They need to ride "x = 20 - (hours a first day + hours second day)" on the third day to make their goal of biking a total of 20 hours in the park.
Let's call the number of hours Rebecca and Dan rode on the third day "x".
Then, the total number of hours they rode in the park is given by:
total hours = hours first day + hours second day + x
And, we know that their goal is to bike a total of 20 hours in the park, so we can set the equation equal to 20:
total hours = hours first day + hours second day + x = 20
We can substitute in the values for hours first day and hours second day:
20 = hours first day + hours second day + x
So, to find the number of hours they need to ride on the third day to reach their goal, we just need to solve for x:
x = 20 - (hours first day + hours second day)
We would need to know the values for hours first day and hours second day to find the exact value of x.
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a boat is 324 feet from the base of cliff. if the distance from the top of the cliff to the boat is 81 more than twice the height of the cliff. find the height of the cliff. round to the nearest tenth of a foot if necessary.
Given: A boat is located 324 feet from the base of the cliff.
The distance from the top of the cliff to the boat is 81 more than twice the height of the cliff, or 2h + 81.
We want to find: The height of the cliff, h.
Equations:
h + (2h + 81) = 324 (The height of the cliff plus the distance from the top of the cliff to the boat is equal to 324 feet)
3h + 81 = 324 (Expanding the left side of equation 1)
3h = 243 (Subtracting 81 from both sides of equation 2)
h = 81 (Dividing both sides of equation 3 by 3)
Therefore, the height of the cliff, h, is 81 feet.
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a jar contains 2 red marbles numbered 1 to 2 and 8 blue marbles numbered 1 to 8. a marble is drawn at random from the jar. find the probability of the given event. enter your answers as either decimals or fractions, not as percents.(a) the marble is redyour answer is :
The probability of drawing a red marble is 2/10 or 1/5.
To determine this:
The probability of drawing a red marble is 2/10 or 1/5. This means that if we randomly select one marble from the jar, there is a 1 in 5 chance that it will be red.
The probability of an event is calculated by dividing the number of favorable outcomes by the number of possible outcomes. For example, if you flip a fair coin, the probability of getting heads is 1/2 because there are two possible outcomes (heads or tails) and only one of them is favorable (heads).
Probability is an important concept in statistics and mathematics, and it is widely used in many areas such as insurance, finance, and scientific research.
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The probability of drawing a red marble is 2/10 or 1/5.
To determine this:
The probability of drawing a red marble is 2/10 or 1/5. This means that if we randomly select one marble from the jar, there is a 1 in 5 chance that it will be red.
The probability of an event is calculated by dividing the number of favorable outcomes by the number of possible outcomes. For example, if you flip a fair coin, the probability of getting heads is 1/2 because there are two possible outcomes (heads or tails) and only one of them is favorable (heads).
Probability is an important concept in statistics and mathematics, and it is widely used in many areas such as insurance, finance, and scientific research.
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I know 6x + 64 = 90 but i doesn’t know what the value of x
Answer:
x = 4 1/3
Step-by-step explanation:
To solve the equation 6x + 64 = 90, we must isolate the variable.
6x + 64 = 90
- 64 - 64
6x = 26
/ 6 / 6
x = 4 1/3
Answer:
4.3333333 on going so a stop will be 4.3
Step-by-step explanation:
the total 90, minus 64 will give you 26, the divide 26 by 6 which will give you 4.33333
I WILL GIVE BRAINLEST PLS HELP!!!!!!!
(Theoretical Probability LC)
When given a set of cards laying face down that spell D, E, C, I, M, A, L, S, determine the probability of randomly drawing a consonant.
three sevenths
five sevenths
three-eighths
five-eighths
The solution is Option B.
The probability of drawing a consonant is given by the equation P = 5/7
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of drawing a consonant be represented as P
Now , the equation will be
The total number of letters in the word DECIMALS = 7 letters
The total number of consonants in the word DECIMALS is given by the set A = { D , C , M , L , S }
So , the number of consonants = 5 letters
And , the probability of drawing a consonant P = total number of consonants in the word DECIMALS / total number of letters in the word DECIMALS
Substituting the values in the equation , we get
The probability of drawing a consonant P = 5/7
Hence , the probability is 5/7
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in terms of m1 , m2 , and g , find the acceleration of the first block in the figure (figure 1). there is no friction anywhere in the system.
The first block's acceleration is inversely proportional to its mass and directly proportional to the mass difference between the two blocks.
What is the speed increase?Without being aware of the precise values of m1, m2, and g, it is impossible to calculate the acceleration of the first block.
Newton's second rule of motion, which states that the net force on an object is equal to its mass times its acceleration, can be used to calculate the acceleration of the first block in the illustration.
Let's call the first block's acceleration "a." The difference between the tension force in the rope connecting the two blocks and the force of gravity can be used to calculate the net force exerted on the first block.
The rope's tension force is generated by:
T = m2 × g
The first block is subject to the following gravitational force:
Fg = m1 × g
The difference between these two forces is the net force exerted on the first block:
Fnet = T - Fg = (m2 - m1) × g = m2 × g - m1 × g
In light of Newton's second law, we can say:
Fnet = a × m1
(m2 - m1) × g = m1 × a
When calculating acceleration, we obtain:
a = (m2 - m1) × g / m1
As a result, the first block's acceleration is inversely proportional to its mass and directly proportional to the mass difference between the two blocks.
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Complete question -
Tumi can walk 1/3 mile in 2 minutes. If Tumi walks at a constant pace, how far does he walk in 1 minute?
Answer:
1/6 of a mile
Step-by-step explanation:
if it is a constant pace, it must increase and decrease proportionately meaning, you divide the time by 2 so you divide the distance by 2 as well
how many fruit skewers do they make
Answer:
100
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
Click to review the online content. Then answer the question(s) below, using complete sentences. Scroll down to view additional questions.
Online Content: Site 1
When graphing a function, what is meant by the input and output values?
When graphing a function, the input values are the independent variable(s) and the output values are the dependent variable(s).
A graph is a visual representation of a function that helps to understand the relationship between the input and output values of the function. In a graph, the horizontal axis represents the input values, and the vertical axis represents the output values. Each point on the graph represents a single pair of input and output values, and the entire graph represents the entire set of input and output values of the function.
When graphing a function, the input values are the independent variable(s) and the output values are the dependent variable(s).
For example, in the case of a simple linear function such as y = f(x) = 5x + 4, the input value is x, and the output value is y. To create the graph of this function, you would plot a set of ordered pairs (x, y), where x is the input value and y is the corresponding output value.
Similarly, in the case of a multi-variable function such as z = f(x, y), the input values are x and y, and the output value is z. To create the graph of this function, you would plot a set of ordered triples (x, y, z), where x and y are the input values and z is the corresponding output value.
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the mainor school district a. the district estimates that the equipment has a useful it is considering four alternaives
The Expenditure incurred by the mainor school district is $60,000 & inter-period equity is not achieved.
Interperiod equity refers to a government's obligation to disclose whether current-year revenues are sufficient to pay for the services provided that year and whether or not future taxpayers will be required to shoulder the burdens for services previously provided. It also refers to whether current-year revenues are sufficient to pay for the benefits provided that year or whether current citizens deferred payments to future taxpayers.
Thus, The Expenditure incurred by the mainor school district is $60,000 & inter-period equity is not achieved.
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how many positive four-digit integers are there such that no two consecutive digits are multiples of 3?
There are 720 positive four-digit integers that satisfy the condition of having no two consecutive digits being multiples of 3.
how many positive four-digit integers that satisfy the condition of having no two consecutive digits?To find this number, we can consider the first digit and then the next digits, one by one.First digit: The first digit can be any of the digits 1, 2, 4, 5, 7, 8, 9. (The digits 0, 3, 6 are not allowed as they are multiples of 3.)Second digit: After the first digit, the second digit cannot be equal to the first digit plus 3.For example, if the first digit is 1, the second digit cannot be 4. Hence, the second digit can be any of the digits except the ones that are 3 greater than the first digit. So, there are 6 possible digits for the second digit.Third digit: The third digit also cannot be equal to the second digit plus 3. So, there are 6 possible digits for the third digit.Fourth digit: The fourth digit can be any of the digits except the one that is 3 greater than the third digit. So, there are 6 possible digits for the fourth digit.Now, we can multiply the number of possibilities for each digit to find the total number of positive four-digit integers that satisfy the given condition:7 * 6 * 6 * 6 = 720.Hence, there are 720 positive four-digit integers that satisfy the given condition.To learn more about consecutive digit refer:
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14+2(3x-1) dived by 2
Answer:
14+2(3x-1) dived by 2 = 16
Step-by-step explanation:
Answer:
3,x+13 all you have to do is simplify
Define the following terms.(a) Experimental unit (d) Factor(b) Treatment (e) Placebo(c) Response variable (f) Confounding(a) Define experimental unit.A. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variableB. A person, object, or some other well-defined item upon which a treatment is appliedC. Any combination of the values of the factors (explanatory variables)D. An innocuous medication, such as a sugar tablet, that looks, tastes, and smells like the experimental medication(b) Define treatment.A. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variableB. The number of individuals in the experimentC. Any combination of the values of the factors (explanatory variables)Your answer is correct.D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable
Define the terms mentioned above:
Experimental unit, a person, object, or some other well-defined item upon which a treatment is applied. Correct answer: letter B.Treatment, Any combination of the values of the factors (explanatory variables). Correct answer: C Response variable, the quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable. Correct answer: letter D.Factor, a variable whose effect on the response variable is to be assessed by the experimenter. Correct answer: letter A.Placebo, An innocuous medication, such as a sugar tablet, that looks, tastes, and smells like the experimental medication. Correct answer: letter C.Confounding, The effect of two factors (explanatory variables on the response variable) cannot be distinguished. Correct answer: letter A.Experimental terms refer to the set of procedures used to conduct a scientific investigation. These terms include experimental design, data collection, interpretation of results, discussion of theoretical models, and formulation of hypotheses.
These terms are used to describe the research process, from the selection of the topic to the publication of the results. Experimental terms are also used to describe the methods of analysis of the data collected, such as linear regression and analysis of variance.
Define the following terms: (a) Experimental unit (d) Factor (b) Treatment (e) Placebo (c) Response variable (f) Confounding
(a) Define experimental unit:
A. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable
B. A person, object, or some other well-defined item upon which a treatment is applied
C. Any combination of the values of the factors (explanatory variables)
D. An innocuous medication, such as a sugar tablet, that looks, tastes, and smells like the experimental medication
(b) Define treatment:
A. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable
B. The number of individuals in the experiment
C. Any combination of the values of the factors (explanatory variables)
Your answer is correct.
D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable
(c) Define response variable:
A. An innocuous medication, such as a sugar tablet, that looks, tastes, and smells like the experimental medication
B. The variable whose effect on the response variable is to be assessed by the experimenter
C. The effect of two factors (explanatory variables on the response variable) cannot be distinguished.
D. The quantitative or qualitative variable for which the experimenter wishes to determine how its value is affected by the explanatory variable
(d) Define factor:
A. A variable whose effect on the response variable is to be assessed by the experimenter
Your answer is correct.
B. Grouping together similar experimental units
C. An innocuous medication, such as a sugar tablet, that looks, tastes, and smells like the experimental medication
D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable
(e) Define placebo:
A. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable
B. Grouping together similar experimental units
C. An innocuous medication, such as a sugar tablet, that looks, tastes, and smells like the experimental medication
D. Using treatments on many experimental units
(f) Define confounding:
A. The effect of two factors (explanatory variables on the response variable) cannot be distinguished.
B. Using treatments on many experimental units
C. Grouping together similar experimental units
D. A controlled study to determine the effect varying one or more explanatory variables or factors has on a response variable
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fresh first grocery store purchases bread at $1 per loaf and sells it at $1.50 a loaf. any unsold bread is fed to the geese at a local pond. what is the decision rule?
The decision rule for Fresh First Grocery Store is to sell the bread at $1.50 per loaf if they can, otherwise they will feed it to the geese.
Fresh First Grocery Store purchases bread for $1 per loaf and sells it for $1.50 per loaf. This means that for every loaf of bread they sell, they will make a profit of $0.50. The decision rule for the grocery store is to sell the bread if they can, as this will result in a profit.
However, if they are unable to sell the bread, they have decided to feed it to the geese at a local pond. This decision is likely based on the idea that it is better to give the unsold bread to the geese rather than throw it away, as it will be put to good use and not go to waste.
In conclusion, the decision rule for Fresh First Grocery Store is to sell the bread at $1.50 per loaf if they can, otherwise they will feed it to the geese. This decision takes into account both the desire to make a profit and the desire to avoid waste and put unsold bread to good use.
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If A is invertible, then A∼I (A is row equivalent to the identity matrix). Therefore, A has n pivots, one in each column, which means that the columns of A are linearly independent.
The given statement is correct. If a matrix A is invertible, then it means that it has a unique inverse.
What is the identity matrix?
The identity matrix is a square matrix with 1's on the main diagonal and 0's everywhere else. It is denoted as I. The identity matrix has the property that for any square matrix A, the product of A and I is equal to A itself, so I serve as a sort of "do-nothing" matrix.
Yes, this is correct. If a matrix A is invertible, then it means that it has a unique inverse. This implies that the columns of A are linearly independent, as they form a basis for the space. A row equivalent matrix to the identity matrix (A∼I) will have one pivot in each column, indicating that the columns are linearly independent.
Hence, the given statement is correct. If a matrix A is invertible, then it means that it has a unique inverse.
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Rewrite the expression in the form k•y^n
Answer= 6 and 7/y6 this will be the correct answer
Please answer all of these questions, Please! :))))
1. A new car that sells for $44,000 depreciates 25% each year. What will the value of the car be after 4 years?
Type your answer as a decimal rounded to the nearest cent.
2. The bear population in a given area is increasing at a rate of 2% per year. The population is currently about 1580. If this trend continues what is the predicted population after 8 years?
Type your answer rounded to the nearest whole bear.
3. The population of a town is 6348 people and is increasing at a rate of 1.3% per year. If this growth continues what will the population be in 5 years?
Type your answer rounded to the nearest person.
4. Mollie has $5,000 that she has invested at 3.6% compounded monthly for 3.5 years. How much will be in her account at the end of that period?
Type your answer as a decimal rounded to the nearest cent.
5. Joe invests a sum of money in a savings account with an interest rate of 1.85% compounded quarterly. After 10 years, the balance reaches $6,013.53. What was the amount of the initial investment?
Type your answer rounded to the nearest dollar.
6. Brenda invests $4,848 in a savings account with an interest rate compounded semiannually. If the account balance after 6 years is $6,520.02, what is the interest rate?
(Hint: SADMEP-Do not round calculations until the final answer.)
Round your answer to the nearest percent. ( Two decimal places or a whole number percentage)
Please answer all these questions.
By the application of the exponential function to the problems we have;
1) $16187
2) $1346
3) 6774
4) $5670
5) $ 7233
6) 4%
What would be the value of the car?We have to know that the value of the car can be obtained by the use of the function;
P = Poe^-rt
P = Value at time t
Po = initial value
r = rate of depreciation
t = time taken
P = 44,000e^-0.25*4
P = $16187
2) P= Poe^-rt
P = 1580e^-0.02 * 8
P = $1346
3) P = Poe^rt
P = 6348e^0.013 * 5
P = 6774
4) A = P(1 + r/n)^nt
A = 5,000( 1 + 0.036/12)^12 * 3.5
A = $5670
5) A = P(1 + r/n)^nt
A = 6,013.53( 1 + 0.0185/4)^4 *10
A = $ 7233
6) A = P(1 + r/n)^nt
6,520.02 = 4,848(1 + r/2)^6 * 2
6,520.02/ 4,848 = (1 + r/2)^6 * 2
1.34 = (1 + r/2)^12
ln 1.34 = 12ln (1 + r/2)
ln (1 + r/2) = ln 1.34/12
ln (1 + r/2) = 0.024
1 + r/2 = e^0.024
1 + r/2 = 1.02
r/2 = 1.02 - 1
r/2 = 0.02
r = 2 * 0.02
r = 0.04
r = 4%
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Lin counts 7 bacteria under a microscope. She counts them again each day for four days , and finds that the number of bacteria doubled each day from 7 to 14, then from 14 to 28 and so on. In the previous question you answered if the function representing the bacteria was a linear function. Explain your reasoning
It’s not representing a function liner but can you tell my why?
Analyzing a function's graph will reveal if it is linear or not. When a linear function is graphed, it produces a straight line. In contrast to a linear function, a nonlinear function has some kind of curve.
What is meant by linear?pertaining to, comprising, or resembling a line: Straight: Involving only one dimension. Of, pertaining to, based upon, or being linear equations or linear functions. More than one variable may be present in a linear equation. Linear equations with two variables, for example, are used when a linear equation includes two variables. Examples of linear equations include 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. involving directly following events or thoughts: Typically, stories are told in a linear fashion from beginning to end. In linear communication, a message is sent without receiving any response from the recipient. A linear equation has a graph that is a straight line. The highest power of x will be 1, at which point this will occur. A linear equation can be identified graphically if it results in a straight line.To learn more about linear refer to:
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Please help I'm so confused!!!
Answer:
its not possible
Step-by-step explanation:
6=14
10 = 22
if ten is 22
how can 20 be 42
Which function has the greatest growth rate?
5) 1x) = 2(7)5
B {x) = 7(2)
© 1x) =3(5)+ 6
O f(x) = 5(3)+
option C is correct, [tex]f(t)=1.36^{t}[/tex] has greatest growth rate.
What is a function?A relation is a function if it has only One y-value for each x-value.
Growth rates are the percent change of a variable over time
Formula for the exponential growth is,
f(x)=a(1+r/100)ⁿ
where r = rate of exponential growth
a = initial amount
n = duration or time
The greatest growth rate is in the form of percentage.
We have to check for the value which is higher in the given options.
Hence, option C is correct, [tex]f(t)=1.36^{t}[/tex] has highest growth rate.
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The given question is not complete, similar kind of question is attached below.
Water comes out of a garden hose at a constant rate to fill a pool. After 3 minutes, the pool is filled with 30 gallons of water. After 6.5 minutes, the pool is filled with 65 gallons of water.
a. Write an equation that represents the number of gallons of water y in the pool after x minutes.
b. How long will it take to fill a pool that needs 10,000 gallons of water?
Answer:
a. y = 10x
b. 1000 minutes of 16 2/3 hours
Step-by-step explanation:
a.
30 gal / 3 min = 10 gal/min
65 gal / 6.5 min = 10 gal/min
The relation is a direct proportion.
y = kx
The filling rate is the slope which is also the constant of proportionality.
The equation is
y = 10x
b.
y = 10x
10,000 = 10x
x = 10,000/10
x = 1000
The time is 1000 minutes, or 16 2/3 hours.
Which is a correct similarity statement for the figures below?
A- ABC~EDF
B- ABC~DFE
C- ABC~DEF
D- ABC~EFD
Answer:
C!
Step-by-step explanation:
the sides all have the same ratio
8/12 = 10/15 = 14/21 = 2/3
Please help meeee !!long division step by step
consider the following metabolic rates: 1772 1666 1362 1460 1867 1439 1614 suppose the number 1772 was accidentally changed to 1972. how would this change the value of the median? group of answer choices increase median would not change the median decrease median
The answer is the median would not change.
The median of a set of numbers is the middle value when the numbers are arranged in order. It is not affected by outliers or extreme values as much as the mean is.
If the number 1772 was accidentally changed to 1972, this would increase the value of the number and it would become an outlier in the set. To calculate the median, we need to arrange the numbers in order. The new set would be:
1362 1439 1460 1614 1666 1867 1972
The median of this set is 1614, which is the middle value. As you can see, the change from 1772 to 1972 did not affect the median.
Therefore, the answer is the median would not change.
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The answer is the median would not change.
The median of a set of numbers is the middle value when the numbers are arranged in order. It is not affected by outliers or extreme values as much as the mean is.
If the number 1772 was accidentally changed to 1972, this would increase the value of the number and it would become an outlier in the set. To calculate the median, we need to arrange the numbers in order. The new set would be:
1362 1439 1460 1614 1666 1867 1972
The median of this set is 1614, which is the middle value. As you can see, the change from 1772 to 1972 did not affect the median.
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Make m as the subject of
C/m+n=d/m-n
Answer: there is no answer
Step-by-step explanation: if the whole sentence is letters it is not answerable
What is the average value of f(x) = (sin x)4^cos x for the closed interval 0 lessthanorequalto x lessthanorequalto pi/2 ? (A) 3/ln 4 (B) 6/pi ln 4 (C) 4/ln 4 D)8/pi ln 4 (E) 3 pi/2 ln 4
The Average Value of f(x) = (sin x)4^(cos x) for the closed interval 0≤ x≤π/2 is (B) 6/(πln(4)) .
The average value of a function over a closed interval can be found by calculating its definite integral over the interval and dividing by the length of the interval.
The function is : f(x) = (sin x)4^(cos x) ;
Substituting the values :
we get ;
Average Value is = (1/π/2) × [tex]\int\limits^\frac{\pi }{2} _0[/tex] (sin x)4^(cos x) dx .
On Simplifying ,
we get ;
Average Value is = [(-2/π)/ln(4) ] (1 - 4)
⇒ 6/(πln(4))
Therefore , the average value of the function over the interval 0≤ x≤π/2 is 6/(πln(4)).
What is the average value of f(x) = (sin x)4^(cos x) for the closed interval 0≤ x≤π/2 ?
(A) 3/ln(4)
(B) 6/(πln(4))
(C) 4/ln(4)
D) 8/(πln(4))
(E) 3π/(2ln(4))
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PLEASE HELP ILL GIVE BRAINLIEST AND THANKS AND 5 STARS!!
You survey the students in your class to find out what kinds of movies they
like to watch. The students were given the following choices: Comedy (C),
Horror (H), Drama (D), Action (A), Romance (R).
The following were the results of your survey:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R,
H, H, H, C, H, A, R, D, D, D, D, H, R
a. Make a frequency table for the movie genres.
b. What is the relative frequency of the people that chose comedies? Show
your calculation.
c. What is the relative frequency of the people that chose horror? Show
your calculation.
d. What is the relative frequency of the people that chose drama? Show
your calculation.
e. What is the relative frequency of the people that chose action? Show
your calculation.
f. What is the relative frequency of the people that chose romance? Show
your calculation.
g. Use the relative frequencies calculated in parts (b) – (f) to explain which
genre of movies is the most popular with your class. Explain your reasoning.
h. If you were having a party for your class which movie genre would you be
least likely to pick? Explain your reasoning.
The relative frequencies are 0.133, 0.233, 0.167, 0.200 and 0.267
The most popular genre in your class is Romance
The frequency tableFrom the question, we have the following parameters that can be used in our computation:
C, C, R, R, D, R, H, H, C, A, A, R, A, A, A, R, R,
H, H, H, C, H, A, R, D, D, D, D, H, R
Where
Comedy (C), Horror (H), Drama (D), Action (A), Romance (R).
Using the above as a guide, we have the following:
Movie Genre Frequency
Comedy (C) 4
Horror (H) 7
Drama (D) 5
Action (A) 6
Romance (R) 8
For the relative frequencies, we have
b. Relative Frequency of Comedies: 4 / 30 = 0.133c. Relative Frequency of Horror: 7 / 30 = 0.233d. Relative Frequency of Drama: 5 / 30 = 0.167e. Relative Frequency of Action: 6 / 30 = 0.200f. Relative Frequency of Romance: 8 / 30 = 0.267The most popular genre in your classThis is the genre with the highest relative frequence
So, we have
Most popular = Romance
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In which quadrant dothe following point lie A(3,5) B (-2,1) M (-1,-7) N (4,-5) P (-1,1)
Answer:
A= 1, B= 2, C= 3 D= 2
Step-by-step explanation:
Philip's granola direstions call for 3 oz. of nuts to every 4 oz. of raisins. He uses 2 oz. of nuts to every 3 oz. of raisins. Is Philip using the correct ratio of nuts to raisins.
Answer:
Step-by-step explanation:
yes
classifying polynomials by degree and number of terms
Answer:
Step-by-step explanation:
Polynomials are mathematical expressions that consist of variables raised to a power and combined with coefficients. The degree of a polynomial is the highest power of the variable in the expression. The number of terms in a polynomial is the number of separate terms that are added together to form the polynomial.
Here are some common examples of polynomials classified by degree and number of terms:
Degree 1, one term: a linear polynomial, such as 3x + 4
Degree 2, one term: a constant polynomial, such as 25
Degree 2, two terms: a quadratic polynomial, such as 3x^2 + 4x + 5
Degree 3, three terms: a cubic polynomial, such as 2x^3 + x^2 + 4x + 7
Degree 4, four terms: a quartic polynomial, such as x^4 + 3x^3 + 4x^2 + 2x + 6
Note that a polynomial with only one term is always a constant polynomial, regardless of its degree
Which of the following is not a fundamental identity? A. cot θ = cos θ/sinθ. B. sec θ = 1/cosθ. C. sec^2 + 1 = tan^2θ. D. 1 + cot^2θ = csc^2θ.
A fundamental identity is an equation that relates the values of the trigonometric functions for a given angle. The equation cot θ = cos θ/sinθ is an example of a fundamental identity.
This identity states that the cotangent of an angle is equal to the cosine of the angle divided by the sine of the angle. The equation sec θ = 1/cosθ is another example of a fundamental identity. This identity states that the secant of an angle is equal to the reciprocal of the cosine of the angle. The equation sec^2 + 1 = tan^2θ is also a fundamental identity. This identity states that the square of the secant of an angle plus one is equal to the square of the tangent of the angle. The equation 1 + cot^2θ = csc^2θ is not a fundamental identity. This equation states that one plus the square of the cotangent of an angle is equal to the square of the cosecant of the angle. This equation is not a fundamental identity because it does not relate the values of the trigonometric functions for a given angle.
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