Answers
The value of the function notations are;
a) d(20) = 10
b) d(0) = 0
c) d(20) < d(30)
d) d(0) = 0
e) d(30) = d(40)
f) d(t) = 5, when t = 5
How to Interpret Function Notation?
The notation f(x) defines a function named f. This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y is replaced by f(x) and represents the output value, or dependent variable.
a) d(20)
The value of distance (d) when the time is 20 is; 10
b) d(0)
The value of distance (d) when the time is 0 is; 0
c) d(20) = 10
d(30) = 20
Thus;
d(20) < d(30)
d) The value of the time at d = 0 is 0. Thus;
d(0) = 0
e) d(30) = 20
d(40) = 20
Thus; d(30) = d(40)
f) d(t) = 5
The value of t at d = 5 is;
t = 5
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Related Questions
i am not sure how to do this, and i really need to get this class over with
Answers
Answer:2
Step-by-step explanation:
we know that the side are the same
[tex]\sqrt{2} ^{2} +\sqrt{2} ^{2} =y^{2}[/tex]
[tex]2+2=y^{2}[/tex]
[tex]\sqrt{4} =y[/tex]
[tex]2=y[/tex]
De 150ha se quiere construir un acuario que tenga una pileta de rectangular de 9m de largo 4 de ancho y 2. 5m de profundidad. En esta se colocara una guarda de azulejos. Que cuesta 90 pesos el metro y 50 pesos por metro a la colocacion en el borde superior de la pileta
cuantos metros de azulejos se necesitan comprar?
podrías calcular el volumen dem agua de dicha pileta para que puedan vivir alli dos focas?
calcula ma densidad de la poblacion de focas
Answers
The population density of seals is 0.0111 seals/m³.
To calculate the number of meters of tiles needed to purchase, we must first calculate the area of the pool. This can be done by multiplying the length by the width:
9m x 4m = 36m²
We then multiply this area by the depth of the pool to get the total volume:
36m² x 2.5m = 90m³
Now, to calculate the number of meters of tiles needed, we must divide the total cost of the tiles, including installation, by the cost of the tiles per meter:
90 pesos + 50 pesos = 140 pesos
140 pesos ÷ 90 pesos = 1.55 meters
Therefore, 1.55 meters of tiles must be purchased to cover the pool.
To calculate the volume of water for two seals, we must first calculate the volume of the pool, which can be done by multiplying the length by the width and then by the depth:
9m x 4m x 2.5m = 90m³
We then multiply this volume by the number of seals to get the total volume of water needed:
90m³ x 2 seals = 180m³
Therefore, 180m³ of water is needed for two seals to live in the pool.
To calculate the population density of seals, we must divide the total population of seals by the total volume of water needed:
2 seals ÷ 180m³ = 0.0111 seals/m³
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What is 5 to the fourth power?
Answers
The correct response, based on the facts provided, is 625.
What does a math power mean?
When a base number is raised to an exponent in mathematics, the exponent represents how many times the base number has been multiplied, and the base amount is the factor that is multiplied by itself.
What do you call 5 to the power of?
In mathematics and mathematics, the fifth power, or subsolid, of a number, n, is obtained by multiplying five occurrences of n around each other:[tex]n⁵ = n × n × n × n × n.[/tex]The fourth power of a number or the squares of a number of times its cube can also be used to create fifth powers.
5 to the fourth power (also written as 5⁴) is:
[tex]5 × 5 × 5 × 5 = 625[/tex]
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El perímetro del triangulo es 42 dm. Al determinar la medida de sus lados, obtiene que el valor de x es:
Answers
The perimeter of the triangle present in above figure is 42 dm. Then the value of x is equals to the 9 dm and all three sides of triangle are 9 dm, 11 dm and 22 dm.
We have a triangle present in above figure. The perimeter is the length of the boundaries of a shape. A triangle is a type of polygon with three sides. In other words, it is a closed two dimensional shape having three straight sides. So, perimeter of a triangle = sum of all three sides. Here, perimeter of triangle = 42 dm
Now, first side length of triangle= (3x - 5 ) dm
Second side length = (x + 2) dm
Third side length = x dm
Now, using perimeter formula for triangle,
=> 3x - 5 + x + x + 2 = 42
=> 5x = 42 + 5 - 2 = 45
=> x = 45/5 = 9
3x - 5 = 22 dm
x + 2 = 11 dm
So, sides of triangle are 9 dm, 11 dm and 22 dm.
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Complete question :
The perimeter of the triangle is 42 dm. By determining the measure of its sides, he obtains that the value of x is _? see the above figure
During the data preparation activities, you have identified small amount of missing numerical data. What would you do? A. I would exclude all observations with missing data. B. I would replace the missing values with the average value of that specific variable. C. Without hesitation I would exclude all variables with missing data. D. None of the above is true.
Answers
Option B is the correct answer.
The correct answer to the given question is Option B, which is "I would replace the missing values with the average value of that specific variable."What are Data Preparation activities?Data preparation activities consist of operations that change the quality, consistency, or completeness of data. These are performed to improve the data's accuracy and, as a result, the resulting insights.When it comes to numerical data, there are certain techniques you can use to deal with missing data. There are many ways to deal with missing numerical data, but one of the simplest is to use the mean or median value of the dataset to replace the missing values. This method is also known as mean imputation.Therefore, if during the data preparation activities, you have identified a small amount of missing numerical data, you should replace the missing values with the average value of that specific variable. Therefore, Option B is the correct answer. The other options such as excluding all observations with missing data, excluding all variables with missing data, and none of the above is true are not accurate.
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What is the domain of H(t)?
Answers
The domain of the given function H (t) is 0 ≤ t ≤ 40.
What is the domain of a function?
The collection of all the values for which a function is defined is known as the domain of that function.
We are given that the height of a model rocket, H (t) is a function of time since it was launched, t.
From the graph, we can see that the value of t is represented on the x- axis is ranging from 0 to 40.
Hence, the domain of the given function H (t) is 0 ≤ t ≤ 40.
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Given logbA=2.817 and logbB=0.106, evaluate logb A/BA. 2.817B. 0.299C. 2.711D. 2.923
Answers
logbA = 2.817 and logbB = 0.106 need to be used to find logb A/BA. We know that logarithms are important in mathematics and help us to solve complex problems involving exponents or roots.
They are expressed in terms of the logarithm base, which is the number or expression that is being raised to a power. It can be solved using the quotient rule of logarithms which states that logb (x / y) = logb x - logb y.
Explanation:
The given values are: logbA = 2.817 and logbB = 0.106Let us first use the quotient rule of logarithms to simplify the expression logb A/BA = logb A - logb BA. Using this rule, we get:
logb A/BA = logb A - logb B
Now we can substitute the given values in the above expression:
logb A/BA = 2.817 - 0.106
= 2.711
Therefore, the value of logb A/BA is 2.711. Hence, option (D) 2.711D is the correct answer.
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6x + 5 = 5x + 8 + 2x
Is x = 3 a solution? Explain.
Answers
A grounds committee of a housing community plans to build a basketball court in an empty rectangular field
Answers
The mathematical equation f(w) = w² - 6w provides a representation of the remaining surface area, measured in square meters, of the field following the construction of the basketball court.
The rectangular field has an area of length x width, which can be expressed as (2w)(w) = 2w² square meters.
The basketball court has an area of length x width, which can be expressed as (w)(w+6) = w² + 6w square meters.
To find the remaining area of the field after the basketball court is built, we need to subtract the area of the basketball court from the area of the rectangular field.
So the function f(w) representing the remaining area, in square meters, is:
f(w) = 2w² - (w² + 6w)
f(w) = 2w² - w² - 6w
f(w) = w² - 6w
Therefore, the function f(w) = w² - 6w represents the area, in square meters, remaining of the field once the basketball court is built.
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Complete question:
A grounds committee of a housing community plans to build a basketball court in an empty rectangular field.
1. The rectangular field-has a width of 2w meters and a length that is 13 meters longer than its width.
2. The basketball court has a width of w meters and a length that is 6 meters longer than its width.
Which function, f(w), represents the area, in square meters, remaining of the field once the basketball court is built?
Farkle flange has 2 manufacturing departments, K and Q. Otals facory overhead is $850,000. Department K is allocated $200,000 and the remainder to Department Q. Department K will use 3,800 direct labor hours and department Q will use 6,200 direct labor hours for a total of 10,000 direct labor hours at a total cost of $500,000 ($50/hr). What is the department overhead allocation rate for departments k and q, respectively?
Answers
The overhead allocation rate for Department K is $52.63 and the overhead allocation rate for Department Q is $82.26.
The overhead allocation rate for departments K and Q is calculated by dividing the overhead allocated to each department by the direct labor hours used by each department. For Department K, the overhead allocation rate is calculated by dividing $200,000 by 3,800 direct labor hours, which equals $52.63 per hour. For Department Q, the overhead allocation rate is calculated by dividing the remaining overhead of $650,000 by the 6,200 direct labor hours used by the department, which equals $104.84 costs per hour. To calculate the total factory overhead, the following formula is used:Total Factory Overhead = (Department K Overhead + Department Q Overhead) / (Total Direct Labor Hours Used) Total Factory Overhead = ($200,000 + $650,000) / (3,800 + 6,200) Total Factory Overhead = $850,000 / 10,000 .Total Factory Overhead = $85.00 per hour
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I don’t understand can you help me please
Answers
-36 = x-6 / -3
108 = x - 6
114 = x
8) Decide whether \( X \) and \( Y \) are good candidates for linear regression in the scatterplot given.
Answers
It is not possible to determine the relationship between the two variables based on this scatterplot.
The scatterplot below does not show a good candidate for linear regression because the points do not follow a clear pattern. There is no consistent trend that shows a correlation between the X and Y variables. Therefore, it is not possible to determine the relationship between the two variables based on this scatterplot.The linear regression is a statistical technique that enables the analysis of relationships between two or more continuous variables. The method attempts to find the line of best fit, which represents the overall relationship between the two variables. A scatterplot, which is a graphical display of a dataset, can be used to determine whether two variables are good candidates for linear regression.In order for two variables to be a good candidate for linear regression, they must have a strong positive or negative correlation. In other words, the points on the scatterplot must follow a clear pattern that shows a linear relationship between the X and Y variables. If there is no clear pattern or the points are randomly scattered, then it is not possible to determine the relationship between the two variables based on a linear regression model.
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Landon invested $110 in an account paying an interest rate of 4. 1% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest hundred dollars, would be in the account after 5 years?
Answers
The amount in the account after 5 years would be $137.
Continuous compound interest is a method of calculating the interest earned on a principal amount that is continuously reinvested
We can use the formula for continuous compound interest:
A = Pe^(rt)
where:
A = final amount
P = principal amount
e = Euler's number (approximately 2.71828)
r = annual interest rate (as a decimal)
t = time in years
In this case, we have:
P = $110
r = 0.041 (4.1% expressed as a decimal)
t = 5 years
Substituting these values into the formula, we get:
A = 110e^(0.0415)
A ≈ $136.69
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Please, I just need some help. I will pick brainiest! Thanks :)
The resistance of an electric stove burner element is 11 ohms. What current flows through this
element when it runs off a 220 volt line?
Answers
The current flows through the element with resistance of an electric stove burner element is 11 ohms when it runs off a 220 volt line is equals to the 20 Ampere.
The resistance of an electric stove burner element is, R = 11 ohms.
The magnitude or amount of potential
difference in a line that is voltage V
= 220 V.
We have to determine the value current flows through this element.
According to ohm's law : If all physical conditions and temperature remain constant, the voltage across a conductor is proportional to the current flowing through it. The expression is, V = I x R
here, I-> the amount of current
V--> potential difference
R--> resistance
The current value flowing through the element is written by I = V/R
=> I = 220 V/11 ohms
=> I = 20 A
Hence, the required current value is 20 A.
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Grant was making banners from cardboard as a picture to celebrate Parker‘s high school graduation. How many square inches of cardboard will Grant need for each banner that he makes?
5in
4in
8in
10in
Answers
For the standard size banner with a 1-inch margin, Grant would need approximately 1596 square inches of cardboard to make one banner.
Define the term area?The amount of cardboard needed to make a banner depends on the size of the banner. If we know the dimensions of the banner, we can calculate the area of cardboard needed.
Assuming that the banner is a rectangle, let's say its width is w inches and its height is h inches.
Then, the area of the banner can be calculated as:
Area = width x height
Area = w x h
To find out how many square inches of cardboard are needed, we need to add a margin to the dimensions of the banner to account for the thickness of the cardboard. Let's say the margin is m inches.
Then, the width of the cardboard needed is (w + 2m) inches, and the height of the cardboard needed is (h + 2m) inches.
The area of the cardboard needed can be calculated as:
Area of cardboard = (width of cardboard) x (height of cardboard)
Area of cardboard = (w + 2m) x (h + 2m)
So, the total area of cardboard needed for one banner is:
Total area of cardboard = Area of cardboard + Area of margin
Total area of cardboard = (w + 2m) x (h + 2m) + 4m(w + h + 2m)
if we assume that the banner is 2 feet wide (24 inches) and 4 feet long (48 inches), and we add a margin of 1 inch on each side, then we can calculate the total area of cardboard needed as follows:
Total area of cardboard = (24 + 2) x (48 + 2) + 4(1)(24 + 48 + 2)
Total area of cardboard = 26 x 50 + 4(74)
Total area of cardboard = 1300 + 296
Total area of cardboard = 1596 square inches
So, for this standard size banner with a 1-inch margin, Grant would need approximately 1596 square inches of cardboard to make one banner.
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Find sin(cos^-1(1/2)) and tan (sec^-1(x/3))
Answers
√3/2 and √3x / x.
The value of sin (cos-1 (1/2)) and tan (sec-1 (x/3)) are:Sin (cos-1 (1/2)):In the trigonometry section, the cosine inverse (or arccosine) is used to find the angle whose cosine value is equal to a given number.The cosine inverse (or arccosine) of a number is the angle whose cosine is equal to that number (cos-1). Therefore, cos-1 (1/2) represents the angle that has a cosine of 1/2.The sine is the ratio of the length of the opposite side to the length of the hypotenuse of a right triangle.Sin (cos-1 (1/2)) = sqrt (1 - cos2 (cos-1 (1/2)))Since cos (cos-1 (1/2)) = 1/2, we can substitute it.Sin (cos-1 (1/2)) = sqrt (1 - (1/2)2) = sqrt (3/4) = √3/2Tan (sec-1 (x/3)):The secant inverse (or arcsecant) is used to find the angle whose secant value is equal to a given number.The secant inverse (or arcsecant) of a number is the angle whose secant is equal to that number (sec-1). Therefore, sec-1 (x/3) represents the angle that has a secant of x/3.The tangent is the ratio of the length of the opposite side to the length of the adjacent side of a right triangle.Tan (sec-1 (x/3)) = sqrt (sec2 (sec-1 (x/3)))Since sec (sec-1 (x/3)) = 3/x, we can substitute it.Tan (sec-1 (x/3)) = sqrt (3/x) = √3 /√x = (√3 /√x) × (√x /√x) = √3x / xTherefore, sin (cos-1 (1/2)) = √3/2 and tan (sec-1 (x/3)) = √3x / x.
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Evaluate the expression 2p - (p + 3) +3. For p = 6
Use the CER strategy to show your work.
Answers
Answer: 9
Step-by-step explanation: sorry if it is wrong
Answer:
0
Step-by-step explanation:
2p - (p + 3) + 3
2(6) - (6 + 3) + 3
12 - (9) + 3
12 - 12 = 0
Given: y = 4x² - 7x-2
If the solutions of this equation are a and b, where a < b.
What is the value of a?
Answers
the value of a is -7/4.
Simply change x in the original equation to -1/4 to determine the value of a:
y = 4x² - 7x - 2
y = 4(-1/4)² - 7(-1/4) - 2
y = 1 - (-7/4) - 2
y = 1/4 - 2
y = -7/4
What is the equation?
Mathematically, an equation can be defined as a statement that supports the equality of two expressions, which are connected by the equals sign “=”
Two expressions are combined in an equation using an equal symbol ("="). The "left-hand side" and "right-hand side" of the equation are the two expressions on either side of the equals sign. Typically, we consider an equation's right side to be zero. As we can balance this by deducting the right-side expression from both sides' expressions, this won't reduce the generality.
from the question:
We must discover a solution for x before we can find the solutions to the equation y = 4x2 - 7x - 2. By calculating the quadratic equation while putting y equal to zero, we can achieve this:
4x² - 7x - 2 = 0
(4x + 1)(x - 2) = 0
This quadratic equation has two solutions:
4x + 1 = 0 or x - 2 = 0
4x = -1 or x = 2
x = -1/4 or x = 2
As a result, the equation has solutions a = -1/4 and b = 2, where a b.
Simply change x in the original equation to -1/4 to determine the value of a:
y = 4x² - 7x - 2
y = 4(-1/4)² - 7(-1/4) - 2
y = 1 - (-7/4) - 2
y = 1/4 - 2
y = -7/4
Therefore, the value of a is -7/4.
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An investor buys stock in a company and in the 12 months after she invests the value of the stock decreases by 30%. By what amount will the value of the stock need to go up from there in order that the price of the stock will be equal to what investor first paid for it?
Answers
The value of the stock needs to go up by 42.86% to be equal to what the investor first paid for it.
Let's say the investor initially paid $100 for the stock. A 30% decrease in the value of the stock would mean it is now worth $70. To bring the value of the stock back up to $100, it needs to increase by $30, which is 42.86% of the current value ($30/$70).
Therefore, the value of the stock needs to go up by 42.86% from its current value for the investor to break even.
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decrease 72 in the ratio 4:3
Answers
Answer:
4+3=7
4/7*72/1=288/7=41.1
3/7*72/1=216/7=30.9
41.1:30.9=4:3
Write the correct answers.
1) I am an integer in Quadrant
My a-coordinate is less than-1.
My coordinate is more than 2.
My r-coordinate is greater than-3.
• The sum of the absolute values of my coordinates is 5.
Who am 17
) Plot me on the coordinate graph.
Answers
The point (-3, 4) satisfies all the given conditions, and hence, it is the point we are looking for. The integer in Quadrant II.
How do you find a point's coordinates on the Cartesian plane?An ordered pair of integers (x, y), where x is the horizontal coordinate or the abscissa and y is the vertical coordinate or the ordinate, is used to represent a point in the Cartesian plane. With regard to the x-axis and y-axis, a point on the plane may be located using these coordinates.
Let's assume that the point has coordinates (-x, y), where x > 1 and y > 2.
Then, using the distance formula, we have:
r = √(x² + y²)
Since r > -3, we have:
√(x² + y²) > -3
x² + y² > 9
Now, absolute values of the coordinates is 5, we have:
|x| + |y| = 5
Since x < -1, we have -x > 1, which means that:
|x| = -x -1
Substituting this into the equation above, we get:
(-x - 1) + |y| = 5
|x| + |y| = 5
Subtracting -x - 1 from both sides, we get:
|y| = x + 6
Substituting this into the equation x² + y² > 9, we get:
x² + (x + 6)² > 9
2x² + 12x + 27 > 0
This inequality holds for all x.
Therefore, the point (-3, 4) satisfies all the given conditions, and hence, it is the point we are looking for. The integer in Quadrant II.
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Answer:17
Step-by-step explanation:
Properties of trapezoids UC^(9) Quadrilateral HIJK is an isosceles trapezoid, HJ=7z-94, and IK=2z+76. What is the value of z ?
Answers
The value of z can be determined by solving the equation 7z-94 = 2z+76, which yields z=35.
To determine the value of z in the given equation, it is necessary to solve the equation 7z-94 = 2z+76. Begin by subtracting 2z from both sides of the equation, which yields 7z-2z-94 = 76. Simplifying this yields 5z-94 = 76. To solve for z, add 94 to both sides of the equation, which yields 5z = 170. Dividing both sides by 5 yields z = 34. Since the equation is not asking for an exact value, it can be rounded to the nearest whole number, which is 35. Therefore, the value of z is 35.
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Suppose that there are three types of apples, indicated by Z=1,Z=2,Z=3. Let the weight of an apple be denoted by the random variable Y. Let E[Y∣Z=j]=1/(2j),E[Y2∣Z=j]=1/j,j=1,2,3. If we know that inside a mystery box of apples there are equal numbers of each cultivar, what is a) the expected value for the weight of a randomly chosen apple from the box? b) the variance of the weight of a randomly chosen apple from the box?
Answers
a) The expected value for the weight of a randomly chosen apple from the box is 11/24.
b) The variance of the weight of a randomly chosen apple from the box is 19/72.
a) The expected value of the weight of a randomly chosen apple from the box can be calculated as:
E[Y] = E[E[Y|Z]] = E[1/(2Z)] = 1/2 * (1/2 + 1/4 + 1/6) = 11/24
Therefore, the expected value for the weight of a randomly chosen apple from the box is 11/24.
b) The variance of the weight of a randomly chosen apple from the box can be calculated as:
Var(Y) = E[Var(Y|Z)] + Var(E[Y|Z])
Since E[Y|Z=j] = 1/(2j) and E[Y²|Z=j] = 1/j, we have:
Var(Y|Z=j) = E[Y²|Z=j] - [E[Y|Z=j]]² = 1/j - (1/(2j))² = (3/4) * (1/j²)
Therefore, we can calculate the variance of Y as:
Var(Y) = E[Var(Y|Z)] + Var(E[Y|Z])
= 1/3 * (3/4 * (1/1²) + 3/4 * (1/2²) + 3/4 * (1/3²)) + Var(11/24)
= 1/4 * (1 + 1/4 + 1/9) + 0
= 19/72
So, the variance of the weight of a randomly chosen apple from the box is 19/72.
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What single decimal multiplier would you use to increase by 5% followed by a 15% increase?
Answers
Answer:
(1.2075)
Step-by-step explanation:
Lets assume we are increasing a price on a $100 item to help visualize the steps.
The two steps of 5% and then 15% can each be expressed as:
5%: (1+0.05) [The 1 represents the fact that the final cost is full price (1) plus 5%(0.05)]
15% (1+0.15) [Same explanation, but now with 0.15 for 15%]
We can apply these factors individually:
Assume a base of $100:
5% increase would make it $105 [$100*(1.05)=$105]
15% increase: On top of the 5%, we would go to: $105*(1.15) = $120.75
Or we can use a single multiplier.
If we look at the steps from above, we see that the algebra consisted of taking the origianl price ($100) and multiplying it twice: once with (1+0.05) and once with (1+1.15). Write this in the form of an equation:
($100)*(1+0.05)*(1+0.15) = $120.75
Let's multiply (1+0.05)*(1+0.15)
= (1.2075)
We can use this single factor (multiplier) to find the correct/same value as before:
(1.2075)($100) = $120.75
Olivia ate at the same restaurant three times. Each visit, she ordered a sandwich and left a $2. 25 tip. She spent a total of $39. What is an equation that represents this situation, if c represents the cost of a salad?
Answers
Each visit, Olivia ordered a sandwich and left a $2. 25 tip. She spent a total of $39. Therefore, an equation that represents this situation, if c represents the cost of a salad is 4(x+2.25) = 39.
Equation:
An equation is a formula that expresses that two expressions are equal by joining them with the equal sign =.The word comparison and its cognates in other languages may have subtly different meanings; for example, in French, an equation is defined to contain one or more variables, and in English any well-formed formula composed of two expressions linked by equal signs is an equation.
According to the Question:
Let the cost of each salad = c
Therefore we can write
4(x+2.25) = 39
or, x+ 2.5 = 39
or, x = 39 − 2.5
or, x = 39 − 2.5
or, x = 26.5
Therefore, The equation that represents this situation, if c represents the cost of a salad is 4(x+2.25) = 39.
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make a mathematical expression of the dimension
Answers
The expression of the dimensions are 3w - 2 by w
How to determine the expression of the dimensionsFrom the question, we have the following parameters that can be used in our computation:
The length of a rectangle is 2 less than 3 times as long as the width
Using the following variable definitions, we have
l = the length of the rectanglew = the width of the rectangleBased on the given information, we can express the length (l) in terms of the width (w):
l = 3w - 2
Hence, the dimensions are 3w - 2 by w
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PLEASE HELLP MY WITH THIS An experiment consists of randomly drawing a card and recording its suit, then rolling a die and recording whether it is even or odd. The following tree diagram represents some of the possible outcomes. A 2-column tree diagram: Card & Die. The card column shows Heart, Diamond, & Club, each of which branches to even & odd in the Die column.What needs to be done to complete the tree diagram?
Answers
Add "Spade" to the Card column, with branches to "Even" and "Odd" in the Die column. Thus, option 3 is correct.
What is the probability?Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.
Tο cοmplete the tree diagram, we need tο add the missing branch fοr the spades suit in the card cοlumn.
Here is the cοmpleted tree diagram:
We have added the missing branch fοr the spades suit, which alsο branches intο even and οdd fοr the die rοll. We have alsο filled in the οutcοmes fοr each branch οf the tree, which include the pοssible values fοr the card (2, 3, 4, 5, 6, οr 1 fοr Ace) and the die rοll (even οr οdd).
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What is the side length of a square with the area 49 sq cm
Answers
The side length of a square with an area of 49 square centimeters is 7 centimeters.
Area is a measurement of the amount of space inside a 2-dimensional shape, such as a rectangle, square, triangle, circle, or any other polygon
The area of a square is calculated by multiplying its length by its width. For a square, however, its length and width are equal.
So, if we let "x" be the side length of the square, we can express the area as,
x^2 = 49
To solve for x, we can take the square root of both sides of the equation:
sqrt(x^2) = sqrt(49)
x = 7 centimeter
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3. Han and Tyler are following a polenta recipe that uses 5 cups of water for every 2
cups of cornmeal.
• Han says, "I am using 3 cups of water. I will need 1 1
- cups of cornmeal."
o Tyler says,"I am using 3 cups of cornmeal. I will need 7> cups of water."
Do you agree with either of them? Explain your reasoning.
Answers
What is the value of x?
Answers
Answer: 5
Step-by-step explanation:
Using the law of similar triangles,
x/x-2 = x+(x+5)/x+1+x-2
x/x-2 = 2x+5/2x-1
x(2x-1) = x-2(2x+5)
2x²-x = 2x²+x-10
2x²-2x² + x +x -10 = 0
2x-10 = 0
2x = 10
x = 5
Hope this helps! :)