Answer: its D
Step-by-step explanation: 3 yard is bigger then 6 feet because 3 yards equals 9 feet hope this helps
Use polar coordinates to find the volume of the given solid. Inside the sphere x^2 + y^2 + z^2 = 36 and outside the cylinder x^2 + y^2 = 1.
The required volume of the given solid is (√16 - r²) -(-√16 - r²).
What is volume?The measurement of three-dimensional space is volume. It is frequently expressed quantitatively using SI-derived units, as well as several imperial or US-standard units.
Volume and the notion of length are connected.
Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface.
The cubic meter (m3), a derived unit, is the SI unit of volume.
So, the integrand often takes the form z upper z lower, where z stands for the solid's lower and upper borders.
We are treating the sphere as a hemisphere as of right now, with the XY-plane serving as its lower boundary. Consequently, you must multiply by 2.
The solid's volume is (√16 - r²) -(-√16 - r²).
Therefore, the required volume of the given solid is (√16 - r²) -(-√16 - r²).
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Correct question:
Use polar coordinates to find the volume of the given solid: Inside the sphere x^2 + y^2 + z^2 = 16 and outside the cylinder x^2 + y^2 = 4.
Andy is A years old. His brother Ron is R years old. Andy multiplies his own age by 3. He then subtracts twice Ron's age. The answer is 6. Ron subtracts his age from Andy's age. The answer is −2 aWrite a pair of simultanous equations that model Andy's and Ron's ages.
Answer:the pair of simultanous equations that model Andy's and Ron's ages are
3A-2R=6----Equation 1
R-A =2----Equation 2
Andy is 10 Years and Ron is 12 years
Step-by-step explanation:
Andy's age is represented as A
and Ron';s age is represented as R
Now if Andy multiplies his own age by 3. He then subtracts twice Ron's age. The answer is 6 can be expressed mathematically as
3A-2R=6
And if Ron subtracts his age from Andy's age. The answer is −2 can be expressed as
R-A =2
Therefore the pair of simultaneous equations that model Andy's and Ron's ages are
3A-2R=6----Equation 1
R-A =2----Equation 2
Solving becomes
3A-2R=6----Equation 1
R-A =2----Equation 2
Make R subject formulae in equation 2
R =2+A
Putting R =2+A in equation 1
3A-2(2+A)=6
3A -4-2A =6
A-4=6
A=6+4=10
From eqn 2,
R-A =2
R-10 =2
R=10+2=12
Andy is 10 Years and Ron is 12 years
Martina walked 34 of a mile in 35 of an hour. At this rate, how far can Martina walk in one hour?
Answer:
34 = 35
Step-by-step explanation:
34x35
Answer:
Martina can walk 1 1/4 miles in one hour.
Step-by-step explanation:
Find the reciprocal of 3/5 (by flipping the fraction)
5/3
Multiply 5/3 by 3/4
3/4(5/3)= 15/12= 1 1/4
What is the value of S unit?
Triangle ABD is a right-angled triangle. The value of s which is the hypotenuse of the triangle ABD is 17 units.
What is triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are three-sided polygons with three vertices. The angles of the triangle are formed by connecting the three sides end to end at a point. The total of the triangle's three angles equals 180 degrees.
Here,
Given information:
From the given figure, the following information can be extracted:
Triangle ABD is a right-angled triangle.
Base AB is 8 units, Height BD is 15 units.
s is the hypotenuse of the triangle ABD.
Use the Pythagoras theorem to solve for the value of s or AD,
AD²=AB²+BD²
s²=8²+15²
s²=289
s=17 units
Therefore, the value of s which is the hypotenuse of the triangle ABD is 17 units.
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How are the angles of the two figures related
Answer:
I believe its A
Step-by-step explanation:
help !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! pls
Answer:
[tex]18m^2[/tex] of cement
Step-by-step explanation:
since 4*6 is 24
You want to take 24 and subtract 1/4 of the rectangles area.
1/4 of 24 is 6
24 - 6 is 18
A recipe ue 1/3 cup of flour and 1/8 cup of ugar. How much flour and ugar doe the recipe ue altogether
Altogether, the recipe uses 1/2 cup of flour and 1/8 cup of sugar.
What is altogether?Altogether in math refers to the sum of two or more numbers or values. It is a way of combining two or more items to obtain a total. In math, the term "altogether" is used to denote the sum of all the individual items, as opposed to all of them considered as one. For example, the sum of the numbers 2, 4, and 6 is 12, which is the "altogether" in math.
To calculate this, we must convert the fractions into decimals and then add them together.
The 1/3 cup of flour can be converted to 0.33 cup, and the 1/8 cup of sugar can be converted to 0.125 cup.
When added together, they equal 0.455 cup, or 1/2 cup. Therefore, the recipe uses a total of 1/2 cup of flour and 1/8 cup of sugar.
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Daija is creating a budget, and evaluating his purchases over the last month. Consider the following code segment which attempts to find the sum of all purchases made in the last month, stored in purchased List. N ← 1 sum ← 0 REPEAT UNTIL () { sum ← sum + purchase List[n] n ← n + 1 } What code can replace missing code to assign the total of all values in purchase List to sum
The missing code that can replace to assign the total of all values in purchase List to sum, is: REPEAT UNTIL (n > purchaseList.length)
What is syntax of REPEAT UNTIL?The syntax for a REPEAT UNTIL loop in most programming languages is as follows:
REPEAT {
// code to be executed
} UNTIL (condition)
or
DO {
// code to be executed
} UNTIL (condition)
What is looping?Looping is a programming construct that allows a certain block of code to be executed repeatedly. The two main types of loops are for loops and while loops.
A for loop is used to execute a block of code a specified number of times. It typically starts with a variable initialization, then a condition is checked, and if the condition is true, the code block inside the loop is executed, and then the variable is updated.
The missing code that can replace the empty parentheses in the REPEAT UNTIL statement to assign the total of all values in purchase List to sum, is:
REPEAT UNTIL (n > purchaseList.length)
This means that the loop will continue to execute until the value of n is greater than the length of the purchaseList. In each iteration, the value of purchaseList[n] is added to the sum, and then n is incremented by 1. So, this loop will iterate through all the elements in the purchaseList, adding each one to the sum, until it reaches the end of the list. This will give the total sum of all purchases made in the last month.
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Market Research Math Quiz
QUESTION 9 of 10: A market research survey has 15 questions and will be sent to 500 people. What is the total cost to conduct the survey if
it has a $1,000 base fee plus $5 per question and $2 per person surveyed?
a
a) $2,075
b) $2,920
c) $3,092
d) $4,022
a
Submit
The total cost of the market research survey is $1000 (base fee) + $75 (cost per question) + $1000 (cost per person surveyed) = $2075.
The total cost to conduct the market research survey is calculated by adding the base fee, the cost per question, and the cost per person surveyed.
The survey has 15 questions and will be sent to 500 people. The survey has a base fee of $1000, which is a fixed cost regardless of the number of questions or people surveyed.
Additionally, the survey has a cost of $5 per question, which is calculated by multiplying the number of questions by the cost per question.
Lastly, the survey has a cost of $2 per person surveyed, which is calculated by multiplying the number of people surveyed by the cost per person surveyed. By adding all these costs together we get the total cost of the survey $2075 which is a combination of fixed and variable costs.
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8. A quarter is what percent of a dollar?
A 5%
B 20%
C 25%
Answer:
25%
a half is 50%
a quarter is 25%
Answer: It's option C
Step-by-step explanation:
Well 1 quarter is 25
2 quarters is 50
3 quarters is 75
4 quarters is a dollar
The total surface area of the prism below is 456 square centimeters. What is the value of the x, height of the prisim?
*see attachment for the figure
Answer:
x = 17 cm
Step-by-step explanation:
Total surface area of triangular prism = bh + L(s1 + s2 + s3)
Where,
Total surface area = 456 cm²
b = 8 cm
h = 6 cm
s1 = √(8² + 6²) = 10 cm (pythagorean theorem)
s2 = 8 cm
s3 = 6 cm
L = x
Plug in the values
465 = 8*6 + x(10 + 8 + 6)
465 = 48 + x(24)
465 - 48 = 24x
417 = 24x
417/24 = x
17.375 = x
x = 17 cm (approximated)
Solve for x in this triangle. Round your answer to the nearest tenth. 18 Xº 23
Answer:
51.50004959055205
Step-by-step explanation:
[tex]sin (x) = \frac{18}{23}[/tex]
PLEASE HELP!
The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails. The manager found that 0.3 pounds of nails in the sample were defective. They were either bent, the heads were damaged, or they had been clipped too short during manufacture. How many pounds of defective nails should the manager expect the 350-pound delivery to contain? Round your answer to the nearest tenth of a pound.
There are 23.33 pounds of defective nails should the manager expect the 350-pound delivery to contain.
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.
We have to given that;
The manager of a hardware store took a random sample of 4.5 pounds of nails from a delivery of 350 pounds of nails.
And, The manager found that 0.3 pounds of nails in the sample were defective.
Since, The manager found that 0.3 pounds of nails in the sample were defective.
Hence, Amount of pounds of defective nails should the manager expect the 350-pound delivery to contain is,
⇒ 350 × 0.3 / 4.5
⇒ 23.33 pounds
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I thought of a number, doubled it, then added 3. The result multiplied by 4 came to 52. What was the number I thought of?
The number you thought of is -1.
To solve this problem, you can use algebra to represent the unknown number as a variable (let's call it x) and the given information as equations. The first step is to determine what the problem is asking for. In this case, it is asking to find the original number before it was doubled and 3 was added. To do this, you can use the information given in the problem to set up equations.
The first equation is (2x+3)*4 = 52. You can then solve this equation for x. First, you can simplify the left side of the equation by distributing the 4 to the 2x and the 3: 4x + 12 = 52. Then, you can subtract 12 from both sides to get 4x = 40. Finally, you can divide both sides by 4 to get x = 10. however, this is not the solution, since the problem does have not a unique solution. x=-1 is also the solution.
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If Jamar can run 3/5 of a mile in 2 minutes 30 seconds, what is his rate in miles per minute? (Remember, distance = rate x time)
Answer:
6/25
Step-by-step explanation:
(3/5) / 2.5 = 6/25
A whale descends from the surface of the water at a rate of 22 feet per minute.
What is the position of the whale relative to the surface after diving for 3
minutes?
Answer:
66
Step-by-step explanation:
22 per minute
? Per 3 minutes
22 x 3 = 66
Answer: The position of the whale relative to the surface of the water can be determined by multiplying the rate at which it descends (22 feet per minute) by the amount of time it has been descending (3 minutes).
Position = Rate x Time
Position = 22 feet/minute x 3 minutes = 66 feet
So, after diving for 3 minutes, the position of the whale relative to the surface of the water is 66 feet.
It means the whale descended for 66 feet from the surface level of the water.
Please keep in mind that this information is assuming a linear motion, without taking into account any other factors that could affect the whale's descent such as currents or obstacles in the water.
Step-by-step explanation:
What are personal assets?
Personal assets are the list of things which are owned by any person for the present or the future use such as house , saving accounts, Cash etc.
Personal assets the list of things all of which are owned by any personal or a family for the present or the future use.When an individual want to take loan of any purpose then bank give the loan by considering the present value of the personal assets.It represent the total property and cash owned by any individual for the present or the future use.Example of personal assets are : house, any other property , cash, certificate representing some value, jewelry, any vehicle etc.Therefore, the personal assets represent the valuable items owned by any individual for present or the future use.
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choose the graph of the inequality X< 7
choose one:
3rd one. The circle is on 7 and is going to the left.
A bag contains:
5 red marbles
4 blue marbles
2 green marbles
6 black marbles
3 yellow marbles
Answer:
3/50
Step-by-step explanation:
There are 5 + 4 + 2 + 6 + 3 = 20 marbles in the bag
P(draw a black) = 6/20 = 3/10
If the black marble is replaced, then there are 20 marbles in the bag again.
P(draw a blue) = 4/20 = 1/5
P(draw a black and blue with replacement) = (3/10)(1/5) = 3/50
What's the domain of a logarithmic function?
Answer:
all positive numbers
Step-by-step explanation:
You want to know the domain of the log function.
Log functionThe log function ln(x) is defined for all x > 0. A log function with any other base is similarly defined.
log function domain: all positive numbers
A parent log function has a vertical asymptote at x=0, and an x-intercept at x=1. Its vertical scaling will depend on the base of the logarithm. Like any function, it can be translated and scaled horizontally and vertically.
__
Additional comment
In the field of complex numbers, the log function is defined for any non-zero number. For example, ln(-1) = πi.
The range is all real numbers.
The level of the tide in a harbor changed from 9 1/4 ft to 4 1/2 ft above sea level over a period of 3 1/4 hr
Answer:
The answer is "[tex]\bold{- \frac{19}{13} \ / hour}[/tex]"
Step-by-step explanation:
Please find the complete question in the attached file.
Calculating the difference of [tex]9 \frac{1}{4}\ and \ 4 \frac{1}{2}[/tex] dividing the value by [tex]3 \frac{1}{4}[/tex]
[tex]\to 4 \frac{1}{2} - 9 \frac{1}{4}\\\\ \to \frac{9}{2} - \frac{37}{4}\\\\ \to \frac{18-37}{4} \\\\ \to -\frac{19}{4}\\\\\to -\frac{19}{4} \div \frac{13}{4}= -\frac{19}{4} \times \frac{4}{13} = -\frac{19}{13}\\[/tex]
Solve the real-world situation by using the substitution method.
1. A standard rectangular highway billboard has a perimeter of 124 ft.
The length is 34 ft. more than the width. Let l represent the length
521 + 2w
124
and w represent the width. The system of equations
1 = 34 + w
Find the length and the width.
Answer:
521 plus 521 is equal to 10000
Rn help help help help
Answer:
A regular (equilateral) triangle
Step-by-step explanation:
A triangle is regular if all their side are the same, which is the case here.
in one year, the student enrollment increased from 560 to 588. This was an increase of what percent?
Answer:
5% Increase
Step-by-step explanation:
560 * 0.05 = 28
560 + 28 = 588
Answer: 5%
Step-by-step explanation:
Orig | 560 | 100
Change | 28 | x
new | 588 | n/a
560/28 = 100/x
1 x 5
5%
How many 1/9s can go into 2?
Which shape has atleast one pair of perpenicular sides
The fourth shape which is a square has at least one pair of perpendicular sides.
What is a quadrilateral?A quadrilateral is a closed object in geometry that is created by connecting four points, any three of which are not collinear. There are 4 sides, 4 angles, and 4 vertices in a quadrilateral.
In the third figure, it is a parallelogram,
In a parallelogram, the opposing or confronting sides are of equal length, and the opposing angles are of equal size.
The sum of adjacent angles is 180° but individuals are not right angles.
The fourth figure is a square and by the properties of a square, all the interior angles are right angles.
Therefore, It has two pairs of perpendicular sides.
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A store creates a mixture using only peanuts and almonds.
There are 20 pounds of the mixture.
Peanuts cost $2. 95 per pound.
Almonds cost $5. 95 per pound.
The mixture costs $4. 00 per pound.
How many pounds of peanuts are in the mixture?
There are 13 pounds of peanuts present in the mixture.
An equation is a mathematical statement with an 'equal to' symbol between two expressions that have equal values.
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
For example, 3x – 5 = 16 is an equation. Solving this equation, we get the value of the variable x as x = 7. There are different types of equations like linear, quadratic, cubic, etc.
Let's consider Almonds be a and Peanuts be p.
from given conditions,
a + p = 20
and 5.95 a + 2.95 p = 4(20)
5.95 a + 2.95 p = 80
take, a = 20 - p
5.95 (20 - p) + 2.95 p = 80
119 - 5.95 p + 2.95 p =80
119 - 3 p = 80
3p = 39
p = 39/3
p = 13
Therefore, there are 13 pounds of peanuts present in the mixture.
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A distribution of exam scores has mean 60 and standard deviation 18. If each score is doubled, and then 5 is subtracted from that result, what will be the mean and standard deviation, respectively, of the new scores
If each score is doubled, and then 5 is subtracted from that result, then the mean and standard deviation will be 115 and 36 respectively.
What will be the mean and standard deviation?A huge group of test results has a mean of 60 and a standard deviation of 18. If each score is doubled and then 5 is deducted from the result, the mean and standard deviation are “ mean = 115; standard deviation = 36”. Mean = 2 x 60 -5 = 120 -5 = 115
2 x 18 = 36 standard deviation
The mean is the average and is calculated as the sum of all the results from the example divided by the total number of events.
The standard deviation (SD) is a statistic used to assess the degree of variation or dispersion in a set of data values.
A low standard deviation indicates that the information points slant toward being near the mean of the set, whereas an exclusive expectation deviation or a high standard deviation indicates that the information points tilt toward being near the mean of the set.
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How do you find the missing side of an obtuse triangle?
Answer:
Using the cosines law
Step-by-step explanation:
So, we need to find the length of the other side, we will use the version of the Cosine Rule where a2 is the subject of the formula, which is given by, a2=b2+c2−2bccosA, Side a is the one we are trying to find. Sides band care the other two sides, and angle Ais the angle opposite side a. c2=a2+b2−2abcosC
University Data Total Receiving Financial Aid Not Receiving Financial Aid Undergraduates 4222 8120 3898 Graduates 1879 731 2610 Total 6101 4629 10730 If a student is selected at random, what is the probability that the student is a graduate (rounded to the nearest percent)
Answer:
24%Step-by-step explanation:
Use the table to find the required data:
P(graduate) = Total graduates / Total studentsP(graduate) = 2610/10730*100% = 24% (rounded)The probability that a student selected at random is a graduate student is 31%.
What is probability?The probability of an event happening is represented by a number. The ratio of favourable outcomes to all outcomes is how probability is defined.
The total number of students is 6101, out of which 1879 are graduate students. Therefore, the probability that a student selected at random is a graduate student is:
P(graduate student) = number of graduate students / total number of students
P = 1879 / 6101
P = 0.3078
Therefore, the probability that a student selected at random is a graduate student is 31%.
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