The percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
According to the question,
We have the following information:
Greg evaluated his spending and found that he was spending about $50 more per month on utilities than he has budgeted. He can transfer money from other categories to increase his utilities budget to $125 per month. If his total monthly income is $2,400.
Now, let's take the percent to be x.
We have the following expression:
2400*x/100 = 125
24x = 125
x = 125/24
x = 5.21%
Hence, the percent of his monthly income that will be budgeted for the utilities will be approximately 5.21%.
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what is the value of the underlined digit?
Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many
bins as Juan. How many bins of bottles did Richard collect?
Write your answer as a fraction or as a whole or mixed number.
Please help
Answer:
Step-by-step explanation:
8 1 5
find the particular solution of the differential equation that satisfies the initial condition(s). f '(s)
Particular solution of the differential equation that satisfies the initial condition f'(s) = 10s - 4s³ , f(3) = 5 is f(s) = 5s² - s⁴ + 41.
We determine the particular solution to the differential equation. We do this by integrating the given differential equation and then applying the given initial condition. The power rule should be used for the given expression.
[tex]\int\ {x^{a} } \, dx[/tex] = [tex]\frac{x^{a+1} }{a+1} }[/tex]
we have given that,
f'(s) = 10s - 4s³
f(s) = ∫ f'(s)ds
= ∫(10s - 4s³)ds
= [tex]\frac{10s^{2} }{2} - \frac{4s^{2} }{4}+ C[/tex]
f(s) = 5s² - s⁴ + C
Now we will apply the initial condition,
f(3) = 5
⇒5(3)² - (3)⁴ + C =5
-36 + C = 5
C =41
Therefore the solution is expressed as,
f(s) = 5s² - s⁴ + 41
This is the particular solution.
Given question is incomplete. Complete question is given as:
find the particular solution of the differential equation that satisfies the initial condition(s). f '(s) = 10s - 4s³, f(3) = 5.
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A water park has pools, slides, and rides that, in total, make use of 8.6 x 105 gallons
of water. They plan to add a ride that would make use of an additional 9.1 x 104
gallons of water. Use scientific notation to express the total gallons of water made use
of in the park after the new ride is installed.
Answer:
×10
gallons
Submit Answer
attempt 2 out of 2
Hence, the total gallons of water made use of in the park after the new ride is installed is 9.51*10⁵ gallons
What is volume of water?
The form of the container the water is contained in affects how much water is contained inside. You must know the length, breadth, and depth of a square or rectangular vessel in order to calculate its volume using the volume equation V=L*W*D, where L stands for length, W for width, and D for depth. The volume equation in this case reads: V= (r²)Dπ, where r stands for the radius, D for depth, and, or pi, is a constant value that is typically rounded to 3.14. To perform the same volume calculation for a circular vessel, you must know the vessel's depth and diameter or radius.
Given, the water park has water which is 8.6*10⁵ gallons.
We know that 10⁵ = 100000
Thus, 8.6*10⁵ = 860000
The new ride would use an additional 9.1*10⁴ gallons.
Again, 10⁴ = 10000
Thus, 9.1*10⁴ = 91000
Total water that would be required now is equal to the sum of the original water volume and the volume required by the new ride
= (860000+91000) gallons
= 951000 gallons
= 9.51*10⁵ gallons
Hence, the total gallons of water made use of in the park after the new ride is installed is 9.51*10⁵ gallons
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Lauren had 3/4 gallon of paint he poured in an additional 1/8 gallon from another can. How much paint doe lauren have?
We know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.
What are mathematical operations?A mathematical "operation" is the process of calculating a value utilizing operands and a math operator.
There are predefined rules associated with the math operator's symbol that must be applied to the supplied operands or numbers.
The five basic operations in mathematics are addition, subtraction, multiplication, division, and modular forms.
So, we know that:
Lauren has 3/4 gallons of paint.
She later added 1/8 gallon of more paint.
The total paint she has is:
3/4 + 1/8
2(3) + 1/8
6+1/8
7/8
Therefore, we know that Lauren has 7/8 gallons of paint in total using simple mathematical operations.
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What is the solution to the inequality -6a+1>43
Answer:
a < -7
Step-by-step explanation:
What equation matches the graph?
A. y = -3x + 1
B. y = -3x - 1
C. y = -2x + 1
D. y = -2x - 1
Answer:
A y = -3x + 1
Step-by-step explanation:
y = mx + b When need to know the m (slope) and the b (y-intercept
The b is where the line crosses the y axis. It crosses the y axis at 1. The slope tells us the steepness of the line.
If you start at the point (0,1) and move three units down and I unit to the right, you will be back on the line. The slope is -3/1 which simplifies to -3
Answer the question pls
Answer:
v=50
Step-by-step explanation:
since the angle next to x+50 if you add them the rule is they will equal 180 degrees and that the entire triangle equals 180 degrees then the 2 other angles will equal v+50
v+v=v+50
-v. -v
v=50
hopes this helps
3. A graphic designer is developing alternate icons. The square
pixelated image is placed inside a border that is 4 pixels wide on
all sides. If the area of the border of the image is 704 square
pixels, what is the area of the image?
The area of the image is, 7396 square pixels.
what is area?
The measurement that expresses the size of a region on a plane or curved surface is called area. Surface area refers to the area of an open surface or the boundary of a three-dimensional object, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.
Let x represent the length and the width of the image.
The area of the image and the border is represented by the expression
(x + 4)^2.
Total area - area of image = Area of border
(x + 4)^2 - x^2 = 704
⇒ x^2 + 8x + 16 - x^2 - 704 = 0
8x - 688 = 0
8x = 688
x = 86
The image will be 86 pixels by 86 pixels.
The area becomes 86*86 = 7396 square pixels.
Hence, the area of the image is, 7396 square pixels.
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A museum is creating a simicircle statuary garden with a diameter of 26 feet. There will be a fence around the garden. The fencing costs $8.25 per linear foot. About how much will the fencing cost altogether.
Answer: $336.77
Step-by-step explanation:
So, the fencing is technically the perimeter, so we have to find the perimeter of the semicircle.
Perimeter of a semicircle = 2(pi)(r)/2
So, divide 26 by 2 to get the radius, which is 13.
(We will use 3.14 for pi)
Then fill in the variables 2 x (3.14) x (13) / 2
So, when you multiply all the numbers you will get 81.64/2.
81.64/2 = 40.82 ft.
Now that you have found how much feet the fencing will be, multiply it by the cost.
40.82 x 8.25 = 336.765.
Round your final answer by the nearest hundredth which is 336.77.
Answer: $336.77
can someone please solve a graph to this and write in as an equation, thank you so much
The following expression represents a 2-scale factor vertical stretch, a transformation of 4 units left, and a transformation of 1 unit down:
g(x) = 2f(x + 4) - 1
How to write the given transformation?A vertical stretch of scale factor K is expressed as follows for the general function f(x):
g(x) = Kf(x).
Horizontal translation:
A horizontal translation of N units for a general function f(x) is written as:
g(x) = f(x + N).
The shift is to the left if N is positive and the shift is to the right if N is negative.
Vertical translation:
A vertical translation of N units for a generic function f(x) is expressed as follows:
g(x) = f(x) + N.
When N is positive, there is an upward movement and N shifts downward if it is negative.
So, if we start with a function f(x) and we stretch it vertically with a scale factor of 2, we get:
g(x) = 2f(x)
Then we translate it into 4 units left:
g(x) = 2f(x + 4)
Then we translate 1 unit down:
g(x) = 2f(x + 4) - 1
This is the equation for the transformation.
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1/3 x= -2/5
Solve for x
Show ir steps!! Please help !!
Answer:
x= -6/5
Step-by-step explanation:
[tex]\dfrac{1}{3} x=-\dfrac{2}{5}[/tex]
Multiply both sides by 3:
[tex]3\times(\dfrac{1}{3} x)=3\times(-\dfrac{2}{5} )[/tex]
[tex]\fbox{x = -$\dfrac{6}{5} $}[/tex]
A quadrilateral has two angles that measure 140° and 70°. The other two angles are in a ratio of 4:11. What are the measures of those two angles?
Answer:
40° and 110°
Step-by-step explanation:
the sum of the 4 angles in a quadrilateral = 360°
the ratio of 2 angles = 4 : 11 = 4x : 11x ( x is a multiplier )
sum the 4 angles, equate to 360 and solve for x
140 + 70 + 4x + 11x = 360
210 + 15x = 360 ( subtract 210 from both sides )
15x = 150 ( divide both sides by 15 )
x = 10
Then
4x = 4 × 10 = 40°
11x = 11 × 10 = 110°
the measure of the 2 angles is 40° and 110°
Use substitution 2x+y=5 and 2x-3y=5
Answer:
x= 5/2 and y=0
Step-by-step explanation:
i'm not sure if this is right but ill have a go at it. I did this last year so you may have to wait for another person.
Answer:
x=0 y=1.6
Step-by-step explanation:
y=5/3 or 1.6
x=0
Which of the figures above highlights one-dimensional objects?
OA. Cube A
OB. Cube B
OC. Cube C
OD. None of these figures
Answer:
NONE
;)
Step-by-step explanation:
HELP ASAP!!
Angles W and X are complementary. Determine the degree measure of ZW if mZX = 29.8°
55.1°
60.2°
90°
150.2°
Answer:
(b) 60.2°
Step-by-step explanation:
You want the measure of angle W if angles W and X are complementary and X = 29.8°.
Complementary anglesComplementary angles total 90°:
X + W = 90° . . . . . . . . . complementary relation
29.8° +W = 90° . . . . . . use given value
W = 90° -29.8° . . . . . . subtract 29.8°
W = 60.2°
Let C represent the cost in dollars and R represent the revenue in dollars. What is the break-even point? Use a table to help if necessary.
C=24x+80
R=44x
The break even point is x = 4 for cost C = 24x + 80 and Revenue R = 44x.
What is Cost and Revenue ?Cost is the amount of money spent by a business to produce or provide goods or services. It excludes the profit margin markup. Cost is the sum of money spent on making a thing or product, as seen from the seller's perspective.
Cost is defined as the total of real input costs and imputed costs associated with owner-supplied inputs.
The entire money derived from the sale of products or services pertaining to a business's core operations is referred to as revenue. Because it appears at the top of the income statement, revenue, which is also known as gross sales, is sometimes referred to as the "top line." A company's overall profits or profit are referred to as income, or net income.
The break-even threshold is reached when overall costs and total revenues are equal, leaving your small firm with no net benefit or loss. In other words, you've achieved the point in manufacturing when the income from a product matches the cost of manufacture.
At break even point cost equals revenue,
Therefore,
Cost = Revenue
⇒ 24x +80 = 44x
⇒ 20x = 80
⇒ x = 4.
The break even point is x = 4 .
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Write the equation of the line in fully simplified slope-intercept form.
You see from the graph that when x = 0, y = 2 so the y-intercept is ( 0 , 2).
you are given points (-5 , 6) and (5 , -2). Find slope:
slope = change in y / change in x
slope = (6 - (-2)) / (-5 - 5)
slope = (6 +2) / (-5 - 5)
slope = 8/-10
slope = -4/5
slope-intercept form: y = mx + b where m = slope and b = y intercept.
y = -4/5x + 2
The administration team compiled test results for those who had been tested for strep throat in a random sample of 400 sick patients who had been tested. The following relative frequency table shows the data.
Based on the data, what is the ratio of false positives to true positives?
3 / 21
3 / 49
21 / 27
27 / 49
The ratio of false positives to true positives is 3/49.
So, option B is correct.
What is a ratio and proportion?A percentage is an expression that converts two ratios into an equal value. For instance, you may write the ratio as 1: 3 if there is 1 man and 3 women, meaning that 40% of the population is female and 14% is male. For any two numbers, the ratio formula is stated as a: b a/b. The percentage formula, on the other hand, is represented as a:b::c:da:b::c:da:b=cd. In mathematics, a ratio shows how many times one number is represented by another. For instance, if there are eight oranges and six lemons in a dish of fruit, the ratio of oranges to lemons is eight to six (that is, 8:6, which is equivalent to the ratio 4:3).
The percentage of false positives=3%
The percentage of true positives=49%
Ratio=3/49
Therefore, the ratio of false positives to true positives is 3/49.
So, option B is correct.
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14) The following information pertains to a $5 scratch ticket from the Texas lottery. Generate a probability
distribution for the prizes in this game. There are approximately 7,320,300 tickets in this game.
Probability of getting a particular number on ticket = 1/7320300
Describe the probability distribution.Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, if we are unclear of how an event will turn out. Statistics is the study of occurrences subject to probability.
The following values of x: 100000, 1000, 500, 100, 75, 50, 20, 15, 10, 5
Their corresponding values of p(x) are 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300, 1/7320300,
Expected Each lottery ticket's winnings are calculated as follows: (100000+1000+500+100+75+50+20+15+10+5)(1/7320300) = 101775/7320300 = 0.014 $.
But he does purchase a $5 ticket.
In other words, the Net Expected Value of Money is equal to 0.014 - 5 = -4.986 $.
due to the negative anticipation. There are therefore greater chances for failure. The predicted loss is $4.986.
Probability of getting a particular number on ticket = 1/7320300
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In circle G with m \angle FGH= 150m∠FGH=150 and FG=12FG=12 units find area of sector FGH. Round to the nearest hundredth.
The area of the sector of circle G is calculated as; 18.85 sq. units
What is the area of the sector?
The formula for the area of a sector is;
A = θ/360 * πr²
where;
A is area
r is radius
θ is central angle
We are given;
Radius of sector; r = 12 units
Central angle; θ = 15°
Thus;
A = 15/360 * π(12)²
A = 18.85 sq. units
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Zoe bought 1.5 pounds of apples for $3.50 per pound. She wanted to find the total cost using partial products.
Part A
Drag all of the partial products into the box that Zoe needs to solve the problem.
0.18
3
0.25
0.5
1.5
0.05
Part B
Solve the equation and then select the correct answer to complete the statement.
Zoe spent $
Choose...
on apples.
Answer:
4.75
Step-by-step explanation:
Mr. Chung drove 248 miles in 4 hours. If he continues driving at the same speed, how many miles will Mr.Chung drive in 6 hours?
Answer:
Step-by-step explanation:
248miles ÷ 4hrs = 62mph
62mph × 6 hrs = 372miles
Mr. Chung will have driven 372 miles in 6 hours
Answer: Mr. Chung will have driven 372 miles in 6 hours
Step-by-step explanation:
Please Answer asap . MERRY NAVIDAD :)
The correct answer to this Question based on Frequency Tables is B
What are frequency Tables?
These are a form of storing data that is easy to manipulate and use it for required purposes
This is an easy way to store and use data than other storing Methods
Solution:
As we can clearly see that 13 students who have completed the review sheet have passed the exam whereas 4 students who havent Completed the review sheet have also passed the exam according to given frequency table
Means we can say that reviw sheet must have some important problems that are similar to problems asked in exam hence chances are more that if a student solves and completed review sheet he will get passed in the exam acc to given frequency table Hence Option B is correct answer
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Diego ha 48 chocolate chip cookie, 64 vanilla cookie, and 100 raiin cookie for a bake ale. He want to make bag that have all three cookie flavor and the ame number of each flavor per bag
On solving the question, by help of Highest common Factor we got that He can only produce 4 bags before there are no more cookies left.
What is Highest common factor?In mathematics, HCF is referred to by its full term, highest common factor. When dividing two or more numbers, the highest common factor (HCF) is two. For instance, the HCF of 4 and 6 is 2.
48 chocolate chips total.
64 vanilla cookies total.
100 raisin cookies are present.
[tex]HCF - 48 = 1, 2, 3, 4, 6, 8, 12, 16, 24,48.\\64 = 1, 2, 4, 8, 16, 32 , 64\\100 = 1, 2, 4, 5, 10, 20, 25, 50, , 100.[/tex]
4 = highest common factor of 48, 64 and 100
As a result, he can only produce 4 bags of cookies until none are left over.
For each bag:
cookies and chocolates = 48/4
= 12 each
64/4 vanilla cookies
= 16 each
100/4 raisins in cookies
= 25 each
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Find the exact values of the following, giving your answers as fractions.
a)3^-2
b)4^-3
c)2^-6
The values of the expressions are,
a)3⁻² = 1 / 9
b)4⁻³ = 1 / 64
c)2⁻⁶ = 1 / 64
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given expressions will be calculated by solving the powers and writing in the fractions,
a)3⁻² = 1 / 9
b)4⁻³ = 1 / 64
c)2⁻⁶ = 1 / 64
Therefore, the values are 1 / 9, 1 / 64, and 1 / 64.
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Box A weigh 112.04 kilograms . Box B weighs 112 kilograms. which statement is true?
Answer: A
Step-by-step explanation: Because when your weighing a box there can sometimes be decimals in the weight
Alexandra grew 9 flowers with 3 seed packets. How many seed packets does Alexandra need to have a total of 18 flowers in her garden? Solve using unit rates.
At a sale this week, a table is being sold for $127.60. This is 29% of the original price. What is the original price?
The original price of the table is $440.
What is the selling price?
The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.
Given, the selling price of the table = $127.60 which is 29% of the original price
Let x be the original price of the table, then
29% of x = 127.6
or, 0.29x = 127.6
or, x = 127.6/0.29 = 440
Hence, the original price of the table is $440.
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how large a sample should be taken in order to estimate the proportion to within 4% with a 95.44% level of confidence?
Answer: The product of two consecutive negative integers is 600. What is the value of the lesser integer?
Step-by-step explanation:
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