Answer:
52750
Step-by-step explanation:
Step 1: Identify the digit in the tens place:
The digit in the tens place is always 2 spaces to the left of the decimal.Thus, the digit in the tens place is 5 (the one sandwiched between 7 and 4).Step 2: Examine the digit to the right of the tens place:
In this case, the digit to the right of the tens place is 4.Step 3: Determine the rounding:
When the digit to the right of the tens place is 5 or greater (5, 6, 7, 8, or 9), you round up the tens place digit by adding 1 to the digit in the tens place.Also, we remove the decimal point and everything to the left of it, using a whole number only.When the digit to the right of the tens place is less than 5 (4, 3, 2, 1, or 0), you keep the tens place digit as it is and the number to right of tens place digit it replaced by 0.We still remove the decimal point and everything to the left of it, using a whole number only.Since the digit to the right of the tens place is 4 (which is less than 5), we keep the tens place digit as is.
Original number: 52754.1683
Rounding to the nearest ten: 52750
Thus, rounding 52754.1683 to the nearest ten gives us 52750.
2x + y ≤ 2
a. change the inequality into slope-intercept form, and then change it into an equation.
b. create a table. Use the x-values indicated
c. Graph the points and draw a line.
d. Shade the solution area.
e. Check your solution. Use (0,0) as your test point and see if it satisfies the conditions of the original inequality.
Two math students were asked to write an exponential growth equation that had a starting value of 300 and a growth rate of 2%. Pierre thinks the answer is y=300(1.02)^x and Scott thinks that the answer is y=300(1.2)^x. Are either of them right and why?
Incorrect, the correct exponential growth equation as it accurately represents a starting value of 300 and a growth rate of 2%. Scott's equation
Neither Pierre nor Scott has the correct exponential growth equation.
The exponential growth equation represents a relationship where a quantity increases or grows exponentially over time. It is typically represented as y = a(1 + r)^x, where "a" represents the initial or starting value, "r" represents the growth rate (expressed as a decimal), "x" represents the time or number of periods, and "y" represents the resulting value after the growth.
In this case, Pierre's equation is y =[tex]300(1.02)^x.[/tex]This equation suggests a growth rate of 2% (0.02 as a decimal), which means that the quantity would increase by 2% with each period. This aligns with the given growth rate of 2%. Thus, Pierre's equation is correct.
On the other hand, Scott's equation is y = [tex]300(1.2)^x[/tex]. This equation suggests a growth rate of 20% (0.2 as a decimal), which means that the quantity would increase by 20% with each period. However, the given growth rate is 2%, not 20%. Therefore, Scott's equation is incorrect.
To summarize, Pierre's equation, y = 300(1.02)^x, is the correct exponential growth equation as it accurately represents a starting value of 300 and a growth rate of 2%. Scott's equation, y = 300(1.2)^x, does not match the given growth rate and is therefore incorrect.
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TriangleTriangle WXY with vertices W(8,-8), X(5,-2), and Y(3,-4) is drawn inside a rectangle, What is the area, in square units, of triangle LMN?
The area of the triangle whose dimensions are given in a vertices form would be = 9
How to calculate the area of a triangle given above?To calculate the area of the triangle, the formula that should be used is the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2
Where; W=A, X= B, Y = C
Ax= 8
By= -2
Cy= -4
BX= 5
Ay = -8
CX= 3
That is:
= 8(-2--4)+5(-4--8)+3(-8--2)/2
= 16+20-18/2
= 18/2
= 9
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Pleaseseee help
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable
The correct equations are:
[tex]3x + 2 = 11 \\\[5y - 7 = 18\][/tex][tex]\frac{2}{3}x - \frac{1}{4} = \frac{5}{6}\\\frac{3}{5}y + \frac{2}{7} = \frac{1}{3}[/tex][tex]\[2(4x - 3) = 10\][/tex][tex]\[0.5x + 0.25 = 1.75\][/tex]1. Two one-step equations:
[tex]\[3x + 2 = 11\]\[5y - 7 = 18\][/tex]
2. Two equations that contain fractions:
[tex]\[\frac{2}{3}x - \frac{1}{4} = \frac{5}{6}\]\[\frac{3}{5}y + \frac{2}{7} = \frac{1}{3}\][/tex]
3. One equation with distributive property:
[tex]\[2(4x - 3) = 10\][/tex]
4. One equation with decimals:
[tex]\[0.5x + 0.25 = 1.75\][/tex]
5. Real-world problem solved by an equation:
A bakery sells cakes for $[tex]15[/tex] each. Let's say the total cost of cakes sold in a day is $[tex]180[/tex]. We can use the equation [tex]\(15x = 180\)[/tex] to find the number of cakes sold, represented by the variable [tex]x[/tex]. Solving the equation, we find [tex](x = 12\)[/tex]), indicating that the bakery sold [tex]12[/tex] cakes that day.
Here's a basic explanation for the real-world problem:
Imagine there is a bakery that sells cakes for $[tex]15[/tex]each. We want to find out how many cakes the bakery sold in a day if the total revenue from cake sales is $[tex]180[/tex]. To solve this problem, we can use an equation. Let's represent the number of cakes sold as [tex]x[/tex].
The equation [tex]\(15x = 180\)[/tex] is used to express that the total cost of the cakes sold [tex](\$15\ per \ cake)[/tex] is equal to $[tex]180[/tex]. To solve the equation, we divide both sides by [tex]15[/tex] to isolate the variable [tex]x[/tex]. The equation simplifies to [tex]\(x = 12\),[/tex] which means that the bakery sold [tex]12[/tex] cakes that day.
By using the equation, we can determine the number of cakes sold based on the given information and calculate the desired result.
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Taylor recorded Weekly grocery expense for the past 16 weeks and determine the mean weekly expense was $83.20 later she discovers that one week expense of $90 was incorrectly recorded at $38. What is the mean
The mean weekly expense, after correcting the incorrectly recorded week, is $81.25.
How to solveGiven that Taylor recorded the past 16 weeks' expenses, excluding the incorrect recording of $90 as $38, we have 15 correct expense values.
Sum of correct expenses = $83.20 * 15 = $1248
Now we need to include the corrected expense of $90 instead of $38.
New sum of expenses = $1248 - $38 (incorrectly recorded) + $90 (corrected) = $1300
Finally, we calculate the mean by dividing the new sum by the total number of weeks, which is 16.
Mean weekly expense = $1300 / 16 = $81.25
Therefore, the mean weekly expense, after correcting the incorrect recording, is $81.25.
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Find the area of each shape
The area of a triangle is 24 square feet and the area of a trapezium is 50 square feet.
From the given figure, the dimensions of trapezium are parallel sides a=7 ft, b= 13 ft and height = 5 ft.
Here, area of trapezium = 1/2 (Sum of parallel sides)×Height
= 1/2 ×(7+13)×5
= 1/2 ×20×5
= 50 square feet
Dimensions of triangle are base = 8 ft and height = 6 ft
Area of a triangle = 1/2 ×8×6
= 24 square feet
Therefore, the area of a triangle is 24 square feet and the area of a trapezium is 50 square feet.
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Can somebody please help me thank tou
Answer:
Step-by-step explanation: On the left side find the number that is able to make that sum true for that equation. on the right side you just subtract the answer with the number to get your answer.
Answer:
Step-by-step explanation:
I Think this is the answer
On the left side find the number that is able to make that sum true for that equation. on the right side you just subtract the answer with the number to get your answer
if a student is a sophomore what is the probabillty that they travle the world
Traveling the world is a popular dream for many people, including students. While there is no way to know for sure what the probability is that a sophomore student will travel the world, there are some factors that may influence their likelihood of doing so.
For example, students who have access to financial resources and support from their families may be more likely to travel than those who don't. Additionally, students who are studying subjects that are related to travel, such as international relations, may be more interested in exploring the world.
There are also other factors that can influence a student's travel plans, such as personal preferences, cultural background, and availability of opportunities. Ultimately, the decision to travel the world is a personal one that depends on a wide range of factors.
In summary, there is no definitive answer to the question of what the probability is that a sophomore student will travel the world. However, there are many factors that can influence their likelihood of doing so.
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If (2x-7), (x-1), 3x, x, (x+2), 30 and 10
1. Find the value of x
2. Find the value of the largest angle
PLEASE HELP ME ASAP
The value of x in arithmetic progression is 5/3 and the largest angle is 30.
The given sequence is: (2x-7), (x-1), 3x, x, (x+2), 30, 10.
In an arithmetic progression, the common difference (d) between consecutive terms remains constant.
The common difference between the terms = (x - 1) - (2x - 7) = x - 1 - 2x + 7 = 6 - x
6 - x = 3x - (x - 1)
6 - x = 3x - x + 1
6 - x = 2x + 1
-x - 2x = 1 - 6
-3x = -5
x = -5 / -3
x = 5/3
Therefore, the value of x is 5/3.
2x-7 = 2 ×5/3 -7 = -3.66
x-1 = 5/3-7 = -5.33
3x = 3 × 5/3 = 5
x + 2 = 5/3+2 =3.66
Thus, the largest angle is 30.
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Your question is incomplete, most probably the full answer is:
If (2x-7), (x-1), 3x, x, (x+2), 30 and 10 are in AP, then
1. Find the value of x
2. Find the value of the largest angle
100 Points! Geometry question. Photo attached. Name the angle of depression and the angle of elevation in each figure. Thank you!
Answer:
carnival one
elevation = SWT
depression = RTW
deer one
elevation = ABC
depression = DCB
Step-by-step explanation:
What is the equation for this line?
y=2/3x-4 is the equation of the line where 2/3 is the slope.
We have to find the equation of line which is passing through points (0, -4) and (3, -2).
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.
Slope = -2+4/3-0
=2/3
Now let us find the y intercept.
-4=2/3(0)+b
b=-4
The equation of line is y=2/3x-4.
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On an exam students are asked to list 5 historical events in the order in which they occurred. A student randomly orders the events. what is the probability that the
The probability that the student chooses the correct order is 1/120 or approximately 0.0083, which is equivalent to 0.83%.
How to solveIf the student randomly orders the events, there is only one correct order out of all possible permutations.
Hence, the likelihood of selecting the accurate sequence is equal to 1 over the total count of potential arrangements.
As there are 5 occurrences, the overall count of conceivable sequences is equivalent to 5 factorial (5!), amounting to 120.
Therefore, the probability that the student chooses the correct order is 1/120 or approximately 0.0083, which is equivalent to 0.83%.
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On an exam, students are asked to list 5 historical events in the order in which they occurred. A student randomly orders the events. What is the probability that the student chooses the correct order?
find the invoice total, the amount should be paid after cash discount, the total amount due including shipping and insurance.
The total invoice is $788.80, we find this by find the cost of each item.
To find the invoice total, we need to calculate the total cost of each item.
For the tablecloth:
Quantity: 16
Unit Price: $35.00
Total Cost = Quantity × Unit Price = 16 × $35.00 = $560.00
For the rings:
Quantity: 8
Unit Price: $6.50
Total Cost = Quantity × Unit Price = 8 × $6.50 = $52.00
For the cups (cases):
Quantity: 4 cases
Unit Price: $25.30
Total Cost = Quantity × Unit Price = 4 × $25.30 = $101.20
For the bowls:
Quantity: 12
Unit Price: $6.30
Total Cost = Quantity × Unit Price = 12 × $6.30 = $75.60
Now, let's calculate the invoice total by adding up the total costs of each item:
Invoice Total = $560.00 + $52.00 + $101.20 + $75.60
= $788.80
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1. What will the coordinates of Triangle RST be after it is translated 4 units down and 3 units left?
--5-5
R
Da
4
64
5-
4
3-
bo
24
4
10
=arpy 5
-3
--5-
1 2 3 4 5 6 x
O Re(-7,-2), Sc(2, -1), Tc(-1,-9)
ORE(-1,-2), Sc(8,-1), Tc (5,-9)
ORE(-1,6), Sc(8,7), TC(5, -1)
O Re(-7,-2), Sc(8,-1), Tc(-1,-1)
The coordinates of the Triangle RST after it is translated 4 units down and 3 units to the left is the option;
R¢(-7, -2), S¢(2, -1), T¢(-1, -9)
What is a translation transformation?A translation transformation is one in which the location of the pre-image is transformed from its initial location to the destination location.
The coordinates of the vertices of the triangle RST are; R(-4, 2), S(5, 3), T(2, -5)
The translation transformation that is applied on the triangle RST includes;
A vertical translation 4 units downwards
An horizontal translation 3 units to the left
The translation transformation is therefore; T₍₋₃, ₋₄₎
Therefore, applying each transformation, we get;
R(-4, 2) ⇒ T₍₋₃, ₋₄₎ ⇒ R¢(-4 -3, 2 - 4) = R¢(-7, -2)
S(5, 3) ⇒ T₍₋₃, ₋₄₎ ⇒S¢(5 - 3, 3 - 4) = S¢(2, -1)
T(2, -5) ⇒ T₍₋₃, ₋₄₎ ⇒ T¢(2 - 3, -5 - 4) = T¢(-1, -9)
The correct option is therefore, the first option
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What is this answer? Cant figure out nor parents
Answer:
A. 144
D. √9 * √16.
Step-by-step explanation:
The product property of square roots states that for any two numbers (a and b), where both are greater than or equal to 0, the square root of a product is equal to the product of the square root:
[tex]\sqrt{ab}=\sqrt{a} *\sqrt{b}[/tex]
Thus, √(9 * 16) is equivalent to √9 * √16.
We can see this mathematically if we evaluate the expressions:
[tex]\sqrt{(9*16)}=\sqrt{9}*\sqrt{16}\\ \sqrt{144}=3*4\\ 12=12[/tex]
Thus, the answers are A and D.
If you can only choose one answer, choose D because the question didn't explicitly ask us to evaluate √(9 * 16).
If you can choose multiple answers, choose A and D.
find the surface area
The Surface area of Triangular Prism is 132 cm².
We have have the dimension of prism as
Sides = 3 cm, 4 cm, 5 cm
and, l = 10 cm
and, b= 4 cm
Now, Surface area of Triangular Prism as
= (sum of sides) l + bh
= (3 + 4 + 5)10 + 4 x 3
= 12 x 10 + 12
= 120 + 12
= 132 cm²
Thus, the Surface area of Triangular Prism is 132 cm².
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Create TWO equivalent expressions for the following.
14(8−16x)+3x
Two equivalent expressions for the given expression 14(8 - 16x) + 3x are 112 - 221x and 112 - 221x.
Equivalent expression 1:
Expanding the expression 14(8 - 16x) and combining like terms, we get:
112 - 224x + 3x
Simplifying further, we have:
112 - 221x
Equivalent expression 2:
Distributing the coefficient 14 to both terms inside the parentheses, we have:
112 - 224x + 3x
Combining the terms with the same variable, we get:
112 - 221x
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Calculate the weight of a bed if its mass is 120 kg and gravitational acceleration is 20m/s2. Use weight equation.
Answer:
2400 N (Newtons)
Step-by-step explanation:
The weight of an object can be calculated using the equation:
Weight = mass * gravitational acceleration
Given:
Mass of the bed (m) = 120 kg
Gravitational acceleration (g) = 20 m/s²
Using the weight equation:
Weight = mass * gravitational acceleration
Weight = 120 kg * 20 m/s²
Weight = 2400 kg·m/s²
The unit of the weight is kilogram-meter per second squared (kg·m/s²), which is equivalent to the unit of force called Newton (N).
Therefore, the weight of the bed is 2400 Newtons (N).
9x⁸y² - 6x³y⁴ /3xy simplified is:
a. 3x⁹y³- 2x⁴y⁵
b. 3x⁷y - 2x²y³
c. 3x⁹y³ - 2x⁴y⁵
d. None of these choices are correct.
Answer: B
Step-by-step explanation:
The coefficients 9 & 6, divided by 3, equal 3 & 2.
For the exponents, if you divide the entire equation by xy, you need to subtract the corresponding exponents of x and y. Subtract the denominator's exponent from the numerator's exponent.
So, for the first part x^8/x^1=x^7
y^2/y^1=y
For the second part: x^3/x=x^2
y^4/y=y^3
So, if you put the coefficients and both parts of the equation together, you get 3x^7y - 2x^2y^3 (answer letter B).
Hope this helped!
50 points, pls answer
Is it possible for a satellite to see
of the Earth’s equator? Why or why not?
11-94.
a. The image is attached below.
b. Length of the equator is 24,000 miles.
c. The image is attached below.
d. No, it is not possible for a satellite to see 50% of the Earth's equator.
Satellite B will see more of the Earth's equator than Satellite A. This is because the viewing angle of Satellite B is larger than the viewing angle of Satellite A. The viewing angle of Satellite B is 60 degrees, while the viewing angle of Satellite A is 45 degrees.
The length of the equator in view of Satellite B is 24,000 miles. This can be calculated using the following formula:
length of the equator = 2 * [tex]\Pi[/tex] * radius * sin(m/2)
Use a third color to draw the viewing angle from Satellite C. Label the points of tangency J and K. If m/C=45", find the mJK and mJZK
This is because the Earth is a sphere, and a sphere has no flat surfaces. A satellite can only see a portion of the Earth's surface, and the portion that it sees will always be less than 50% of the total surface area.
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There are books on a shelf. of these books are new. The rest of them are used. what is the ratio of used books to all books on the shelf?
Let's denote the total number of books on the shelf as 'total_books', and the number of new books as 'new_books'.
The number of used books can be calculated as the difference between the total number of books and the number of new books:
used_books = total_books - new_books
To find the ratio of used books to all books on the shelf, we divide the number of used books by the total number of books:
Ratio of used books to all books = used_books / total_books
Substituting the expression for used_books, we have:
Ratio of used books to all books = (total_books - new_books) / total_books
Simplifying further:
Ratio of used books to all books = 1 - (new_books / total_books)
Therefore, the ratio of used books to all books on the shelf is equal to 1 minus the ratio of new books to total books.
In the right △ABC with m∠C=90°, m∠B=75°, and AB=12 cm. Find the area of △ABC.
Don't use trig to solve, don't know how to.
The area of the right triangle is 18.02 cm².
How to find area of a right triangle?A right angle triangle is a triangle that has one of its angles as 90 degrees.
The sum of angles in a triangle is 180 degrees.
Therefore, let's find the area of the right angle triangle as follows;
let's find the height and base of the triangle.
using trigonometric ratios,
cos 75 = adjacent / hypotenuse
cos 75 = base / 12
base = 3.10582854123
Therefore,
sin 75 = opposite / hypotenuse
sin 75 = h / 12
height = 11.5911099155
height = 11.59
Therefore,
area of the triangle = 1 / 2 × 3.11 × 11.59
area of the triangle = 36.0483518371 / 2
area of the triangle = 18.0241759186
area of the triangle = 18.02 cm²
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Find the measure of the each angle to the nearest degree. cos−11013
7x 2/9 what the answer
Answer:
1.55
Step-by-step explanation:
2/9=0.22 x 7 =1.55
i hope this helps!
3500pounds is placed into a savings account that pays interest at arate of 1.5% compounded annually.
Calculate the total compound amount at the end six years of investment, rounded to 2 decimal places.
Answer:
$3827.00
Step-by-step explanation:
To calculate the total compound amount at the end of six years with an interest rate of 1.5% compounded annually, we can use the formula for compound interest:
A = P * (1 + r/n)^(n*t)
Where:
A = Total compound amount
P = Principal amount (initial investment)
r = Annual interest rate (as a decimal)
n = Number of times interest is compounded per year
t = Number of years
In this case:
P = $3500
r = 1.5% = 0.015 (as a decimal)
n = 1 (compounded annually)
t = 6 years
Substituting these values into the formula, we have:
A = 3500 * (1 + 0.015/1)^(1*6)
Calculating this expression, we get:
A ≈ 3500 * (1.015)^6 ≈ 3500 * 1.093717 ≈ 3827.00
Rounding the total compound amount to 2 decimal places, the final value is approximately $3827.00
Show your work HELPPPP DUE TOMORROW!!
Answer:
10
Step-by-step explanation:
[tex]2\frac{3}{8}[/tex]+[tex]1\frac{3}{4}[/tex]+[tex]5\frac{7}{8}[/tex]=
[tex]2\frac{3}{8} +1\frac{6}{8} +5\frac{7}{8}[/tex]=
[tex]8\frac{16}{8} =10[/tex]
stuck on this question any help would be appreciated :)
The points that represent this data set are shown in the scatter plot attached below.
How to construct and plot the data in a scatter plot?In this exercise, we would plot the number sold on the x-coordinates of a scatter plot while the prices ($) would be plotted on the y-coordinate of the scatter plot through the use of Microsoft Excel.
On the Microsoft Excel worksheet, you should right click on any data point on the scatter plot, select format trend line, and then tick the box to display a linear equation for the line of best fit on the scatter plot.
Based on the scatter plot shown below, which models the relationship between the number sold and the prices ($), a linear equation for the line of best fit is as follows:
y = 0.23x + 1.00
In conclusion, the slope of the line is 0.23 and the y-intercept is 1.00.
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The three steps below were used to find the value of the expression [(-10 + 2) - 1] + (2 + 3). Step 1: ? Step 2: -9 + 2 + 3 Step 3: -7 + 3 Which expression is missing from Step 1? Question 3 options: [-10 + -1 + 2] + (2 + 3) [-8 - 1] + (2 + 3) [-10 + 1] + (2 + 3) [8 + 1] + (2 + 3)
Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).
In order to find the missing expression in Step 1, let's analyze the given steps and the final expression.
Step 1: ?
Step 2: -9 + 2 + 3
Step 3: -7 + 3
To find the missing expression in Step 1, we need to work backwards from Step 3 to Step 1.
In Step 3, the expression "-7 + 3" gives us a result of -4.
In Step 2, the expression "-9 + 2 + 3" gives us a result of -4.
So, the missing expression in Step 1 should also evaluate to -4 when performed correctly.
Let's check the available options:
[-10 + -1 + 2] + (2 + 3) = -11 + 2 + 5 = -4
[-8 - 1] + (2 + 3) = -9 + 5 = -4
[-10 + 1] + (2 + 3) = -9 + 5 = -4
[8 + 1] + (2 + 3) = 9 + 5 = 14
Out of the given options, only option 2, [-8 - 1] + (2 + 3), correctly evaluates to -4. Therefore, the missing expression in Step 1 is [-8 - 1] + (2 + 3).
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A dance team is made up of 9 girls and 3 boys. Two of the girls and 1 of the boys are also on the debate team. What percent of the dance team is also on the debate team? Enter your answer in the box.
Answer:
25%
Step-by-step explanation:
9+3=12 dance people total
divide 3 by 12 to determine debate members over dance members
=.25 or 25%
find the surface area
The surface area of the cylinder is: 156π.
Here, we have,
given that,
the cylinder has:
radius = 6 in
height = 10 in
now, surface area of the cylinder is:
SA = 2πrh + πr²
here, we have,
SA = 2π *6 * 10 + π6²
= 120π + 36π
= 156π
Hence, The surface area of the cylinder is: 156π.
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