Answer:
[tex]92.0 in.^{2}[/tex]
Step-by-step explanation:
The prompt said to use the conversion 1 square inch to 6.5 square centimeters.Keeping this in mind, we will divide the value of 598 square centimeters by a ratio of [tex]6.5cm^{2} : 1 in.^{2}[/tex].To do this, we will use the following equation: [tex](A_{I}) = \frac{598}{6.5} \frac{cm^{2}}{cm^{2} /in.^{2} }[/tex]
where [tex]A_{I}[/tex] represents the area of the paper in inches.\
Next, divide the numerical value of 598 by 6.5, receiving the quotient [tex]\frac{598}{6.5} \frac{cm}{cm/in.^{2} } = 92.0 \frac{cm}{cm/in.^{2} }[/tex].
Now we can adjust to find the proper units.Cancel the [tex]cm^{2}[/tex] (square centimeters unit) existing in both the numerator and the denominator, thereby leaving [tex]92.0 \frac{1}{1/in.^{2} }[/tex].
Finally, since the inverse of the inverse of a number is that same number itself ([tex]\frac{1}{1/b} = b[/tex]), we rewrite the measuring units of this quotient as [tex]92.0 in.^{2}[/tex].
Now our answer is clean and finalized for submission.
A car is traveling at a speed of 60 miles per hour. How far will the car travel
in 3 hours? (multiply x)
The car will cover a distance of 180 miles in three hours.
We know that,
s = d/ t
or d = s* t
Where, s = speed
d = distance
t = time
According to the question,
speed of the car (s) = 60 miles/ hour
Time taken (t) = 3 hours
Distance travelled (d) = s * t
= 60miles/ hour * 3 hours
= 180 miles
Hence, the distance traveled by car in 3 hours is 180 miles.
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A city has a population of 370,000 people. Suppose that each year the population grows by 6.25%. What will the population be after 8 years? Round your answer to the nearest whole number.
Answer:
Step-by-step explanation:
6.25 X 8 = 50.000 then add 370,000 + 50.000 = 420,000
The scenes and the graph relate to the reaction of X₂(g) (black) with Y₂(g) ( orange ) to form XY(g).
(a) If reactants and products are in their standard states, what quantity is represented on the graph by x?
(b) Which scene represents point 1? Explain. (c) Which scene represents point 2 ? Explain.
The point that is marked X on the graph is the standard free energy of the reaction.
What is the standard free energy of the reaction?Let us note that when we talk about the standard free energy of the reaction what we mean here is the energy of the reaction that is free to be able to do work. In the case of the standard change in the free energy, we are looking at the change of the free energy of the standard states of the substance.
The graph as we have it is trying to show the reaction profile and the reaction profile would give the difference between the free energy of the products and the reactants and this is the standard change in free energy.
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Natalie took a math quiz last week.There were 65 problems on the quiz and Natalie answers 20% of them correctly. How many problems did Natalie get correct ?
Answer:
13 problems
Step-by-step explanation:
20% is 1 part of 5; 1/5
1/5 times 65 is the same as 65 ÷ 5
65÷5=13
Chang added some chlorine to the water in the pool . The chlorine evaporated at a fixed rate every week. The table below shows the amount of chlorine f(n), in ounces, that was left in the pool after n weeks
The function that best shows the relationship between n and f(n) is;
f(n) = 24(0.5)ⁿ⁻¹
How to solve function tables?The function table below that shows the amount of chlorine is;
n 1 2 3 5
f(n) 24 12 6 3
Where f(n) is the amount in ounces, that was left in the pool after n weeks:
We can see that the value of f(n) is decreasing as n increases from the table.
Due to the fact that f(n) does not have common difference. Let us attempt tp see if it has a common ratio;
12/24 = 0.5
6/12 = 0.5
3/6 = 0.5
Using the formula for the nth term of a geometric progression is;
aₙ = arⁿ⁻¹
Where;
a represents the first term = 24
r represents the common ratio = 0.5
Thus, the equation of the function is;
f(n) = 24(0.5)ⁿ⁻¹
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The radius of a circle is 3 feet. What is the circle's area? Use 3.14 for .
Answer: [tex]A = 28.26 ft^2[/tex]
Step-by-step explanation:
The formula for the area of a circle is: A = π[tex]r^2[/tex]
We need to plug in the values from the question into the formula.
r = 3 feetuse 3.14 for π[tex]A = (3.14)(3)^2[/tex]
A = (3.14)(9)
A = 28.26
Don't forget the units! Since we found the area of the circle, we need to square the units.
[tex]A = 28.26 ft^{2}[/tex]
Really need help please
The quotient is 33x-8 and the remainder is 44.
What is quotient?
In arithmetic, a quotient is described as a quantity produced by the division of two numbers.
The quotient has widespread use throughout mathematics, and is commonly referred to as the integer part of a division, or as a fraction or a ratio.
The result of dividing 23-2-11x-8 by x+1 using synthetic division is:
23 | -2 -11x -8
x+1 | 23 21 11x
44 33x-8
I conclusion, synthetic division is also an arithmetic method for manually performing Euclidean division of polynomials, with less writing and fewer calculations than long division.
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find the coordinates of the midpoint of MN with endpoints M = (2, 3) and N = (2, 9)
Answer:
[tex](2, 6)[/tex]
Step-by-step explanation:
Midpoint Formula:The midpoint can be thought of as drawing a line between two points and then going half-way along that line, wherever that point is, is the midpoint. The vertical and distance will be cut in half.
I attached a diagram which I will be referring to in this explanation.
The main takeaway, is we have a formula, or at least somewhat of a formula:
[tex]\text{midpoint} = (x_1 + \frac{\text{horizontal distance}}{2}, y_1 + \frac{\text{vertical distance}}{2})[/tex]
But if you look at the graph, you'll notice, the vertical and horizontal distance are simply the difference in x and y values.
[tex]\text{horizontal distance} = x_2 - x_1\\\text{vertical distance} = y_2 - y_1[/tex]
This means we can substitute something into the equation.
[tex]\text{midpoint} = (x_1 + \frac{x_2-x_1}{2}, y_1 + \frac{y_2-y_1}{2})[/tex]
Now we could directly use this equation, but we can also simplify a bit, which we can do by rewriting the following: [tex]x_1\to \frac{2x_1}{2}, y_1 \to \frac{2y_1}{2}[/tex]
[tex]\text{midpoint} = (\frac{2x_1+x_2-x_1}{2},\frac{2y_1+y_2-y_1}{2})[/tex]
combining like values, you get:
[tex]\text{midpoint}=(\frac{x_1+x_2}{2}, \frac{y_1+y_2}{2}})[/tex]
And now we have a convenient formula we can use for this problem, which is the midpoint formula.
Applying the Midpoint Formula:Now all that's left to do, is plug in x and y values, and since we're adding values, the order does not matter.
[tex]\text{midpoint} = (\frac{2+2}{2},\frac{3+9}{2})\to (2, 6)[/tex]
so the answer is: [tex](2, 6)[/tex]
4. Two student groups are working on the school yearbook. They printed two batches of pages on a printer in the computer lab. The table below shows the number of pages printed by each group and the time needed to print the pages. Time in Seconds (x) 30 20 Number of Pages (y) 150 130 Write ratios for the two print jobs in the form . Do the data represent a proportional relationship? Explain.
Answer:
The ratio for the first print job is 150/30 = 5 pages per second.
The ratio for the second print job is 130/20 = 6.5 pages per second.
Since the ratios are different, the data do not represent a proportional relationship. In a proportional relationship, the ratio between two variables remains constant.
Step-by-step explanation:
Determine the value of b.
b3 = 64
b = 21.3
b = ±21.3
b = 4
b = ±4
Answer:
b = 4
Step-by-step explanation:
b^3=64
3√b = √64
b = 4
Answer:
b = 4
Step-by-step explanation:
Anton thinks that glucose is a reactant of photosynthesis, but his classmate Jamila disagrees. Who is correct, and why?
Anton is correct because glucose is a substance that is present before the chemical reaction of photosynthesis takes place.
Anton is correct because glucose is a substance that is formed from the chemical reaction of photosynthesis.
Jamila is correct because glucose is a product, not a reactant, of photosynthesis.
Jamila is correct because glucose is not involved in the chemical reaction of photosynthesis.
Answer:
C. Jamila is correct because glucose is a product, not a reactant, of photosynthesis.
Step-by-step explanation:
Photosynthesis is a process that occurs in plants and some other organisms in which energy from sunlight is used to convert carbon dioxide and water into glucose (a sugar) and oxygen. In this process, carbon dioxide and water are the reactants, and glucose and oxygen are the products. Therefore, Anton is incorrect and Jamila is correct because glucose is a product of photosynthesis, not a reactant.
Choose the fraction that is equivalent to a terminating decimal between 0.25 and 0.50.
Multiple choice question.
A)
13
B)
49
C)
720
D)
1325
The fraction that is equivalent to a terminating decimal between 0.25 and 0.50 is given as follows:
C. 7/20.
How to convert a fraction to a decimal number?A fraction is represented by the division of a term x by a term y, such as in the equation presented as follows:
Fraction = x/y.
The terms that represent x and y are listed as follows:
x, which is the top term of the fraction, is called the numerator.y, which is the bottom term of the fraction, is called the denominator.Hence the conversion from fraction to decimal for each item in this problem is given as follows:
1/3 = 0.3333, which is a non-terminating decimal.4/9 = 0.4444, which is a non-terminating decimal.7/20 = 0.35, which is a terminating decimal between 0.25 and 0.50.13/25 = 0.52, which is a terminating decimal, however is not between 0.25 and 0.50.This means that the correct option is given by option C.
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Question 1 (Multiple Choice Worth 2 points)
(02.07 MC)
Solve -3x2 + 30x - 90 = 0.
Ox=5 ± 2i√5
Ox=5±i√5
Ox=10 ± 2i√5
Ox=10 ± i √5
Answer: Choice 2. x = 5 ± i √5
Step-by-step explanation:
Use the formula
(b/2)^2
in order to create a new term. Solve for x by using this term to complete the square.
Hope this helps!
could someone help me please im stuck. thank you very much
A compound inequality for the given statement "a number is less than 24 or greater than 35" include the following:
x < 24.
x > 35.
What are the rules for writing an inequality?In Mathematics, there are four major rules that are used for writing and interpreting an inequality or compound inequality that are plotted on a graph and these include the following:
The circle on a number line should be shaded when the inequality symbol is (≥ or ≤).The circle on a number line should not be shaded (open) when the inequality symbol is (> or <).When the arrow points to the left on a number line, the inequality is either (≤ or <).When the arrow points to the right on a number line, the inequality is either (≥ or >).Assuming the unknown number is represented by the variable x, the required compound inequality would be written as follows;
Number less than 24 ⇒ x < 24.
Number greater than 35 ⇒ x > 35.
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Which statements are true about the graph of function f?
= logr
The graph has a domain of {x|0 < x < ∞o} and approaches 0 as x decreases.
The graph has a range of {yl-co < y < ∞o} and decreases as x approaches 0.
The graph has a range of {y0 < y < ∞o} and decreases as x approaches 0.
The graph has a domain of {|-∞ < x < ∞o} and approaches 0 as x decreases.
Reset
Next
Statement 1 : The graph has a domain of [tex]{x|0 < x < ∞o}[/tex]and approaches 0 as x decreases.
Statement 2 : The graph has a range of [tex]{yl-co < y < ∞o}[/tex] and decreases as x approaches 0.
What is a Logrithmic Function ?The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = bx is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.
The common logarithm, abbreviated log x, is the base-10 logarithm. The natural logarithm, abbreviated ln x, is the logarithm with base e. Positive real numbers (0, ) make up the domain of logarithmic functions with definitions of the form f(x)=logb x, whereas all real numbers (0,∞ ) make up the range (-∞, ∞).
Therefore, all positive real numbers are the domain of logx, or x ∈ (0,∞) when expressed symbolically.
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Which expression is equivalent to
O
O
0443
O√45
112
314
2
2
?
Answer:
✓2^5
Step-by-step explanation:
use the concept of indixes.
so;
By the power rule;
= (2^1/2)^2 *(2^3/4)^2
=2*(2^3/2)
2^(1+3/2)
2^5/2
✓2^5.
The value of solution of the expression is,
⇒ [tex]\sqrt{2^{5} }[/tex]
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ [tex](2^{1/2} * 2^{3/4} )^{2}[/tex]
Now, We can simplify as;
⇒ [tex](2^{1/2} * 2^{3/4} )^{2}[/tex]
⇒ [tex](2^{(5/4) } )^{2}[/tex]
⇒ [tex](2^{5/2} )[/tex]
⇒ [tex]\sqrt{2^{5} }[/tex]
Thus, The value of solution of the expression is,
⇒ [tex]\sqrt{2^{5} }[/tex]
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4000 times 73 plus 42 minus 34 equals what? I need help
Answer:
Step-by-step explanation:
1st. 4000x73+292000
2nd. 292000+42+292042
3rd. 292042-34=292008
4(-p-3q)+9q-10(6q+3p)
Answer:
-34p-63q
Step-by-step explanation:
Simplify
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PLEASE HELP ASAP
A. Describe the difference between the remainder theorem and the factor theorem
B. Using long division or synthetic division divide a polynomial function above the binomial (x-3)
C. Interpret what the solution means and how you know
D. Identify all X intercepts of the Polynomial function
A. The remainder theorem states that the value of f(a) is equal to the remainder for any polynomial f(x) when divided by the binomial x-a. The factor theorem states that (x-a) is a factor of f(x) and vice versa if a is a zero of a polynomial f(x).
B. Using long division method the quotient is x^2+2x-35.
C. The polynomial x^2+2x-35 has degree 2.
D. The x-intercepts of x^3-x^2-41x+105 are (-7,0), (3,0), and (5,0).
What are polynomials?
The word "polynomial" is derived from the Greek words "poly" and "nominal," which combined translate to "many phrases." There is no limit to the number of terms that can exist in a polynomial.
A. According to the Remainder Theorem, long polynomial division yields some polynomial q(x) when the polynomial p(x) is divided by some linear factor x-a. It can be stated as follows-
p(x)/x-a=q(x)+r(x)
A polynomial can be factored and its roots can be discovered using the factor theorem. The polynomial remainder theorem is a special instance of this one.
The factor theorem states that if f(x) is a polynomial of degree n>=1 and f(a)=0, then (x-a) is a factor of f(x). If f(x) is a polynomial and f(a)=0, where an is the root, then (x-a) is a factor of f(x).
B. Using the long division method the quotient obtained after dividing x^3-x^2-41x+105 by x-3 is x^2+2x-35.
C. The solution obtained is also a polynomial of degree 2. This is known as the highest or greatest power of a variable in a polynomial equation is referred to as the degree of the polynomial. The degree denotes the polynomial's highest exponential power.
D. The x-intercept(s), if they exist, are of the form (a,0) where x=a is a real solution to f(x)=0.
Plot the graph for the polynomial - x^3-x^2-41x+105.
Therefore, x-intercepts are found to be (-7,0), (3,0), and (5,0).
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Tiana shares a granola bar with her brothers. They each get one piece of the bar. What fraction names one part?
The fraction that names one part of the granola bar shared by Tiana and her 3 brothers is c. 1 / 4.
How to find the fraction ?Tiana has 3 brothers and they all shared a piece of the granola bar. This means that the number of people who shared the granola bar is:
= Tiana + 3 brothers
= 4 people
With each of them getting a piece of the granola bar, it means that the fraction that names one part of the bar is:
= Number of granola bars / Number of people
= 1 / 4
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The full question is:
Tiana shares a granola bar with her 4 brothers. They each get one piece of the bar. What fraction names one part?
1 / 21 / 81 / 41 / 3Find an equation for the line below. Please help!
Answer:
Step-by-step explanation:
y=1/3x-13/3
Okay so we have the points (1,-4) and (-5,-6).
Slope = (-6+4 ) / (-5-1)
Slope = -2/-6
Slope = 1/3
y=mx+b
m=1/3
Now let's take a point from the equation, and use the slope to determine b.
-4=1/3(1)+b
b=-4 1/3
Now let's combine our elements.
y=1/3x-13/3
A gardener has a rectangular flowerbed. The length of the flowerbed is 5 feet more than the width. The perimeter of the flowerbed is 70 feet. Which equation can be used to find the width w in feet
Answer:
75 = 4w
Step-by-step explanation:
Let w = width
Let w + 5 = length
Let p = perimeter ( Perimeter is given: 70 ft. )
Write the formula to find the perimeter of a rectangle
p = 2 ( l + w )
Sub the numbers in
70 = 2 [(w+5) + (w)]
Simplify the equation
70 = 2 (2w + 5)
70 = 4w + 5
75 = 4w
help would be greatly appreciated :)
Michelle worked for at least 11 hours.
How to calculate the inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. On the number line, size comparisons between two numbers are typically conducted.
The idea of inequality, which is the state of not being equal, especially in terms of status, rights, and opportunities1, is at the core of social justice theories. However, because it frequently has diverse meanings to different people, it is prone to misunderstanding in public discourse. However, some distinctions are universal.
given,
tips per day = $15
hourly rate=$9
total earnings =#110
h is the number of hours work
The equation is 9h+15[tex]\geq[/tex]110
To find the hours worked:
9h+15[tex]\geq[/tex]110
9h[tex]\geq[/tex]110 - 15
9h[tex]\geq[/tex]95
h[tex]\geq[/tex]10.55
Therefore h must at least be 11
since Michelle worked for at least 11 hours.
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Find the area of the shape.
Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as a decimal.
The area of the shape as shown in the diagram is 50.24 squared unit.
What is area?Area can be defined as the region bounded by a plane shape.
To calculate the area of the shape, we use the formula below.
Formula:
A = ∅πr²/360Where:
A = Area of the shaper = Radius of the circle the shape was formed fromπ = PieFrom the question,
GIVEN:
r = 8 ∅ = 90°π = 3.14Substitute these values into equation 1
A = 90×3.14×8²/360A = 50.24 squared unitHence, the area is 50.24 squared unit.
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24+8k using Distributive Property.
By using the distributive property, we can rewrite the expression as:
24 + 8k = 8*(3 + k)
How to rewrite the expression?The distributive property can be written as:
C*(A + B) = C*A + C*B
Now we have the expression:
24 + 8k
And we want to rewrite it by using the distributive property, to do so we need to identify the common factor.
We can rewrite the expression as:
24 + 8k
8*3 + 8k
Then we can take 8 as a common factor, then:
8*3 + 8k = 8*(3 + k)
That is the expression rewritten.
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Laila wants to create a data display to clearly show the median salary, the highest
salary, and the lowest salary of the 685 employees at her company. She is trying to
decide whether she should create a dot plot, a box plot, or a histogram of the salaries.
A sample of the data is shown below.
$25,745; $26,512; $27,322; $27,750; $29,820; $32,500; $35,448; $52,020; $63,485; $87,167
Which graph should Laila choose? Explain your reasoning by completing the sentences. Click the
arrows to choose an answer from each menu.
A dot plot Choose...
A box plot
Choose...
A histogram Choose...
So Laila should create (
Choose.
to display the data.
A Histogram from the menu should be used.
What is a histogram?A histogram is a bar graph-like representation of data that buckets a range of outcomes into columns along the x-axis. The y-axis represents the number count or percentage of occurrences in the data for each column and can be used to visualize data distributions.
Given data is $25,745; $26,512; $27,322; $27.750; $29,820; $32,500; $35,448; $52,020; $63,485: $87,167
We know that Histograms are graphs that are preferred to determine any probability distribution of data. So, the Median, maximum value, and lowest value can be easily demonstrated in "Histogram graphs"
Thus, Histograms should be used.
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2. In the computer lab, there are 2 PC for every 10 Mac computers. If the computer lab has a total of 24 computers,
how many are Macs?
A large mall conducted a survey to estimate how much money people planned to spend during the Christmas season. The survey included 5 questions asked of randomly selected shoppers between 10 AM and 4 PM on a weekday during the month of August. The survey estimate of $250 per shopper was much lower than the actual average of $400 spent per shopper from the previous Christmas season. Do you think this result reliably indicates that sales will be lower for the upcoming Christmas? Can you identify any other reason the $250 average is so far below the previous $400 figure?
August surveys may not adequately represent Christmas buyers' intentions. Surveying customers on a weekday between 10 AM and 4 PM may not capture the spending intentions of all demographic groups, resulting in a skewed sample.
It's also vital to consider economic situations, customer preferences, and promotional bargains when predicting consumer spending.
What is a survey?Generally, It is possible that the survey results do not accurately predict the actual spending during the Christmas season. Surveying shoppers in August, several months before the Christmas season, may not accurately reflect the shopping plans of consumers closer to the holiday. Additionally, surveying shoppers during a weekday and between the hours of 10 AM and 4 PM may not capture the spending plans of all demographic groups, potentially leading to a biased sample.
Another reason why the survey estimate of $250 is so far below the previous $400 figure could be due to the fact that the survey only asked 5 questions. This may not have been enough to gather enough information about the spending habits and intentions of the shoppers surveyed.
It's also worth noting that there are many different factors that can influence consumer spending, such as economic conditions, changes in consumer preferences, and the availability of promotional deals, so it's important to consider these other factors as well when trying to predict future spending.
In conclusion, the survey results do not provide a reliable indication of the sales for the upcoming Christmas. Without more information about the survey methodology and the results, it's difficult to determine the reasons for the discrepancy between the survey estimate and the actual spending from the previous Christmas season.
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Let Y1, Y2,...Yn denote a random sample size n from a population with a uniform distribution on the interval (0,θ). Consider Y(1)=min(Y1, Y2,...Yn), the smallest order statistic. First derive E(Y(1)). Find a multiple of Y(1) that is an unbiased estimator for θ.
Answer:
Step-by-step explanation:
melissa needs an overall grade of at least 85 in Algebra 1 to continue to Geometry next year. Her first trimester grade was a 72 and her second trimester was a 93. Write an inequality that can be used to find out what grade Melissa needs in the third trimester.
The inequality that can be used to find out what grade Melissa needs in the third trimester is x ≥ 90. She needs at least 90.
How to calculate the inequality?Inequalities are simply created through the connection of two expressions. In this case, it should be noted that the expressions in an inequality are not always equal. Inequalities implies that the expressions are not equal. Here, they are denoted by the symbols ≥ < > ≤.
Let the grade be represented by x. This will be:
= (72 + 93 + x) / 3 ≥ 85
165 + x / 3 ≥ 85
165 + x ≥ 255
Collect the like terms
x ≥ 255 - 165
x ≥ 90
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