you have to substitute a number for each variable and perform the arithmetic operations. In the example above, the variable x is equal to 6 since 6 + 6 = 12. If we know the value of our variables, we can replace the variables with their values and then evaluate the expression.
What is meant by arithmetic ?
The Father of Arithmetic is an Indian mathematician and astronomer by the name of Brahmagupta.The area of mathematics known as arithmetic deals with the study of numbers and the numerous operations that can be performed on them. Addition, subtraction, multiplication, and division are the fundamental mathematical operations.The difference between consecutive words is always two, hence the sequence 3, 5, 7, 9... is arithmetic. The difference between consecutive words is always minus five, hence the sequence 21, 16, 11, 6,... is also arithmetic.Since arithmetic is the most fundamental area of mathematics, it is crucial to learn and comprehend it thoroughly. Every other area of mathematics is impacted by arithmetic, which functions somewhat like the fundamental blocks for more challenging and sophisticated topics.To learn more about arithmetic refer to
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Please help me with this
Answer: cos(L) = 0.3684
Step-by-step explanation:
To solve, we need to identify what its asking first.
It wants us to find the value of the cos L
We know that Cosine is equivalent to the [tex]\frac{adjacent}{hypotenuse}[/tex] sides.
We also know that Cos L is an angle.
If we look at the picture, we first need to locate where L is. Then we need to find the cosine of it.
The adjacent side to L is 7.
The hypotenuse is 19.
we can rewrite this information into an equation:
[tex]cos (L)=\frac{7}{19}[/tex]
Since it wants cos L value to the nearest hundredth, we will use a calculator to divide.
cos(L) = 0.3684
Angelina’s family owns a mini-golf course. When discussing the business with a customer, she explains there is a relationship between the number of visitors and hole-in-one winners. If x is the number of visitors and y is the number of winners, which conclusion is correct?
The ordered pair (–3, 6) is viable.
The ordered pair (7, 2) is viable.
The ordered pair (15, –7) is viable.
The ordered pair (18, 3) is non-viable.
Answer:
look at the image and give me brainliest k thx
Step-by-step explanation:
Answer:
Step-by-step explanation:
7,2 is viable
I need it quick pls almost done with home work
E = 18.1 h will be a proportional equation for e in terms of h that matches the context.
What is proportionality?the property of having suitable proportions in terms of size, number, degree, harshness, etc.: If a defensive action against an unfair attack results in the destruction that contravenes the proportionality criterion, it may even go far beyond a justifiable defense.
Given a table of data about total earnings and working hours,
Since its given that the data is proportional thus we can make an equation in terms of earning and working hours variable.
Let "e" be the earnings of Penelope and " h" be the total working hours
Thus,
e/h = 362/20
e = 18.1h
Therefore, a proportional equation for e in terms of h that matches the context will be E = 18.1h.
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What are the like terms, coefficients, and constants in the equation 7-5x+1
Answer:
Let's define these terms:
Step-by-step explanation:
A variable is a letter that represents a number.
x and y are common variables for algebra.
A coefficient is a number next to a variable.
Ex: 8x, 8 is the coefficient for the variable x
A constant is a number without a variable.
Ex: 3, -4, and pi are examples of constants.
how to find the speed of a roller coaster math ia
To find the speed of a roller coaster, measure the distance it travels in a certain amount of time, then divide that distance by the amount of time it took to travel.
To find the speed of a roller coaster, start by measuring the distance it travels in a certain amount of time. This can be done by using a measuring tape to measure the total length of the track. Then, use a stopwatch to measure the amount of time it takes for the coaster to complete one full lap of the track. Once you have both of these measurements, divide the total distance traveled by the amount of time it took to travel. This will give you the speed of the roller coaster, given in units such as meters per second.
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two cities are 51 miles away from each other. how far would the cities be on a map that has a scale of 3 inches:17 miles?
The distance that would be between the cities on a map that has a scale of 3 inches:17 miles is 9 inches.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
The two cities are 51 miles away from each other.
3 inches:17 miles
Now,
17 miles = 3 inches
Multiply 3 on both sides.
17 x 3 miles = 3 x 3 inches
51 miles = 9 inches
Thus,
There would be 9 inches between the cities on the map.
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b. What is the value of the camper after 5 years? Round to the nearest dollar.
$13320 is the value of the camper after 5 years.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
m=23680-29600/3-2
=-5920
Now let us find the y intercept
37000=-5920(1)+b
b=37000+5920
b=42920
y=-5920(5)+42920
=-29600+42920
y=13320
Hence, $13320 is the value of the camper after 5 years.
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Solve the initial value problem
10(t+1)dydt?9y=9t,
After differentiation, The expression will be [tex]y = \frac{10}{9-t}[/tex].
What is differentiation?Differentiation is one of the two central concepts in calculus, along with integration. Differentiation is a method for finding a function's derivative. Differentiation is a mathematical technique used to calculate the instantaneous rate of change of a function based on one of its variables. Velocity, or how quickly a distance varies in respect to time, is the most common example. Differentiation's opposite is finding an antiderivative.
If x and y are two variables, then dy/dx gives the rate of change of x in relation to y. A function's derivative is represented universally by the equation f'(x) = dy/dx, where y = f(x) is any function.
dy/dx
Now,
Given right expression is[tex]10(t+1)\frac{dy}{dt}-9y=9t[/tex]
[tex]9(y+t)=(10t-10)\frac{dy}{dt}[/tex]
After differentiation: [tex]\frac{s}{dx} (x^{n}) = nx^{n-1}[/tex]
[tex]9(y+t)=10[/tex]
[tex]y = \frac{10}{9-t}[/tex]
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Two similar figures have a side ratio of 3:4. The area of the larger figure is 100 square units. What is the area of the smaller figure?
Enter fractions as decimals.
Answer:
Below
Step-by-step explanation:
the sides of the second figure are 4/3 bigger than the first
4/3 * 4/3 * 100 = 177.78 units^2
There are two sides involved in calculating area L x W
so you have to multiply by 4/3 TWICE
a strip of paper is available for each whole number length from 1 inch to 15 inches. what is the probability that if a strip is randomly selected, it can be used as the third side of a triangle with two sides of 5 and 7 inches? express your answer as a common fraction.
The third side of triangle is 7/15.
The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.
There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.
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The third side of triangle is 7/15.
The third side of a triangle must satisfy the triangle inequality, which states that the sum of any two sides must be greater than the third side. For a triangle with sides of 5 and 7 inches, the third side must be less than 5 + 7 = 12 inches. So, the possible lengths for the third side are 5, 6, 7, 8, 9, 10, 11 inches.
There are 15 total possible lengths for the strip, so the probability of randomly selecting a strip that can be used as the third side of a triangle with sides of 5 and 7 inches is 7/15.
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randy needs to buy school supplies he needs a headset that cost 30.00 he also needs notebooks that cost 3.00 each format your response using 2 decimal places
Step-by-step explanation:
If Randy needs to buy a headset that costs $30.00 and notebooks that cost $3.00 each, we can calculate the total cost of the supplies as follows:
Let's assume that Randy needs n notebooks.
The total cost of the notebooks will be $3.00 * n.
The total cost of the headset and the notebooks will be $30.00 + $3.00 * n.
So the total cost of the supplies will be $30.00 + $3.00 * n, rounded to 2 decimal places.
What is Rational Root Theorem Definition?
The Rational Root Theorem states that for a polynomial equation with integer coefficients to have a rational solution, that solution must be represented by the a factor of the constant (denoted by the variable p) divided by a factor of the leading coefficient (denoted by the variable q).
Define polynomial equation?An algebraic equation, also known as a polynomial equation, is a mathematical equation of the form P=0, where P is a polynomial with coefficients in some field, most commonly the field of rational numbers.Polynomial equations are equations formed with variables, exponents, and coefficients. It can have different exponents, with the higher one referred to as the equation's degree.A polynomial equation is a mathematical expression made up of variables, coefficients, and exponents. A polynomial function has only one independent variable.A polynomial equation is essentially a polynomial expression that has been equated to 0. 3x2 - 5 = 0 is a polynomial equation, just as 3x2 - 5 is a polynomial expression.To learn more about polynomial equation refer to:
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In the autonomous differential equation dx/dt = x(1 - x), the critical point Select the correct answer.
A. x = 0 is semistable B. x = 1 is an attractor C. x = 1 is a repeller
D. x = 0 is an attractor E. x = 1 is semistable
The correct option are: B. x = 1 is an attractor; is the critical point for the given autonomous differential equation.
Explain the term autonomous differential equation?The right-side zeros of an autonomous 1st order differential equation provide the critical points: x' = f(x)
If a sign of said function shifts from positive towards negative, f(x) = 0
a critical point becomes an attractor:if the function's sign flips from negative towards positive, is a repeller.If a function does not reverse signs just at critical point, it is semistable.These critical point characteristics reveal the behaviour of the solutions close to the critical points.The solutions would converge around the critical point around an attractor.
Solve the autonomous differential equation:
dx/dt = x(1 - x),
Put dx/dt = 0
x(1 - x) = 0
x = 0, x = 1
Thus, at x = 1.
The function changes as from positive towards negative.
So, the solution becomes critical point.
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Almost all medical schools in the united states require students to take the medical college admission test (mcat). The total score of the four sections on the test ranges from 472 to 528. In spring of 2019, the mean score was 500. 9, with a standard deviation of 10. 6.
What is the question for this so I can answer it?
Researchers are investigating the effectiveness of using a fungus to control the spread of an insect that destroys trees. The researchers will create four different concentrations of fungus mixtures: O milliliters per liter (ml/L), 1.25 ml/L, 2,5 ml/L, and 3.75 ml/L, An equal number of the insects will be placed into 20 individual containers. The group of insects in cach container will be sprayed with one of the four mixtures, and the researchers will record the number of insects that are still alive in each container one week after spraying (a) Identify the treatments, experimental units, and response variable of the experiment Treatments Experimental units: Response variable: (b) Does the experiment have a control group? Explain your answer, (c) Describe how the treatments can be randomly assigned to the experimental units so that each treatment has the same number of units.
(b) Yes, the experiment has a control group.
(c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.
a) Treatments: Four different concentrations of fungus mixtures (0 ml/L, 1.25 ml/L, 2.5 ml/L, and 3.75 ml/L).
Experimental units: 20 individual containers with a group of insects.
Response variable: Number of insects that are still alive in each container one week after spraying.
(b) A control group is used to compare the results of the treatment group to a group that is not exposed to the treatment.
In this experiment, the control group can be the group of insects that are not exposed to any of the fungus mixtures.
c) The treatments can be randomly assigned to the experimental units by randomly selecting 20 containers and assigning each of the four treatments to 5 containers.
This way, each treatment has the same number of units and the assignment of treatments to units is random, which reduces the risk of bias in the experiment.
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Determine lim x→ 4 f(x) given the definition of f(x) below. (If the limit does not exist, enter DNE.) if= -2x² + 3x - 1 if x-4
-1 if -4 < x < 1
-2x² + x if x ≥ 1
The limit as x approaches 4 of f(x) is equal to -2 * 4^2 + 3 * 4 - 1 = 15.
What is function?A function is an equation with just one solution for y for every x. A function produces exactly one output for each input of a certain type. Instead of y, it is usual to call a function f(x) or g(x). f(2) indicates that we should discover our function's value when x equals 2. Example. A function is defined technically as a relation between a set of inputs and a set of potential outputs, where each input is associated to exactly one output. A function is an equation that depicts the connection between an input x and an output y, with precisely one output for each input. Another name for input is domain, while another one for output is range.
Here,
The limit of f(x) as x approaches 4 is given by the value of f(4).
For x = 4, the definition of f(x) is:
-2x^2 + 3x - 1 = -2 * 4^2 + 3 * 4 - 1 = 15.
Therefore, the limit of f(x) as x approaches 4 is 15.
So, lim x→ 4 f(x) = 15.
The limit of f(x) as x approaches 4 is equivalent to -2 * 42 + 3 * 4 - 1 = 15.
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There is a bag filled with 4 blue and 5 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced
Another marble is taken at random.
What is the probability of getting 2 of the same colour?
Answer:
41/81
Step-by-step explanation:
There are a total of 4 blue marbles, 5 red marbles giving 9 total number of marbles
Let P(B₁) =Probability of getting a blue marble on the first draw
Let P(B₂) =Probability of getting a blue marble on the second draw
Let P(R₁) =Probability of getting a red marble on the first draw
Let P(B₂) =Probability of getting a red marble on the second draw
P(B₁) = Number of blue marbles ÷ total number of marbles = 4/9
Since the marble is replaced before the second draw, the total number of blue marbles and total number of both marbles is the same as for the first draw
P(B₂) = P(B₁) = 4/9 also
Probability of getting 2 blue marbles on 2 consecutive draws= P(B₁B₂)
= 4/9 x 4/9 = 16/81
P(R₁) = Number of red marbles ÷ total number of marbles = 5/9
P(getting a red marble on the second draw) = P(R₁R₂) = 5/9
Probability of getting 2 red marbles on 2 consecutive draws = P(R₁R₂)
= 5/9 x 5/9 = 25/81
Since we are asked the probability of getting 2 of the same color we can rephrase the same question as
P(two of same color) = P(B₁B₂ ∪ R₁R₂) = P(B₁B₂) + P(R₁R₂) = 16/81 + 25/81 = 41/81
A computer store buys a computer system at a cost of $463.80. The selling price was first at $773, but then the store advertised a 20% markdown on the system. Answer parts a and b.
Answer:
618.4
Step-by-step explanation:
Based on the given conditions, formulate: 773 x (1 - 20%)
Calculate the sum or difference: 773 × 0.8
Calculate the product or quotient: 618.4
Answer: 618.4
PLSSSS HELP IF YOU TURLY KNOW THISSS
Answer:
the Answer is x=5
Step-by-step explanation:
so all you do is 2+5 is 7 example say 2+x=4 what is 2+2=4
A pattern is emerging... the general term is
Plugging in we get, (a) Do the same thing for the recurrence T(n) = 3T(n/2) + O(n). What is the general term in this case? And what value of k should be plugged in to get the answer?
(b) Now try the recurrence , a case which is not covered by the master theorem. Can you solve this too?
The general term for the recurrence T(n) = 3T(n/2) + O(n) is O(nlog3). To get the answer, we should plug in k = log3. For the second recurrence, we cannot use the master theorem since it does not cover this case.
To solve this recurrence, we have to use the substitution method, where we guess a solution of the form T(n) = an^k and then prove that this is indeed a solution. This can be done by substituting the guessed solution back in to the recurrence. If the substitution works, then we have solved the recurrence. If not, we can try different values for a and k until the substitution works.
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Help Please, will give brainly if correct
The equation of the first and second line is y = 1.5x + 1 and y = 1.5x - 2
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on
The slope intercept form of a linear equation is:
y = mx + b
where m is the rate of change and b is the y intercept
The first line passes through the point (0, 1) and (-2, -2). Hence:
[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-1=\frac{-2-1}{-2-0} (x - 0)\\\\y=1.5x+1[/tex]
The second line passes through the point (0, -2) and (-2, -5). Hence:
[tex]y-y_1=\frac{y_1-y_1}{x_2-x_1} (x-x_1)\\\\substituting:\\\\y-(-2)=\frac{-5-(-2)}{-2-0} (x - 0)\\\\y=1.5x-2[/tex]
The equation of the line is y = 1.5x + 1 and y = 1.5x - 2
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what is the area of the region between the curves y=sinx and y=cosx that contains the point (0,0)
The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.
The area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is the integral of the absolute value of the difference between the two functions. This is expressed mathematically as:
∫|sinx-cosx|dx
Using integration by parts, we can break this integral into two parts:
∫sinx dx - ∫cosx dx
Integrating each of these parts separately and substituting in the limits of integration from 0 to 2π, we get the following:
2π - 0 - (-2π)
Simplifying, this gives us the area of the region as 4π.
Therefore, the area of the region between the curves y=sinx and y=cosx that contains the point (0,0) is 4π.
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Is the following equation open , false or true?
5x+6=6x + 11
Answer:
False
Step-by-step explanation:
Answer:
Step-by-step explanation:
5x=6x+9 then subtract 6x to get -1x=9. divide by 1 to get x=-9. this make the equation true. Therefore it is open.
A construction company is curretly working on six projects the table shows the progress of each of the projrcts represented as a decimal what Is the range of the progrese of these projects
The range of the progress of the construction company's six projects is 0.82.
The range of data is a measure of its spread. To calculate the range, you subtract the smallest value from the largest value.
The data for this problem is:
Project Progress
u 0.87
v 0.31
w 0.08
x 0.05
y 0.19
z 0.5
In this case, the smallest value is 0.05 (project x) and the largest value is 0.87 (project u), so:
= 0.87 - 0.05 = 0.82This means that the difference between the most advanced project and the least advanced project is 0.82. The range is an important measure of variability and helps in understanding the distribution of data, in this case, the progress of the construction projects.
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Determine whether the description corresponds to an observational study or an experiment Research is conducted to determine if there is a relation between heart arrhythmias and caffeine consumption. Does the description correspond to an observational study or an experiment?
The description corresponds to an observational study, which involves gathering data and information to draw conclusions without intervening in the process. Correct answer: letter D.
An experiment would involve manipulating the variables to see the effect of the manipulation. In this case, it would involve changing the caffeine consumption and observing the effect on heart arrhythmias.
In order to better understand the relationship between heart arrhythmias and caffeine consumption, researchers need to consider a variety of factors, including the amount of caffeine consumed, the timing of consumption, and any potential underlying medical conditions that could be influencing the results.
Furthermore, researchers need to ensure that the study population is large enough and diverse enough to accurately reflect the general population. Additionally, researchers need to consider potential confounding variables, such as lifestyle factors, medications, and other dietary components that could be influencing the results.
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Wats the answer to b
Answer:
Below
Step-by-step explanation:
y = 3/20 * x where y is in miles and x is in minutes
Evaluate the integral. (5x cos(6x) dx To use the integration-by-parts formula ſu du = wv - fu du, we must choose one part of 5x cos(6x) dx to be u, with the rest becoming du.
The required integration-by-parts formula of given function is 5x (1/6) sin(6x) - (5/36) cos(6x) + C.
How to integrate a function by part formula?To evaluate the integral using integration-by-parts, we need to find two functions u and dv such that their derivative is equal to the integrated, and such that the anti-derivative of dv can be easily found. The integration-by-parts formula states that:
According to question:∫ uv = u(v) - ∫ v du
Let's choose u = 5x and dv = cos(6x) dx. Then, du = 5 dx and v = (1/6) sin(6x).
Using the integration-by-parts formula, we get:
∫ 5x cos(6x) dx = 5x (1/6) sin(6x) - ∫ (1/6) sin(6x) 5 dx
The antiderivative of (1/6) sin(6x) 5 is (5/36) cos(6x), so:
∫ 5x cos(6x) dx = 5x (1/6) sin(6x) - (5/36) cos(6x) + C,
where C is the constant of integration.
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shakita is making banners for the homecoming parade she has 4 1/2 yards of felt to make banners if she need 1/4 of a yard for each banner will she have enough felt to make 10 banners if yes will she have any left over if no how much more felt will she need to make the 10 banners
Shakita will have enough felt to make 10 banners and she will have 2 yards left over
How to find the required additional bannersFirst, let's calculate how much felt Shakita needs for 10 banners using multiplication
= 10 banners * 1/4 yard per banner
= 2.5 yards
Comparing this with the amount of felt Shakita has:
Shakita has 4.5 yards of felt, and she needs 2.5 yards to make 10 banners, so she will have:
4.5 yards - 2.5 yards = 2 yards of felt left over.
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Find the value of y.
answers:
5√ 3
10
5√ 2
5
The value of y in the given triangle is 5√3. Therefore, option A is the correct answer.
What are trigonometric ratios?The sides and angles of a right-angled triangle are dealt with in Trigonometry. The ratios of acute angles are called trigonometric ratios of angles. The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
In the given triangle, one of the leg of right tringle is 5 units.
We know that, tanθ= Opposite/Adjacent
tan60° =y/5
√3 =y/5
y=5√3
Therefore, option A is the correct answer.
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A company uses a sketch to plan an advertisement on the side of a building. The lettering on the sketch is ¾ inch tall. In the actual advertisement, the letters must be 34 times as tall. How tall will the letters be on the building?
The letters in the actual advertisement will be 25.5 inches tall.
The height of the letters in the sketch is ¾ inch. To find the height of the letters on the actual advertisement, we have to multiply ¾ inch by 34.
So, ¾ inch x 34 = 25.5 inches
Therefore, the height of the letters on the building will be 25.5 inches.
It's important to understand the relationship between the sketch and the actual advertisement. In this case, the sketch serves as a visual representation to plan the design, but the size of the lettering must be adjusted to fit the intended space. In this case, the lettering needs to be 34 times larger in the actual advertisement than it is in the sketch.
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