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Related Questions
It can be helpful to classify a differential equation, so that we can predict the techniques that might help us to find a function which solves the equation. Two classifications are the order of the equation -- (what is the highest number of derivatives involved) and whether or not the equation is linear . Linearity is important because the structure of the the family of solutions to a linear equation is fairly simple. Linear equations can usually be solved completely and explicitly. Determine whether or not each equation is linear:
Answers
Answer:
The equations are not given but the clue to your answer is given below:
Step-by-step explanation:
So the question above talks generally about differential equations (equations whose derivatives can be found) and then describes them thus - the order of a differential equation and the linearity status of a differential equation.
To determine whether or not each of the absent equations is linear, check for the following characteristics of linearity:
1. The maximum number or power that any variable in a linear equation is raised to is 1.
Example: 2x² + 6y = 43y is NOT a linear equation because some or all (in this case, variable x) of the variables in it are raised to a power greater than 1. Variable x is raised to the power of 2.
2. An equation (a linear equation, in this case) contains an 'equal to' sign. This is the reason why it's called an equation. There is a mathematical expression on each side of the equal to sign. Take note of this, just incase one of the options in your question has no equal to sign.
Example: 2x + 6y is NOT a linear equation. It is a linear expression. It contains no equal to sign that compares two distinct mathematical expressions.
3. A linear equation usually has not more than two variables. It is not complex or difficult to solve.
Example: 2x + 6y = 43z is NOT a linear equation.
hi please help urgent question!!!
will give brainlist :>
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Answer:
dont know sos
Step-by-step explanation:
Wyatt is enlarging a rectangular drawing using a scale factor of 2.5.
7.4 in
5 in
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Christi has $7,500 to invest. She was offered a simple annual interest rate of 4% for three years, but wants to look at other options. Which of the following changes will increase the interest she earns the most?
A-Simple interest, 4.2%, 3 years
B-Simple interest, 4.1%, 3 years
C-Simple interest, 4%, 3.25 years
D-Compound interest, 4%, 2.75 years
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Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
What is simple interest?Simple interest is a method of calculating interest on an amount for n period of time with a rate of interest of r. It is calculated with the help of the formula,
[tex]SI = \dfrac{P \times R \times T}{100}[/tex]
where SI is the simple interest, P is the principal amount, R is the rate of interest, and T is the time period.
The simple Interest she is currently getting,
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3}{100} =\$900[/tex]
A.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.2 \times 3}{100} =\$945[/tex]
B.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4.1 \times 3}{100} =\$922.5[/tex]
C.)
[tex]SI = \dfrac{P \times R \times T}{100} = \dfrac{\$7,500 \times 4 \times 3.25}{100} =\$975[/tex]
D.)
[tex]CI = P(1+\dfrac{R}{100})^t -P = \$7,500(1+0.04)^{2.75}-\$7500 = \$854.16[/tex]
Hence, Christi can earn more interest if she invests $7,500 in Simple interest, 4%, 3.25 years, therefore, the correct option is c.
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Find the value of x so that the function has the given value.
r(x)=−45x+7; r(x)=−5
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Answer:
x = 3
Step-by-step explanation:
j(x) = 4/5(-5) + 7
= -4 + 7
= 3
−1/5(x−4)=−2 Please help me fast
Answers
Answer:
x=14
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−1/5(x−4)=−2
(−1/5)(x)+(−1/5)(−4)=−2(Distribute)
−1/5x+4/5=−2
Step 2: Subtract 4/5 from both sides.
−1/5x+4/5−4/5=−2−4/5
−1/5x=−14/5
Step 3: Multiply both sides by 5/(-1).
(5/−1)*(−1/5x)=(5/−1)*(−14/5)
The agriculture club is planting vegetable gardens of land that measures 1 3/4 of an acre. Each garden will measure 1/8 of an acre. What is the greatest number of gardens that can be planted?
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Answer: 14 gardens
Explanation:
1. You can either turn the fractions into decimals (1.75 and 0.125) or make the denominators the same (1 6/8 and 1/8)
2. multiplying 3/4 by the 2 to get the least common multiple, which in this case is 8. (3/4x2=6/8)
3. Divide the number of acres available (1 6/8) by the number of acres needed for each garden (1/8) to get the answer. (1 6/8÷1/8=14)
A total of 817 tickets were sold for the play. They were either adult or student tickets. There were 67 more student tickets sold than adults. How many adult tickets were sold?
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Answer:
375
Step-by-step explanation:
"817 tickets were sold"
a and s are the number of adults and students, respectively.
a+s = 817
s = 817-a
"67 more student tickets sold than adults"
s = a+67
817-a = a+67
750 = 2a
a = 375
375.
817 minus 67 = 750÷2=375
Are the ratios proportional?
10/12 and 20/32
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Answer:
no they arent
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
10/12 can be simplified as 5/6 however 20/32 turns to 10/16 which then can be simplified to 5/8
Which equation will solve the following word problem? One small pitcher and one large pitcher can hold 12 cups of water. If the large pitcher is twice the size of the small pitcher, how much does the small pitcher hold?
S = 12/2S
2S = 12/S
2S + S = 12
2S - S = 12
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Amount of water hold by both the pitchers (Large + small) = 12 cups
Let the small pitcher holds the water = S cups
If the water hold by the large pitcher is twice the size of the small pitcher, then the amount of water hold by large pitcher = 2S
Total amount water hold by both = S + 2S
Equation for this situation will be,
S + 2S = 12
Therefore, Option (3) will be the answer.
Suppose a researcher compiled a data set consisting of the following variables for a sample of 200 women. For each variable, select whether it is discrete or continuous.
Variable Discrete Continuous
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
The number of pets currently living in the household
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Answer:
Selecting whether each variable is discrete or continuous:
Discrete Variables:
The number of college football games ever attended
The number of sons or daughters
The number of countries ever visited
The number of pets currently living in the household
Continuous variables:
Pounds of chocolate consumed in the past year
Shoe size
Height in inches
Step-by-step explanation:
The researcher can distinguish a discrete variable from a continuous variable by checking if the value of the variable can be counted or measured. The researcher can count the value of a discrete variable, and she can measure the value of a continuous variable. In other words, a discrete variable represents countable objects and a continuous variable represents measurable amounts.
Using variable concepts, we have that the discrete variables are:
The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the householdThe continuous variables are:
Pounds of chocolate consumed in the past year.Shoe size.Height in inches.What are continuous and discrete variables?Continuous variables: Can assume decimal values.Discrete variables: Assume only countable values, such as 0, 1, 2, 3, ...The variables that are countable, that is, discrete, are:
The number of college football games ever attendedThe number of sons or daughtersThe number of countries ever visitedThe number of pets currently living in the householdThe ones that can assume decimal values, hence being continuous are:
Pounds of chocolate consumed in the past year.Shoe size.Height in inches.You can learn more about continuous and discrete variables at brainly.com/question/16978770
Solve for x:
1 ½ - ( 5/6x + ⅓ ) = 8/9
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Answer:
its x=1/3 :)))
Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places.
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Slope m=(y2-y1)/(x2-x1)=(10-5)/(6-3)=5/3
5=5/3*3+b
b=0
Y=5/3x
Translate the following into an algebraic expression: The product between -3 and the sum of 9 and a number, y.
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Answer:
Step-by-step explanation:
(-3) x (9+y)=
Find the length median of the trapezoid( 20 points and brainliest if answered)
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Answer:
1. 45
2.40
Step-by-step explanation:
write a five digit number with an 8 that is 10 times the value of 8 in 48,324
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Answer:
800000
Step-by-step explanation:
the 8 is 10,000, so 10 x 10,000 = 100,000
100,000 put an 8 anywhere
PLEASE HELP. Mr. Washington made several purchases for his printing business. The mean price of the purchases was $150, and the mean absolute devlatlon was $30 . Based on this informaton, which statement must be true?
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Answer:
the 4th statement
Step-by-step explanation:
first ral correct answer gets brainliest
What expression is equivalent to (-18) - 64n?
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Answer:-2(9+32n)
Step-by-step explanation:
For what values of h and k does the linear system have infinitely many solutions? 2x1 + 5x2 = −1 hx1 + kx2 = 7
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Answer:
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
Step-by-step explanation:
Let [tex]2\cdot x_{1}+5\cdot x_{2} = -1\cdot h\cdot x_{1} + k\cdot x_{2} = 7[/tex], if this linear system has infinitely many solutions, then the following conditions must be met:
[tex]-1\cdot h = 2[/tex] and [tex]k = 5[/tex].
[tex]h = -2[/tex] and [tex]k = 5[/tex]
The values of [tex]h[/tex] and [tex]k[/tex] for a linear system with infinitely many solutions are -2 and 5, respectively.
Duck #1 lays eggs whose weights are normally distributed with a mean of 70gramsand a standard deviation of 6 grams.Duck #2 lays eggs whose weights are also normally distributed with a mean of 65 grams and a standard deviation of 5 grams. If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
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Answer:
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Step-by-step explanation:
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
If an egg is randomly chosen from each duck, what is the probability that Duck #2’s egg weighs more than Duck #1’s egg?
Duck #2 egg will weigh more if the subtraction of duck's 2 egg by duck's 1 egg is larger than 0.
When we subtract normal distributions, the mean is the subtraction of the means. So
[tex]\mu = 65 - 70 = -5[/tex]
The standard deviation is the square root of the sum of the variances. So
[tex]\sigma = \sqrt{6^2+5^2} = \sqrt{61} = 7.81[/tex]
Now, we have to find 1 subtracted by the pvalue of Z when X = 0. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-5)}{7.81}[/tex]
[tex]Z = 0.64[/tex]
[tex]Z = 0.64[/tex] has a pvalue of 0.7389
1 - 0.7389 = 0.2611
26.11% probability that Duck #2’s egg weighs more than Duck #1’s egg
Help me! I’ll mark you brainly!
Answers
Use FOIL to expand and simplify:
Anthony's Locker:
A = (x + 4)(x + 2)
= x^2 + 2x + 4x + 8
= x^2 + 6x + 8 ft^2 (H)
Anthony's Math Book:
A = (x + 6)(x - 3)
= x^2 - 3x + 6x - 18
= x^2 + 3x - 18 in^2 (V)
Anthony's Lunch Box:
A = (x - 9)(x - 2)
= x^2 - 2x - 9x + 18
= x^2 - 11x + 18 in^2 (L)
Anthony's Desk:
A = (x - 5)(x + 2)
= x^2 + 2x - 5x - 10
= x^2 - 3x - 10 ft^2 (M)
Answer: What did he sayyyy
Step-by-step explanation:
I do not know hahaha
The graph shows how many bottles a machine caps in a certain number of seconds.
A graph showing number of bottles capped on the y axis and number of seconds on the x axis. A line begins at the origin and passes through the points 15 comma 300, 30 comma 600, and 45 comma 900.
Part A
What is the constant of proportionality, and what does it mean in this situation?
Use the drop-down menus to show and explain your answer.
The constant of proportionality is
Choose...
; the machine caps
Choose...
bottles in
Choose...
.Which of the following is an ordered pair on the graph? What does it represent in this situation?
(45, 90); the machine caps 45 bottles in 90 seconds.
(45, 900); the machine caps 45 bottles in 900 seconds.
(45, 900); the machine caps 900 bottles in 45 seconds.
(900, 45); the machine caps 900 bottles in 45 seconds.
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Answer:
The machine caps 900 bottles in 45 seconds
Step-by-step explanation:
15/300 is equal to 45/900
how could you use 1/8 measuring cup to measure 1/4 cups of water
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We can use 1/8 measuring cup two times.
What is measurement?The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.
Given:
A cup of measurement 1/8.
Now,
we have to measure 1/4 from the cup using cup of measurement 1/8.
So, we can measure it two times.
as, 1/8+ 1/8
= 2/8
=2/4.
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eff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A. 272.5 miles
A. 272.5 miles
B. 267.5 miles
B. , 267.5 miles,
C. 270 miles
C. 270 miles
D. 337 miles
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Answer:
267.5 miles
Step-by-step explanation
65×2.5=162.5
70×1.5=105
162.5+105=267.5
267.5Complete the table, and graph the pairs of values.
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If triangle GFE is similar to triangle CBE, find FE. Type only the number in
the answer box.
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Answer: 9
Step-by-step explanation:
The value of x from the given figure is 17 units.
Given that, triangle GFE is similar to triangle CBE.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Here,
GE/EB = FE/EC
⇒ 60/(x+5) = (4x-1)/24
⇒ (x+5)×(4x-1)=24×60
⇒ 4x²+20x-x-5=1440
⇒ 4x²+19x-1445=0
Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula.
Exact Form:
x=(−19±3√2609)/8
Decimal Form:
x=16.77938918…, -21.52938918…
x=17
Therefore, the value of x from the given figure is 17 units.
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Algebraic Expression Evaluate the expression 9x + 2 when × = 3
HELP ME
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Answer:
The value of 9x+2 when x=3 is 29
Step-by-step explanation:
Algebraic Expressions
We are given the expression
9x + 2
And it's required to evaluate the expression when the value of x is 3.
It can be done by substituting x by 3:
9*3 + 2
=27 + 2
=29
The value of 9x+2 when x=3 is 29
A group of friends were working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props?
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Answer:
They spent 112 dollars on props.
The required total 16% spend on the props is $112.
Given that,
A group of friends was working on a student film that had a budget of $700. They used 16% of their budget on props. How much money did they spend on props is to be determined.
The percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
A group of friends was working on a student film that had a budget of $700.
Budget = $700
They used 16% of their budget on props.
Total spend on the props = 700 * 16 / 100
= $ 112
Thus, the required total 16% spend on the props is $112.
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(Giving brainliest!)
Explain the following in complete sentences:
is the number 1 prime?
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Answer: No because it’s the 1st number
No
No
Explanation:
The definition of a prime number is a positive integer that has exactly two positive divisors. However, 1 only has one positive divisor (1 itself), so it is not prime. Hope it’s helps:)
8). There are five bags with 98 chocolate drops in each one. How many chocolate drops are there in total? Write the equation and give the solution.
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Answer:
490
Step-by-step explanation:
98*5+490
Answer:
490
Step-by-Step Explanation:
the equation is 5 x 98 = 490.