The solution to the equation is x = 2
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
|x^3-1|-7=0
Add 7 to both sides
So, we have
|x^3-1| = 7
Remove the absolute bracket
x^3 - 1 = 7
So, we have
x^3 = 8
Take tge cube roots of both sides
x = 2
Hence, the solution is 2
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Jane is having breakfast her local coffee shop the menus offer the following. she wants to have one hot drink and one of the bakeries options. write down all the possible combinations Jane can have. The first one has been done for you
According to the information, the possible combinations that Jane can have are: Coffee and waffle, Coffee and pancakes, coffee and toast, mocha and waffle, mocha and pancakes, mocha and toast, latte and waffles, latte and coffee, and latte and toasts. In total there are 9 options.
How to identify the possible options that Jane has?To identify the possible options that Jane has, we must identify the products that are available and the combination that she wants. In this case, it is a hot drink and a bakery product.
According to the above, the possible options would be:
coffee and wafflecoffee and pancakescoffee and toastmocha and wafflemocha and pancakesmocha and toastbeats And Wafflelate and coffeebeats and toastIn total there are 9 options.
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Fifteen solid spheres are made by melting a solid metallic cone of base diameter 2cm
and height 15cm. The radius of each sphere is:
The radius of each sphere is 0.63 cm.
What is Sphere?
A spherical object with three dimensions is called a sphere. A sphere lacks vertices and edges in contrast to other three-dimensional shapes. Each point on its surface is equally spaced from its center. In other words, there is an equal distance between every point on the surface and the sphere's center.It is given that 15 solid spheres are made by melting a solid metallic cone.
The base diameter (D) of solid metallic cone is 2 cm and its height (H) is 15 cm.
So, the radius (R) of the solid metallic cone is 1 cm.
Now, volume of the cone (V) can be given as,
[tex]V = \frac{1}{3} \pi R^{2} H\\\implies V = \frac{1}{3} \pi \times 1^{2} \times 15[/tex]
Let the radius of the solid sphere be r.
Then, the volume of one sphere (V') can be given as,
[tex]V'=\frac{4}{3}\pi r^{3}[/tex]
The volume of 15 spheres can be given as,
[tex]V' \times 15=\frac{4}{3}\pi r^{3} \times 15[/tex]
Here, Volume of solid metallic cone = Volume of 15 solid spheres
[tex]\implies V = 15 \times V'\\\implies \frac{1}{3} \pi \times 1^{2} \times 15 = 15 \times \frac{4}{3}\pi r^{3}[/tex]
Solving for r, we get
[tex]r^{3} =\frac{1}{4}\\ \implies r=\sqrt[3]{\frac{1}{4}} \\\implies r= 0.63[/tex]
Therefore, the radius of each sphere is 0.63 cm.
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Which is the closest to the volume of the solid that remained?
Check the picture below.
so if we pluck the cylinder from the inside, what's leftover is that cyan ring with a height of 10, well, let's get the area of the ring and simply multiply it by its height.
[tex]\textit{area of a circular ring}\\\\ A=\pi (R^2 - r^2) ~~ \begin{cases} R=\stackrel{outer}{radius}\\ r=\stackrel{inner}{radius}\\[-0.5em] \hrulefill\\ R=15\\ r=11 \end{cases}\implies A=\pi (15^2-11^2)\implies A=104\pi \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of a hollow cylinder}}{104\pi }\cdot 10 ~~ \approx ~~ \text{\LARGE 3267.26}~in^3 ~~ \approx 3266~in^3[/tex]
the time it takes a wholesaler to fill an order follows a uniform distribution from three to six days what is the probability that they will fill an order between day 3 and 5?
The probability of filling an order between day 3 and 5 is 0.67, or 67%.
The time it takes a wholesaler to fill an order follows a uniform distribution from three to six days. To find the probability that they will fill an order between day 3 and 5, we need to calculate the cumulative probability of the uniform distribution between these two values.
The cumulative probability of a uniform distribution between two values a and b is given by:
P(a <= X <= b) = (b - a) / (max - min)
Where X is a random variable representing the time it takes to fill an order, min is the minimum value of the distribution (3 days), and max is the maximum value of the distribution (6 days).
So, for the uniform distribution between 3 and 5 days, the cumulative probability is:
P(3 <= X <= 5) = (5 - 3) / (6 - 3) = 2 / 3 = 0.67
This means that the probability of filling an order between day 3 and 5 is 0.67, or 67%. In other words, the wholesaler has a 67% chance of filling an order between day 3 and 5.
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Choose the inequality represented in the graph.
Correct option is B, the graph represents the inequality y ≤ - x + 9.
How can you spot an inequality?Both mathematical expressions that are created by joining two expressions are called inequalities. The equation's two expressions are deemed to be equal when the equals sign (=) is present. The characters >, or indicate that the two expressions are not necessarily equal in an inequality.
We may see the values that an inequality reflects by placing inequality on a number line. We create a straight line and identify the end points with either an open circle or a closed circle in order to represent inequalities on a number line.
For the given graph,
y ≤ - x + 9
Put x = 0
y ≤ 9
The above condition is correct for the given graph.
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use Pythagoras theorem to form an equation in X and show that it reduces to x²=2x-3=0
Pythagoras theorem states that in a right angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. We can represent the length of the hypotenuse as "c", and the lengths of the other two sides as "a" and "b". So the equation is:
c² = a² + b²
To form an equation in x we can use a and b as variable, so we can substitute a = x and b = x-3, the equation becomes:
c² = x² + (x-3)²
To solve for c we can expand the second square and get:
c² = x² + x² - 6x + 9
Now we can add x² on both sides and get:
x² + x² = 6x - 9 + c²
We can combine like terms and get:
2x² = 6x - 9 + c²
Now we can move all the terms to one side and get:
2x² - 6x + 9 - c² = 0
Now we have an equation of a quadratic form with variable x, which can be solved using the quadratic formula.
x² = (6/2)x - 9/2 = 3x - 9/2 = 3x - 4.5 = 0
It can also be factored to get the solutions x = 4.5, x = 0
So the solutions to this equation are x = 4.5, x = 0.
a population of bacteria, growing according to the malthusian model, doubles itself in 10 days. if there are 1000 bacteria present initially, how long will it take the population to reach 10,000?
It will take 70 days for the population of bacteria to reach 10,000 from 1000, if it is growing according to the Malthusian model and doubling itself in 10 days.
This can be calculated using the exponential growth formula: N(t) = N0 * (1 + r)^t, where N0 is the initial population size (1000), r is the growth rate (2/10 = 0.2), and t is the time in days (70).
The Malthusian model of population growth is an exponential growth model developed by Thomas Robert Malthus in 1798. It states that the population of a species increases exponentially, doubling every generation, and is limited only by the available resources.
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In analyzing the S&P 500 and the XYZ Inc. in a five-year study, the covariance (S&P 500, XYZ Inc.) is 6,317.50. What kind of linear relationship does the S&P 500 and the XYZ Inc. have?Multiple Choicea negative linear relationshipa positive linear relationshipno linear relationshipa neutral linear relationship
The S&P 500 and XYZ Inc. have a positive linear relationship.
The covariance between two variables provides information about the relationship between them, but it does not clearly measure the strength or type of the relationship. A positive covariance means that the variables move in the same direction, while a negative covariance means that the variables move in opposite directions.
In this case, the covariance between the S&P 500 and XYZ Inc. is 6,317.50, which is a positive value. This suggests that there is a positive linear relationship between the two variables, meaning that as the S&P 500 increases, XYZ Inc. also tends to increase, and vice versa. However, to fully understand the relationship between the two variables, it is necessary to calculate other measures, such as the correlation coefficient, which provides a standardized measure of the power and direction of the relationship between two variables.
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would you expect correlation coefficient between crime rate and educational attainment (% of population graduating from highs school) across metropolitan area to be correlation coefficient will be zero or close to zero. correlation coefficient will be negative. correlation coefficient will be positive. none of the above.
It is difficult to predict the exact value of the correlation coefficient between crime rate and educational attainment across metropolitan areas.
However, it is often observed that there is a negative correlation between these two variables, meaning that as the level of educational attainment increases, the crime rate decreases.
There is evidence to suggest that higher levels of education are associated with lower levels of criminal behavior and better job opportunities, which can help to reduce crime in a community.
On the other hand, there are many other factors that can affect crime rates, such as poverty, unemployment, and population density, so the relationship between crime and education is complex and multi-dimensional.
It is also possible that the correlation coefficient between crime rate and educational attainment could be close to zero or even positive in some cases, depending on the specific metropolitan area and the data available.
Therefore, it is not possible to definitively say that the correlation coefficient will be negative, positive, zero, or none of the above.
Further analysis and study would be needed to determine the specific relationship between crime rate and educational attainment in any given metropolitan area.
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This table shows values that represent an exponential function. What is the average rate of change for this function for the interval from x = 2 to x = 4?
The average rate of change for this function for the interval from x = 2 to x = 4 is 6.
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. A function is a relationship between a set of inputs and a set of allowable outputs that has the condition that each input is associated to precisely one output. Let A and B be any two non-empty sets; mapping from A to B is only a function if every element in set A has one end and only one image in set B.
Here,
The average rate of change for this function between x = 2 and x = 4 is 6.
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(b) Jodie has a body mass index of 19 and weighs 55 kilograms. Work out how tall she is. Give your answer correct to 2 decimal places.
Answer:
1.71 meters.
Step-by-step explanation:
To work out Jodie's height, we can use the formula for body mass index (BMI):
BMI = weight (kg) / height (m)^2
We know that Jodie's BMI is 19 and her weight is 55 kilograms. We can use this information to solve for her height.
Rearranging the formula to solve for height:
height = √(weight / BMI)
Substituting in Jodie's weight and BMI:
height = √(55 / 19)
height = √(2.89)
height = 1.71 meters
To 2 decimal places, Jodie's height is 1.71 meters.
With a Body Mass Index (BMI) of 19 and a weight of 55 kilograms, the height of Jodie is 1.70 meters.
We know,
BMI = Weight of a person in kilograms (w) .........(i)
Square value of height in meters (h^2)
(w) = 55 Kg
BMI = 19.
Substituting the values in equation (i),
h^2 = 55/19,
or, h^2 = 2.89 meters,
or, h = √2.89 meters,
or, h = 1.70 meters.
Therefore, at a BMI of 19 and a weight of 55 Kilograms, Jodie has a height of 1.70 meters.
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At an amusement park, five hot dogs and one drink cost $16. Two hot dogs and
three drinks cost $9. Find the cost per hot dog and the cost per drink.
On solving the provided question, we can say that the linear equation is 7x + 4y = 25.25 => x - 28 = -25.25 and cost is $35.43
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
Let x and Y represent the unknowable costs of a single hot dog and soft drink, respectively. We require two equations in order to solve for the two unknowns.
Equation 1 says that it costs $35 to buy 10 hot dogs and 5 soft drinks, or 10x + 5y = 35.
Equation 2: A total of $7.25 is spent on 7 hot dogs and 4 soft beverages, or 7x + 4y = $7.25.
[tex]10x + 5y = 35\\5y = 35 - 10x \\y = 7 - 2x \\[/tex]
[tex]7x + 4y = 25.25\\7x + 4(7-2x) = 25.25\\7x + 28 - 8x = 25.25\\-x + 28 = 25.25\\x - 28 = -25.25[/tex]
cost is $35.43
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due today please hurry + brainliest
This graph shows a proportional relationship.
What is the Constant of Proportionality?
Why is the graph proportional? How do you know? What do you see? Explain.
The constant of proportionality is 6.
How to find the Constant of Proportionality?
The constant of proportionality is the ratio that relates two given values in what is known as a proportional relationship. It is also known as unit rate and it is usually expressed by k.
Mathematically, k = y/x.
To find the Constant of Proportionality, pick any point from the graph. That is:
Point (20, 120). Thus, x = 20, y = 120
Constant of Proportionality (k) = y/x
k = 120/20 = 6
The graph is proportional because the Constant of Proportionality of nay point on the graph is the same.
What I see is that the graph starts from the origin. That is the initial value of x and y are zero.
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An investor invested some of his $42000 portfolio in a 2% term for one year and the rest in a mortgage investment that paid 4.5% for the same year. How much did he invest in the term
if the total investment averaged 3.75% for the year?
Using simultaneous equations, the investor invested $7,560 in the 2% term, if the total investment averaged 3.75% for the year.
What are simultaneous equations?Simultaneous equations are a system of equations solved concurrently.
The solutions to a system of equations are found at the same time.
The total investment in the portfolio = $42,000
Investment in a 2% term for one year = a
Investment in 4.5% mortgage for one year = b
The average earnings from the investment = 3.75%
Equations:a + b = 42,000... Equation 1
(0.02a + 0.045b) ÷ 2 = 0.0375
0.01a + 0.0225b = 0.0375... Equation 2
Multiply Equation 1 by 0.0225:
0.0225a + 0.0225b = 945 ... Equation 3
Subtract Equation 2 from Equation 3:
0.0225a + 0.0225b = 945
-
0.01a + 0.0225b = 0.0375
0.0125a = 944.9625
a = 7,560
= $7,560
b = 42,000 - 7,560
b = 34,440
= $34,440
Thus, the investor invested $7,560 in the 2% term and $34,440 in the mortgage.
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-x+4y=32
answer correctly and you will get brainliest
Answer:
y = 1/4x + 8
Step-by-step explanation:
-x+4y=32
4y = x + 32
y = 1/4x + 8
43°40' = radians
(Round to the nearest thousandth.)
well, we know there are 60 minutes in 1 degree, so in 40 minutes that'll be 40/60 degrees or namely 2/3 of a degree.
We know that 180° is π radians, so let's find 43 ⅔ degrees
[tex]\stackrel{mixed}{43\frac{2}{3}}\implies \cfrac{43\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{131}{3}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\begin{array}{ccll} degrees&radians\\ \cline{1-2} 180&\pi \\\\ \frac{131}{3}&x \end{array}\implies \cfrac{180}{~~ \frac{ 131}{3 } ~~} = \cfrac{\pi }{x}\implies \cfrac{\frac{180}{1}}{~~ \frac{ 131}{3 } ~~} = \cfrac{\pi }{x} \implies \cfrac{180}{1}\cdot \cfrac{3}{131}=\cfrac{\pi }{x} \\\\\\ \cfrac{540}{131}=\cfrac{\pi }{x}\implies 540x=131\pi \implies x=\cfrac{131\pi }{540}\implies x\approx 0.762~radians[/tex]
Pls help- Using linear combination method find the solution to this system of equations.
−4x+9y=9
x−3y=−6
Question 2- Using the substitution method, find the solution to this system of equations.
−3x+3y=4
−x+y=3
The solution to this system of equations −4x+9y = 9 and x−3y = − 6 is,
(10, 5)
By using the substitution method, the solution to this system of equations −3x + 3y = 4 and −x + y = 3 is, No solution
What is the equation of line?The equation of a straight line is a relationship between x and y coordinates, The general equation of a straight line is y = mx + c, where m is the slope of the line and c is the y-intercept.
Given that,
System of equation,
−4x + 9y = 9
4x − 4×3y = − 4×6 (multiplying equation by 4)
0 - 3y = -15
y = 5
−4x + 9×5 = 5
-4x = -40
x = 10
Second, system of equations
By substitution method,
−3x + 3y = 4
−x + y = 3
Both the lines are parallel ,
so they will never intersect each other
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The value of x, obtained using the condition of proportional ratio of the lengths of the sides of similar triangles, is x = 11
What are similar triangles?Similar triangles are triangles that have the same interior angles, such that the three interior angles of one triangle are congruent to the three interior angles of the other, similar triangles, but the lengths of the sides of the triangles may vary.
The triangles ΔQRS and ΔTUV are similar. Based on the location of the obtuse angle ∠R and ∠T, and the longest sides, RS and UV, we get;
[tex]\frac{RS}{UV} = \frac{RQ}{UT}[/tex]
Therefore, we get;
[tex]\frac{54}{36} = \frac{24}{x+5}[/tex]
54 × (x + 5) = 24 × 36
54·x + 54 × 5 = 24 × 36
54·x = 24 × 36 - 54 × 5 = 594
x = 594 ÷ 54 = 11
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Half of the sum of two numbers is 12, while one-fourth of their product is 35. Find the numbers.
A triangle ha ide length of 200 unit and 300 unit what i the inequality for the range of the poibly length for the 3rd ide
The inequality for the range of the possible length for the third side is 100<x<500.
Inequalities can be defined as expressions that involve the use of symbols such as >, <, ≥, and ≤. In order to solve an inequality, we need to find what is called its range, or ranges, which are values that can satisfy the given inequality.
We already know that no side of a triangle can exceed the sum of the other two sides. The third side needs to be less than 500 (300 + 200) and greater than 100 ( 300 - 200)
So, our inequality is ⇒ 100<x<500.
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the diagram below of triangle OPQ, R is the midpoint of OQ and S is the
point of PQ. If RS =-3x+38,
and OP = 4x -14, what is the mea
52
The measurement of the angle OP is 39
How to find the measure of OP?The given parameters that will help us to answer the question are
R is mid point of OQ
S is mid point of PQ
RS = 3x + 38
OP = 4x- 14
R is mid point of OQ and S is mid point of PQ;
By using mid point theorem
[1/2][OP] = RS
This implies that So,
[1/2][3x + 38] = [4x- 14]
[3x+38] = 2[4x- 14]
Opening the brackets we have
3x+38=8x-28
Collecting like terms
3x-8x=-28-38
-5x=-66
Making x the subject of the relation we have
x = -66 / -5
x = 13.2
Therefore RS = 3(13.2) + 38 = -11.4
OP = 4(13.2)- 14=38.8
Measurement of OP = 39 approximately
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Anna want to ell toy car at a craft fair for $ 12 each. The material for each car cot $ 3. 50 and the table rental at the fair i 34 dollar for the day. How many car mut anna ell for her revenue to equal her expenence
The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.
Algebra with one variableTo calculate the algebra with one variable, sum up all the same variable and count the value.
Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.
Find the toy cars must Anna sell for her revenue to equal her expense!
We have
Price of each toy car = $12Material of each toy car = $3.5Rental table = $34 per dayLet's say
a = the number of toy cars soldRevenue = Expense
a × $12 = (a × $3.5) + $34
12a = 3.5a + 34
12a - 3.5a = 34
8.5a = 34
a = 4 toy cars
Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.
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if a pair of distinct dice are rolled one time, ( one die is red and one die is blue ) how many ways can the sume of the dice equal 6?
There are 5 ways that the sum of the dice be equal to 6 if a pair of distinct dice are rolled one time
What is permutation?It is the ordered arrangement of members belonging to a set with no repeats.
Analyzing the possibilities for the sum of the dice be equal to 6, assuming that each die has six sides:
Red die = 6 sides
Blue die = 6 sides
The possibilists are:
(Bleu, red)
(1,5)
(2,4)
(3,3)
(4,2)
(5,1)
There are 5 ways to get at sum of 6 if a pair of distinct dice are rolled one time
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three semicircles of radius 1 are constructed on diameter $\overline{ab}$ of a semicircle of radius 2. the centers of the small semicircles divide $\overline{ab}$ into four line segments of equal length, as shown. what is the area of the shaded region that lies within the large semicircle but outside the smaller semicircles? express your answer in terms of $\pi$ and in simplest radical form.
(E) 7/6 π-√3/2
We divided the white region into 5/6 of a circle with radius $1$ and two equilateral triangles with side length $1$ by drawing four lines from the intersection of the semicircles to their centers. This gives the white region a size of 5/6 π+2. √3/4=5/6π+√3/2. The area of the shaded region is equal to the area of the white region minus the area of the large semicircle. This is equal to 2 π-(5/6 π+√3/2)=7/6 π-√3/2.
Note
First, it is 5/6 of a circle because the middle sector has a degree of 180-2.60=60, resulting in 60/360=1/6 of a circle.
The other two each have an area of 180-60/360=1/3 of a triangle
Therefore, the total fraction of the circle IS 1/6+2.1/3=1/6+4/6=5/6
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AC=14 and AB= 3. find BC
In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context. We can write the values of AB and BC as -AB = 6 units,AC = 8 units
What are algebraic expressions?Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.
Given is that -
{B} is between {A} and {C}. Also : AB = 2x, BC = 3x - 1, AC = 14.
We can write -
AC = AB + BC
14 = 2x + 3x - 1
5x = 15
x = 3
So -
AB = 2 x 3 = 6
AC = 3 x 3 - 1 = 8
Therefore, we can write the values of AB and BC as -
AB = 6 units
AC = 8 units
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a perfectly competitive firm has the following short-term cost function and corresponding marginal cost function: srtc = q2 30q 400 srmc = 2q 30
A perfectly competitive firm will produce 10 units of output at a market price of $50 by setting its marginal cost (SRMC) equal to the market price: 2q + 30 = 50. The short-run supply function of this firm is q = 10 when p = $50.
a. If the market price is $50, this firm will produce the output level at which the marginal cost (SRMC) equals the market price. To find this output level, we set the marginal cost equal to the market price:
2q + 30 = 50
2q = 20
q = 10
So the firm will produce 10 units of output at a market price of $50.
It is not necessarily true that $50 is a long-run equilibrium price. In the long run, a perfectly competitive firm will exit the market if the market price is lower than its average total cost, and it will enter the market if the market price is higher than its average total cost. Therefore, to determine if $50 is a long-run equilibrium price, we need to know the firm's average total cost.
b. The short-run supply function of a perfectly competitive firm is the relationship between the market price and the quantity of output that the firm is willing and able to produce. It is found by combining the cost function (SRTC) and the profit-maximizing rule (producing at the level where marginal cost equals the market price).
The equation of the short-run supply function is:
q = (50 - 30)/2 = 10 units of output at a market price of $50
So the short-run supply function of this firm is:
q = 10 when p = $50
Complete Question:
A perfectly competitive firm has the following short-run cost function: SRTC = q2+30q+400
The corresponding short-run marginal cost function is given by: SRMC = 2q + 30
a. If the market price is $50, how much output will this firm produce? Is $50 a long-run equlibrium price? Explain your reasoning.
b. Find the equation of this firm's short-run supply function.
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by using taylor seriwsone can be sure that for all values of x that satisfy |x|<1/2, |cosx-(1-x^2/2)| is less than or equal to what numerical value
For all values of x that satisfy |x| < 1/2, |cos(x) - (1 - x^2/2)| is less than or equal to a very small positive number.
The Taylor series for cos(x) is:
cos(x) = 1 - x²/2 + x⁴/4! - x^6/6! + ...
So, if |x| < 1/2, then:
|cos(x) - (1 - x²/2)| = |x²/2 - x⁴/4! + x⁶/6! + ...|
This expression on the right-hand side is a sum of absolute values of the terms in the Taylor series expansion of cos(x), which are all positive for |x| < 1/2. Therefore, the absolute value of the expression on the right-hand side is less than or equal to the sum of all of these positive terms, which approaches 0 as x approaches 0.
Therefore, for all values of x that satisfy |x| < 1/2, |cos(x) - (1 - x²/2)| is less than or equal to a very small positive number.
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PLEASE HELP NOW PLEASE
Use the order of operations to simplify the statement: 38÷[(−2)4+|−27÷9|]−(−18). Start with the innermost set of grouping symbols. Show all your work.
The value of the expression is 10.4
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
38÷[(−2)4+|−27÷9|]−(−18).
From the innermost grouping, we have
38÷[(−2)4+3]−(−18).
Remove the inner bracket
38÷[-8+3]−(−18).
So, we have
38 ÷ [-5] + 18
Evaluate
10.4
Hence, the solution is 10.4
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Literally someone who knows this answer this please:
Answer:36
Step-by-step explanation:
Answer:
Step-by-step explanation:
A proportional relationship between two variables, x and y, is such that there is a constant of proportionality, k, that exists between the two variable, such that, y = kx.
Constant of proportionality (k) = y/x.
9) The relationship is proportional because 18% of dinner bill is being donated to local schools
So 18% of 50 is 9
So out of $50 of dinner bill, $9 will go towards donation.
10) No, the relationship is not proportional.
The cost of mailing6-ounce letter cannot be determined
a sinusoidal graph has a maximum at the point (4,12) and a minimum at the point (11,5). determine the midline of the graph.
The midline of the graph is a horizontal line with y = 8.5.
The midline of a sinusoidal graph is the average of its maximum and minimum values, which represents the average height of the graph over one period. To find the midline, we need to find the average of the y-values of the maximum and minimum points.
The maximum point is (4,12) and the minimum point is (11,5), so the average of the y-values is (12+5)/2 = 8.5. This represents the y-intercept of the midline, which is a horizontal line. Therefore, the midline of the graph is a horizontal line with y = 8.5.
The midline of a sinusoidal graph separates the graph into two parts: the portion above the midline, where the graph is increasing, and the portion below the midline, where the graph is decreasing. The midline also provides important information about the amplitude and frequency of the graph.
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