S₂ = sin(3π/2) + sin(π/2) = 0
S₃ = sin(5π/2) + sin(3π/2) + sin(π/2) = -1
S₄ = sin(7π/2) + sin(5π/2) + sin(3π/2) + sin(π/2) = 0
We observe that Sₙ oscillates between 1 and -1, and does not converge. However, the series Σ |aₙ| = Σ sin[(2n – 1)π/2] is a convergent alternating series by the Alternating Series Test.
Therefore, the series converges conditionally.
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If triangle RST is an acute triangle, then m∠S must be
less than 90°.
equal to 90°.
equal to 100°.
greater than 90° and less than 180°.
Answer:
less than 90°
Step-by-step explanation:
Acute angles are less than 90°
Answer:
Less than 90 degree
Step-by-step explanation:
Because acute triangles are less than 90 degree.
And an acute triangle only include acute angles, no right angles (equal 90 degree) or obtuse angles (greater that 90 degree and less than 180 degree).
So... the answer is less than 90°! less than 90°! less than 90°! A! A! A!
Cheers! ( ̄▽ ̄)~■□~( ̄▽ ̄)
Ernest has been tracking the value of his car every year since he bought it.Year0123Car value ($) 30,000 27,000 24,300 21,870Complete the sentence.Ernest should usefunction ? (Exponential or linear) to model the value of his car because the ? Ratio or difference between successive car values is constant.
step 1
Verify if the function to model the value of the car is linear
Find out the difference between successive car values
27,000-30,000=-3,000
24,300-27,000=-2,700
21,870-24,300=-2,430
The value is not a constant
step 2
Verify if the function to model the value of the car is exponential
Find out the ratio between successive car values
27,000/30,000=0.9
24,300/27,000=0.9
21,870/24,300=0.9
The ratio is a constant value
so
The function is exponential
The answers are
exponential and ratioWhat is the solution of the inequality shown
below?
y+7≤-1
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
To solve the inequality y + 7 ≤ -1, we need to isolate the variable y on one side of the inequality sign.
Starting with the given inequality:
y + 7 ≤ -1
We can begin by subtracting 7 from both sides of the inequality:
y + 7 - 7 ≤ -1 - 7
y ≤ -8
The solution to the inequality is y ≤ -8. This means that any value of y that is less than or equal to -8 will satisfy the original inequality.
In the context of a number line, all values to the left of -8, including -8 itself, will make the inequality true. For example, -10, -9, -8, -8.5, and any other value less than -8 will satisfy the inequality. However, any value greater than -8 will not satisfy the inequality.
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The following question may be like this:
What is a solution of the inequality shown below? y+7≤-1