Answer:
4/3π(0.973r³)
Step-by-step explanation:
Volume of a sphere = 4/3πr³
Given the radius of dodge ball rd = r
radius of tennis ball rt = 0.3r
Taking their difference
Volume difference = 4/3πrd³ - 4/3πrt³
Volume difference = 4/3π(r)³ - 4/3π(0.3r)³
Volume difference = 4/3π(r³ - 0.027r³)
Volume difference = 4/3π(0.973r³)
Hence the differmce in volume is 4/3π(0.973r³)
Question 8 (1 point)
At your high school, you are trying to determine the probability that a student takes
Spanish given that the student is taking Marketing. Which of the following
statements explains how to BEST gather the data to determine this probability?
Determine the number of students taking Marketing, the number of students
taking Spanish, the total number of students, and the distribution of students.
Survey students taking Marketing to determine how many also take Spanish.
Survey students taking Spanish to determine how many also take Marketing.
Determine the number of students taking Marketing, the number of students
taking Spanish, and the total number of students.
In ΔQRS, the measure of ∠S=90°, SR = 45, QS = 28, and RQ = 53. What is the value of the tangent of ∠Q to the nearest hundredth?
Answer:
Aprox: 1.61
Step-by-step explanation:
TOA: Tan Q = Opposite/Adjacent = 45/28 ---> 1.61
Answer:
28/45≈1.6071≈1.61
Step-by-step explanation:
Of the 585 people that live in Benton, 187 live within two miles of the post office. Use mental math to find how many people live farther than two miles from the post office.
It clearly states to use mental math not brainly, sorry bro can't do anything for you
round to the nearest 10th
Answer:
look below
Step-by-step explanation:
To round a number to the nearest tenth , look at the next place value to the right (the hundredths). If it's 4 or less, just remove all the digits to the right. If it's 5 or greater, add 1 to the digit in the tenths place, and then remove all the digits to the right.
Can you solve 8n- 4= 52
Answer:
Add 4 to both sides of the equation
8n-4=52
8n-4+_4=52+_4
Determine the approximate area of trapezoid
Answer:
25 squared cm
Step-by-step explanation:
Use the formula A = [tex]\frac{1}{2}[/tex]h ([tex]b_{1} + b_{2}[/tex])
h = height
[tex]b_{1}[/tex] = base 1
[tex]b_{2}[/tex] = base 2
A = [tex]\frac{1}{2}[/tex] (5) (7.2 + 2.8)
A = 25
Match each expression on the left with an equivalent expression on the right.
The expression on the left matched with an equivalent expression on the right are;
3x + 0 = 3x
5/3 - x + 1/3 = -3/2x + 2 + 1/2x
2x - 3 = x - 3 + x
2x - 6 = -6 + 2x
3/5 - 13/5 = -6.9 + 4.9
How to solve equivalent expression?3x + 0 = 3x
5/3 - x + 1/3
combine like terms
= 5/3 + 1/3 - x
= (5+1)/3 - x
= 6/3 - x
= 2 - x
-3/2x + 2 + 1/2x
combine like terms
-3/2x + 1/2x + 2
= (-3+1)x / 2 + 2
= -2/2x + 2
= -x + 2
2x - 3 = x - 3 + x
2x - 6 = -6 + 2x
3/5 - 13/5
= (3-13)/5
= -10/5
= -2
-6.9 + 4.9
= -2
Ultimately, an expression is said to be equivalent when the value on the right hand side is equal to the value on the left hand side.
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Select all expressions that equal −7−(−12) .
A
7+(−12)
B
−7+(−12)
C
−7+12
D
7+12
Answer:
C, -7+12
Step-by-step explanation:
-7--12= 5
-7--12 can also be -7+12
Answer:
The answer is c
Step-by-step explanation:
-7-(-12) = 5
HOW DO I SOLVE THIS???!!
Answer:
K=32
Step-by-step ex
Multiply. Express your answer in simplest form. 3 1/2 x 1 2/5. Show work.
Answer:
4 9/10
Step-by-step explanation:
On a quiz there are four multiple-choice questions worth 3 points each and two true/false questionsworth 1 point each . Each multiple-choice question has five possible choices . If a student randomlyguesses on each question , what is the expected value of the student's score on the test ?
Answer:
The expected value of the student's score on the test is 3.4.
Step-by-step explanation:
Multiple choice questions:
worth 3 points.
Five possible choices, one of which is correct. So the expected value of the student in each multiple choice question is:
[tex]m = 3\frac{1}{5} = 0.6[/tex]
True/false questions:
worth 1 point.
2 options, one of which is correct, so the expected value for each is:
[tex]t = 1\frac{1}{2} = 0.5[/tex]
What is the expected value of the student's score on the test ?
4 multiple choice, two true-false. So
[tex]E = 4m + 2f = 4(0.6) + 2(0.5) = 2.4 + 1 = 3.4[/tex]
The expected value of the student's score on the test is 3.4.
Work out the size of the angle marked X.
Give your answer correct to 1 decimal place.
Answer:
41.8°
Step-by-step explanation:
We solve using the Trigonometric function of Sine
Hypotenuse = 15cm
x = θ
Opposite = 10cm
sin θ = Opposite/Hypotenuse
sin θ = 10/15
θ = arc sin ( 10/15)
θ = 41.810314896°
θ = Approximately to 1 decimal place = 41.8°
Therefore, x = θ = 41.8°
For the drawing, provide the missing lengths. x= hypotenuse y= leg
Answer:
Above picture is the solution for your question
Step-by-step explanation:
Use relation of trignometric ratio to get answer
Answer:
[tex]x = \frac{7}{ \sin(45 \degree) } \\ x = {7 \sqrt{2} } \\ [/tex]
[tex]y = \frac{7}{ \tan(45 \degree) } \\ y = 7[/tex]
[tex] {\boxed{ x = 7 \sqrt{2} }} \\ { \boxed{y = 7}}[/tex]
find the diameter of a circle with the circumference of 10cm
Jaime needs to buy a new refrigerator for his apartment. He found what he needed for
$1,300 at a well-known appliance store. The store is offering two options for Jaime to
finance the appliance:
Option: A store credit card with a $1,500 limit:
1) The credit card charges 16.5% annual interest rate
2) The minimum monthly payment is $100 plus the monthly
finance charge
3) No down payment required
4) The loan is expected to be paid off in 12 months to avoid
additional penalties
Option II: The appliance store offers an installment loan for his purchase:
Loan charges a simple interest rate of 12,5%
2) Loan must be paid off in 12 equal payments to avoid penalties
A $300 down payment is required
A Which Option should Jaime choose if he wants the interest he pays to be as
small as possible?
The second option should be chosen as it depicts the amount with the lowest interest.
How to calculate the interestFor option 1, the annual interest will be:
= $1300 × 16.5% = $214.50
The monthly finance charge will be:
= $1300 × (0.165/12)
= $17.88
The minimum monthly payment for the first month will be:
= $100 + $17.88 = $117.88
Hence, the total amount paid will be:
= ($117.88 × 12) + $214.50
= $1629.06
For option 2, the simple interest will be:
= (1300 × 12.5%)
= $162.50
The amount that will be paid monthly will be:
= $1000/12
= $83.33.
In this case, the total amount paid will be:
= $162.50 + $1300
= $1462.50
Therefore, the second option is better as it's cheaper.
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How do you write 0.0006363 in scientific notation?
Answer:
Step-by-step explanation:
Proper scientific notation means that there is only 1 number to the left of a decimal and everything else to the right of it. Also, because the number is initially less than 1, the exponent will be a negative one. We have to move the decimal 4 places to the right in order to get the 6 to the left of it, so in correct scientific notation format, we have
[tex]6.363*10^{-4[/tex]
Select the perfect square trinomial from among the options below!
you will be marked as brainliest
A ) ( x - 3 )( x + 1 ) [ not perfect ]
B ) ( x + 5 - √5 )( x + 5 + √5 ) [ n p ]
C ) ( x + 2 + 2√2 )( x + 2 - 2√2 ) [n p ]
D ) ( x - 6 )( x - 6 ) = ( x - 6 )^2 [ perfect ]
Thus the correct answer is option D .
Petra invests $8000 for 4 years she earned $2000 as compound interest find rate of interest
Answer:
r = 5.74%
Step-by-step explanation:
Compound interest formula is expressed as;
A = P(1+r)^t
P is the principal = $8000
A = P+I =8000 + 2000 = $10000
time t = 4years
Substitute
10000 = 8000(1+r)^4
10000/8000 = (1+r)^4
10/8 = (1+r)^4
1.25 = (1+r)^4
1.05737126344 = 1+r
r = 1.05737126344 - 1
r = 0.05737126344
r = 5.74%
This gives the rate of interest
Consider this right triangle.
Enter the ratio equivalent to tan(R).
Answer:
tan r = 35/12
Step-by-step explanation:
you use the rule tan=opposite/adjacent
The required ratio equivalent to tan(R) for triangle RTS is 35 / 12.
A triangle RTS is given with perpendicular = 35 base = 12 and the hypotenuse = 37
What is the triangle?The triangle is a geometric shape that includes 3 sides and the sum of the interior angle should not be greater than 180°
What is simplification?
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
In order to find out the ratio equivalent to tan(R).0
We know that,
tan(r) = perpendicular / base
from given,
tan (R) = 35 / 12
Thus, the required ratio equivalent to tan(R) for triangle RTS is 35 / 12.
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Once you are logged in you need to find an article related to Math to read. If you click the search button and type in Math you will find hundreds of articles to choose from.
The name of the article I chose is ____ and the author is ______.
Please write one paragraph in response to the article. In your paragraph summarize the article and specifically explain the connection it has to math.
Contain at least 4 complete sentences.
Have sentences that start with capital letters and end with punctuation.
Be written in your own words.
Include a specific quote or evidence from the article to show the math connection.
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
Answer:
n geometry, the notion of a connection makes precise the idea of transporting data[further explanation needed] along a curve or family of curves in a parallel and consistent manner. There are various kinds of connections in modern geometry, depending on what sort of data one wants to transport. For instance, an affine connection, the most elementary type of connection, gives a means for parallel transport of tangent vectors on a manifold from one point to another along a curve. An affine connection is typically given in the form of a covariant derivative, which gives a means for taking directional derivatives of vector fields, measuring the deviation of a vector field from being parallel in a given direction.
Connections are of central importance in modern geometry in large part because they allow a comparison between the local geometry at one point and the local geometry at another point. Differential geometry embraces several variations on the connection theme, which fall into two major groups: the infinitesimal and the local theory. The local theory concerns itself primarily with notions of parallel transport and holonomy. The infinitesimal theory concerns itself with the differentiation of geometric data. Thus a covariant derivative is a way of specifying a derivative of a vector field along another vector field on a manifold. A Cartan connection is a way of formulating some aspects of connection theory using differential forms and Lie groups. An Ehresmann connection is a connection in a fibre bundle or a principal bundle by specifying the allowed directions of motion of the field. A Koszul connection is a connection which defines directional derivative for sections of a vector bundle more general than the tangent bundle.
Connections also lead to convenient formulations of geometric invariants, such as the curvature (see also curvature tensor and curvature form), and torsion tensor.
Step-by-step explanation:
simply the complex numbers: (2 + 5i)(1 – 3i)
Answer:
17 just multiply the like dot product of vectors
A 5-inch candle burns down in 4 hours. How far has it burned after 7 1/2 hours?
Answer:
9 3/8 inches
Step-by-step explanation:
Inches of candle : hours it burned
= 5 inches : 4 hours
How far has it burned after 7 1/2 hours?
Let
x = how far it has burned (inches)
Inches of candle : hours it burned = x inches : 7 1/2 hours
Equate both ratios
5 inches : 4 hours = x inches : 7 1/2 hours
5/4 = x ÷ 7 1/2
5/4 = x ÷ 15/2
5/4 = x * 2/15
5/4 = 2x/15
Cross product
5 * 15 = 4 * 2x
75 = 8x
x = 75/8
x = 9 3/8 inches
x = how far it has burned (inches) = 9 3/8 inches
3/4 + (1/3 ÷ 1/6) - (-1/2)
Please give answer as a fraction
Answer: 13/4
Step-by-step explanation: it was 3.25 and that as a fraction is 13/4
3/4 + ( 1/3 × 6 ) + 1/2 =
3/4 + 2/4 + ( 2 ) =
3 + 2/4 + 8/4 =
5/4 + 8/4 =
5 + 8/4 =
13/4
The width of a rectangle is 5 feet shorter than its length. If the area of the rectangle is 24 square feet, find the dimensions of the rectangle.
Lets look at the possible factors of 24. 24*1, 12*2, 8*3, and 6*4. Only 8 and 3 have a difference of 5, so the rectangle has the dimentions of 8 by 3.
Can someone help me with this thank you
Answer:
30 sq cm
Step-by-step explanation:
The area of a parallelogram is the base times the height. We can see that the base is 10 cm, and 3 cm would be the height because it is perpendicular to the base. We get the equation:
Area = 10 cm x 3 cm
Area = 30 sq cm
Which of the following is a repeating decimal?
A: 1/9 B: 4/8 C: 14/7
Wants to wrap a shipping box shaped like a rectangular prism. The box is 25 inches tall and has a square base with sides that each measure 6 inches. How much paper will she use?
Answer:
672 square inches
Step-by-step explanation:
Given data
Height= 25inches
Lenght = 6 inches
Width= 6 inches
The expression for the area of the box is given as
TSA= 2 (lh + lw+ hw)
TSA= 2(6*25+ 6*6+ 25*6)
TSA= 2(150+ 36+150 )
TSA= 2*(336)
TSA= 672 square inches
you don’t have to tell me the answer i just dk what to do for this problem
Answ either
Step-by-step explanation:
Find the area of the trapezoids. What is the Area of the trapezoids
A= Square units
Answer:
[tex]area = area \: of \: rectangle + area \: of \: triangles \\ = (6 \times 2) + ( \frac{1}{2} \times 6 \times 2) + ( \frac{1}{2} \times 6 \times 4) \\ = 12 + 6 + 12 \\ = 30 \: sq \: units[/tex]
Answer:
30
Step-by-step explanation:
PLEASE HELP!! THIS FOR THE LAST ASSIGNMENT FOR THE SUMMER!!! 20 POINTS FOR ANSWER AND END OF SCHOOL YEAR!!!
A writer has just finished typing the manuscript for a book that is 354 pages long. There is one illustration on every thirtieth page, starting on page 1. How many illustrations are there?
A. 13 illustrations
B. 11 illustrations
C. 14 illustrations
D.12 illustrations
Answer:
11
Step-by-step explanation:
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