Final answer:
By adding the two numbers and rounding, we first get -32.1 for the rounding to the nearest tenth and then the same result, -32.1, when rounding to the nearest hundredth.
Explanation:
To perform the indicated operation and round the result first to the nearest tenth and then to the nearest hundredth, we begin by adding the two numbers: -49.256 + 17.197. The sum of these numbers is -32.059. To round to the nearest tenth, we look at the hundredths place, which is 5, so we round up, resulting in -32.1. Next, to round to the nearest hundredth, we consider the thousandths place, which is 9, so we again round up, but since we're already at 9 in the hundredths place, the result remains -32.1.
Brian is fencing in a rectangular area in the backyard for his dog. He has 25ft of fence. He does not need fencing on the side that runs along the garage. This side is 9ft long. What are the dimensions of the kennel? Explain your answer.
the dimensions are 7, 9, 9 because when you do 9+9 which is both sides except the garage you get 7
-hope this helps
This is a Mathematics problem about perimeter. If Brian has 25ft of fencing and one side of the rectangle is 9ft, the equation created is 2x =16. Solving for x gives the other dimension as 8ft which means the kennel's dimensions are 9ft by 8ft.
Explanation:The subject of this question is Mathematics and it involves a problem of perimeter in geometry. In this problem, Brian has 25ft of fencing and one side of the rectangular area, the one against the garage, doesn't need fencing, and that side is 9ft.
Let the other side be 'x'. In a rectangle, opposite sides are equal. Since one of the sides is already fenced, we need fencing for only three sides. So we can create the equation 9 + x + x = 25. This simplifies to 2x = 16. Therefore, 'x' equals 8. The dimensions of the rectangular kennel are 9ft by 8ft.
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Please give me a answer to at least one of the problems AND SHOW YOUR WORK FOR BRAINLIEST
this is for question 3 if she purchased 2 pairs of shoes at $50 each then thats $100 for both then adding $30.00 for the dress and $20.00 for the pair of trousers your total WITHOUT sales tax is $150.00
to calculate sales tax you would multiply 4% with 150 (your total sales equaling 6
(0.04 x150=6)
lastly add 6 (your calculated sales tax) to your total sale price
getting a final answer of $156.00
Which equation applies the associative property of multiplication?
A. −6/7 ⋅ 8/11 ⋅1/3 = 8/11 ⋅ (−6/7) ⋅ 1/3
B. (−1/4 − 5/3) − 3/5 = −1/4 − (5/3 − 3/5)
C. (−7/8 ⋅ 2/5) + (−7/8 ⋅ 3/5) = −7/8 ⋅ (2/5 + 3/5)
D. −5/12 ⋅ (6/5 ⋅ 1/3) ⋅ 9/2 = (−5/12 ⋅ 6/5) ⋅ (1/3 ⋅ 9/2)
The associative property of multiplication means that the way numbers are grouped within parentheses in an operation does not change the result. Looking at the options provided, option D represents this property. The other options represent other mathematical properties.
Explanation:The associative property in mathematics is a property of some binary operations, which means the way numbers are grouped within parentheses in an operation does not change the result. In multiplication, for example, this means that (ab)c = a(bc).
Looking at the options provided one at a time, we see that option D represents this property. The equation −5/12 ⋅ (6/5 ⋅ 1/3) ⋅ 9/2 = (−5/12 ⋅ 6/5) ⋅ (1/3 ⋅ 9/2) allows us to rearrange the numbers within parentheses without changing the product, just as the associative property dictates.
The other options represent other mathematical properties like the distributive property or the associative property of subtraction, not the associative property of multiplication.
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Membership warehouse clubs offer shoppers low prices, along with rewards of cash back on club purchases. If the yearly fee for a warehouse club membership is $100 and the reward rate is 2% on club purchases for the year, then the linear equation y=100−0.02x models the actual yearly cost of the membership y, in dollars. Here x represents the yearly amount of club purchases, also in dollars.
a) Determine the actual yearly cost of the membership if club purchases for the year
are $1500.
b) What amount of club purchases would reduce the actual yearly cost of the membership
to $47?
c) How much would a member have to spend in yearly club purchases to reduce the
yearly membership cost to $0?
a) The actual yearly cost of the membership if club purchases for the year are $1500 is $___.
(Simplify your answer. Type an integer or a decimal.)
a) plug in x =2700 into the given equation and solve for y
b) plug in y = 43 into the given equation and solve for x
c) plug in y = 0 into the given equation and solve for x
hope this helps.
0.00007463 in scientific notation
0.00007463
We have to move the decimal point 5 places to the right to get a number between 1 and 10:
[tex]0.00007463 = 7.463 \times 10^{-5}[/tex]
Both of these are correct:
[tex] 7.463*10^{-5}[/tex]
[tex]74.63 * 10^{-6}[/tex]
Moving the decimal places to right, an amount of times, will help determine a number's scientific notation form.
Use the key to fill the correct word into the sentence below
the answer is imports because they are getting it from another country
And arithmetic sequence has a first term of 10 and the sixth term of 40. What is the 20th term of the sequuence?
Solution
The general form of the n-th term = a + (n-1)d
Here we are given the 1st term (a) = 10
6th term = 40
We need to find the 20th term.
Let's find the common difference.
6th term = 10 + (6 - 1) d
6th term is 40, so
40 = 10 + (6 -1)d
40 -10 = 5d
30 = 5d
d = 30/5
d = 6
The common difference is d = 6.
20th term = a + (n -1)d
= 10 + (20 -1)6
= 10 + 19*6
= 10 + 114
20th term = 124
Your brother has $2,000 saved for a vacation. His airplane ticket is $637.
Hello! Based off your question we can see that we are looking to find an inequality.
If your brother has saved a total of $2,000 for a vacation, and his airplane ticket costs him $637, he will only have $1,363 left to spend elsewhere on his vacation.
To write this in an inequality format, x will represent the total value that he can spend on vacation, seen here. [tex]x\leq $2,000 - $637[/tex]
round to the place value of the underlined digit 347,456 4 is underlined
the answer is 340,000
Type the correct answer in the box. Fill in the missing term in the equation. (1 + 2i)(2 + i) + = 5(2 + i)
To solve the complex number equation and find the missing term, we first multiply (1 + 2i)(2 + i), simplify, and then compare it to the expanded form of 5(2 + i). The missing term is found to be 10.
Explanation:The student is working on a complex number multiplication and addition problem.
The initial equation is (1 + 2i)(2 + i) + (missing term) = 5(2 + i).
To find the missing term, we must first perform the multiplication of the complex numbers on the left side of the equation.
Multiplying (1 + 2i) by (2 + i) gives:
1 * 2 = 21 * i = i2i * 2 = 4i2i * i = 2i^2 (Since i^2 = -1, this term becomes -2)Add these results to get 2 + i + 4i - 2 = 5i, which simplifies to (0 + 5i). Now, we add the missing term to this, so we have:
(0 + 5i) + (missing term) = 5(2 + i)
Expanding the right side yields:
5 * 2 = 105 * i = 5iThis gives us (10 + 5i). Subtract (0 + 5i) from both sides to isolate the missing term:
(10 + 5i) - (0 + 5i) = missing term
Therefore, the missing term is 10, and the completed equation is (1 + 2i)(2 + i) + 10 = 5(2 + i).
Final answer:
The question involves finding the missing term in a complex number equation. After expanding and simplifying the complex multiplication, it's determined that the missing term is 10 to balance the equation.
Explanation:
The question is about expanding and simplifying a complex number equation and finding the missing term that makes the equation true. To find the missing term, we first need to expand the left side of the equation.
Step-by-Step Solution:
Multiply the complex numbers (1 + 2i)(2 + i).Simplify the product to get 2 + i + 4i + 2i2.Since i2 = -1, the expression simplifies to 2 + 5i - 2.Combine like terms to get 5i.To make the equation true, add the missing term to the left side. We have (1 + 2i)(2 + i) + missing term = 5(2 + i).The missing term must result in 5(2 + i).Since the product of the complex numbers is 5i, the missing term is 10 to get 5(2 + i).Final equation: (1 + 2i)(2 + i) + 10 = 5(2 + i).Therefore, the missing term in the equation is 10.
What is 4.024 dived by 0.8
The answer to your question is 5.03.
I hope that this helped! :)
If a polygon has 1127 diagonals, how many sides does the polygon have? (what’s the equation to solve or & answer)
We are given : Number of diagonals of a polygon = 1127 diagonals.
We know relation between number of diagonals and number of sides of the polygon.
[tex]\frac{n(n-3)}{2}=d[/tex], Where n is the number of sides of the polygon and d is number of diagonals.Plugging d=1127 in above formula, we get
[tex]\frac{n(n-3)}{2}=1127[/tex]
Multiplying both sides by 2, we get
[tex]n(n-3)=2254[/tex]
[tex]n^2-3n=2254[/tex]
[tex]n^2-3n-2254=0[/tex]
Solving quadratic equation by factoring, we get factors
[tex]\left(n-49\right)\left(n+46\right)=0[/tex]
Solving for n, we get
n-49=0
n=49.
n+46=0.
n=-46.
We can't take number of sides by a negative number.
Therefore, number of sides does the polygon have 49 side.
many of the pesticides for citrus trees are toxic to fish. when the Citrus Groves on a large farm or treated with pesticides high winds deposited 1000 gallons of pesticides into a lake stocked with fish. To ensure survival of the fish 95% of the pesticides must be removed from the lake within 96 hours of contamination. There are two methods of removal: method A: the chemical Engineers have proposed adding a chemical reagent to the pond to neutralize the pesticide. This chemical reagent removes the pesticide at a rate of 11 gallons per hour. method B: the mechanical engineers have proposed fitting the pond with a filtration system. This system removes 4% of the remaining pesticides each hour. which method would you recommend to save the fish?
Final answer:
Explanation of why Method A is recommended to save the fish from pesticide contamination
Explanation:
The method I would recommend to save the fish is Method A. Here's why:
Removes 11 gallons per hourImmediate action, not dependent on timeMethod B (Filtration system):Given the urgency and the higher rate of removal, Method A is the best choice to ensure the survival of the fish after the contamination event.
The price of a television set on sale is $360. This is two thirds of the regular price.find the regular price.
Show work please and answer ASAP ‼️
What is the slope of the line that passess between ( 0, 4 ) and ( -8, -2 )
Answer:
The slope is 3/4.
Step-by-step explanation:
Slope formula:
[tex]\displaystyle \frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle \frac{(-2)-4}{(-8)-0}=\frac{-6}{-8}=\frac{-6\div2}{-8\div2}=\frac{-3}{-4}=\frac{3}{4}[/tex]
Therefore, the slope is 3/4, and the correct answer is 3/4.
The cost of a hamburger is $2.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs f(n)2+2.5(n- 1). Using this rule, he found the cost of 12 hamburgers to be $29.50 Is this number correct? If not, identify Sully's error
Yea it correct just plug in 12 where it need to go at in the equation
Answer:
Sully is correct there is no error.
Step-by-step explanation:
Given : The cost of a hamburger is $2.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs [tex]f(n)=2+2.5(n- 1)[/tex].
To find : Using this rule, he found the cost of 12 hamburgers to be $29.50 Is this number correct? If not, identify Sully's error
Solution :
The cost of a hamburger is $2.50.
Each additional hamburger cost $2.00.
Sully wrote this explicit rule to explain the sequence of costs:
[tex]f(n)=2+2.5(n- 1)[/tex]
To find the cost of 12 hamburgers substitute n=12,
[tex]f(12)=2+2.5(12- 1)[/tex]
[tex]f(12)=2+2.5(11)[/tex]
[tex]f(12)=2+27.5[/tex]
[tex]f(12)=29.5[/tex]
The cost of 12 hamburgers to be $29.50.
Therefore, Sully is correct there is no error.
whats is (1/2^-2) + 1/2
The answer Would Be 4.5 ,Hope this helps :D
I believe its 4 1/2
Joanne bought a $100 dollar tennis racket and hourly lessons she will be charged $40 per hour of lessons. Part A: Write an equation that models her expenses. Part B: If Joanne is prepared to spend $300, how many hours of tennis lessons can she afford? Show your work.
part b, if 100 is spent on the racket than 200 on lessons, 5 hours is what she can afford
A: X=100+40(h)
B: 7 hours
37 is what percent of 144 to the nearest percent?
To find what percent 37 is of 144, divide 37 by 144, get the decimal form, multiply by 100, and round to the nearest whole number. The result is approximately 26%.
To calculate 37 as a percentage of 144, we use the following steps:
Divide 37 by 144 to get the decimal form of the ratio.Multiply the result by 100 to convert it to a percentage.After performing the division, we find that 37/144 \0.2569 (rounded to four decimal places). Multiplying this by 100, we obtain 25.69%, which we then round to the nearest whole number, giving us 26%.
The answer to the question "37 is what percent of 144 to the nearest percent?" is therefore 26%.
Write an equation for the line that is parallel to the given line and passes through the given point y=5x+10;(2,14)
if the lines are parallel the slopes are the same so m=5
the equation of a line given the slope and a point is
y-y1 = m(x-x1)
y-14= 5(x-2)
y-14 = 5x-10
y=5x+4
Can anyone help with this problem? I need an exact answer not a guess
Answer:
32 degrees
Step-by-step explanation:
Using the sine law:
sin 116/ 17 = sinx/ 10
10 (sin116) = 17 (sinx)
0.5287 = sinx
sin^-1 0.5287 = x
x = approximately 32 degrees
find values of x and y. state which theorem(s) you used
please help
I believe X and Y are also 61°! Report me if I am wrong!
5x+10x(10x9)=50
Help please
Here you go! Hope this helps! :)
I need to know what 11, 14, and 15 are I don't remember how to do it
When you reflect a function in the x-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa). See the attached picture.
Question 11: f(x) = -5x + 2. The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.
When you reflect a function in the y-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same. Replace x with -x .
Question 14: f(x) = |2x - 1| + 3. Replacing x with -x produces g(x) = |2(-x) - 1| + 3 which simplifies to g(x) = |-2x -1| + 3.
Question 15 works the same way as #14.
HELP WANTED, APPRECIATED, AND NEEDED ASAP
Relationship A has a lesser rate than Relationship B. This table represents Relationship B.
Let's assume
x is number of hours worked
y is amount paid
Since, this is linear relationship
We can select any two points
(2,36.50) and (4,73)
so, we can also write as
x1=2 , y1 =36.50
x2=4 , y2=73
Firstly, we can find slope
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
we can plug values
[tex]m=\frac{73-36.50}{4-2}[/tex]
[tex]m=18.25[/tex]
now, we can use point slope form of line
[tex]y-y_1=m(x-x_1)[/tex]
we can plug values
[tex]y-36.50=18.25(x-2)[/tex]
now, we can solve for y
[tex]y=18.25x[/tex]
or
[tex]y=18.3x[/tex]..............Answer
Answer:
y=18.1x and y=18x
Step-by-step explanation:
If the hypotenuse of a right triangle is 15 feet and one of the other legs measures 12 feet, how many feet is the unknown side?
This is the Pythagorean theorem, that equation is a^2 + b^2 = c^2, but if you dont have b you can manipulate the equation, that equation is c^2-a^2=b^2. So you take 15^2 - 12^2 and that equals 81, then you take the square root of 81, which equals 9, so your answer would be 9 feet. Hope that helped :)
The unknown side of the right-angled triangle measures 9 feet. We found this using the Pythagorean theorem.
Explanation:This problem falls under the topic of Pythagoras theorem in Mathematics. The Pythagorean theorem describes the relationship between the lengths of the sides of a right-angled triangle. It is stated as: a² + b² = c², where c represents the length of the hypotenuse, and a and b are the lengths of the other two sides of the triangle.
If one side (say, a) of the right triangle is 12 feet and the hypotenuse (c) measures 15 feet, we can calculate the length of the other side (b) using the principle of the Pythagorean Theorem. By rearranging the theorem to solve for 'b', we get the equation:
b = √(c² - a²)
Substitute the given values into the equation:
b = √((15)² - (12)²) = √(225 - 144) = √81
Hence, the unknown side 'b' measures 9 feet.
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A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What is the height of the tree?
Set up a proportion:
6 feet over 11 feet long equals x feet over 33 feet long
6/11 = x/33
198 = 11x
x = 18
The height of the tree is 18 feet tall
The height of the tree will be 18 feet.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A man who is 6 feet tall casts a shadow that is 11 feet long.
At the same time, a tree casts a shadow that is 33 feet long.
Then the height of the tree will be
Let x be the height of the tree.
Then we have
x / 6 = 33 / 11
x = 3 x 6
x = 18 feet
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Which of the graphs below represents the equation 8x-y=4
Graph Z
Slope: 8
Y-Intercept: -4
Answer:
Graph X
Step-by-step explanation:
[tex]8x-y=-4[/tex]
To graph the equation we write it in the form of y=mx+b
Subtract 8x from both sides
[tex]-y=-8x-4[/tex]
Divide both sides by -1
[tex]y=8x+4[/tex]
In y=mx+b, m is the slope and b is the y intercept
[tex]y=8x+4[/tex] , slope =8 and b=4
Now make a table , plug in some random number for x and find out y
x y=8x+4
-1 -4
0 4
Two point on graph are (-1,-4) and (0,4)
Graph x is the correct graph
Can someone please tell me how to do this?
The vertical angles are congruent (or equal) so,
32 = 2x
2x = 32
2x/2 = 32/2 ..... dividing both sides by 2
x = 16 which is the answer
X=16 because 16 x 2=32 and both sides look pretty equal so.
you run for 3 hours at a speed no faster than 8.2 miles per hour. write and solve an inequality that represents the possible numbers of miles you run.
Answer:
The possible number of miles you run is no more than 24.6 miles.
Step-by-step explanation:
Consider the provided information.
It is given that you run no faster than 8.2 miles per hour.
That means the maximum speed is less than or equal to 8.2 miles per hour.
This can be written as:
S≤8.2
We need to determine the inequality for possible numbers of miles you run.
[tex]Distance=Speed \times time[/tex]
We know time is 3 hr and S≤8.2.
Thus, the required inequity is:
[tex]D \leq 8.2\times 3[/tex]
[tex]D \leq 24.6[/tex]
Hence, the possible number of miles you run is no more than 24.6 miles.
In case you run for 3 hours at a speed no faster than 8.2 miles per hour. an inequality that represents the possible numbers of miles you run is d ≤ 24.6
What is the inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made.
The equation can be written as (Distance ≤ Speed * Time)
d ≤ (8.2 * 3 )
d ≤ 24.6 miles
d ≤ 24.6
This mean
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