Answer:
\(8\frac{4}{7}\)
Step-by-step explanation:
Consider the chart of LCD Television sets and population below. Round your ratio as a decimal to 6 places. Round the Owners per 100 to one decimal.
City
Number of Owners
Total Population
Ratio as decimal
Owners per 100
Indianapolis
6,245
0.90 million
New York
911,216
18.6 million
Cairo
10,598
19.1 million
Beijing
959,611
21.2 million
Tokyo
1,700,510
26.5 million
To calculate the ratio as a decimal, we divide the number of owners by the total population for each city.
For Indianapolis: Ratio = 6,245 / 0.9 million = 0.006938
For New York: Ratio = 911,216 / 18.6 million = 0.049019
For Cairo: Ratio = 10,598 / 19.1 million = 0.000554
For Beijing: Ratio = 959,611 / 21.2 million = 0.045270
For Tokyo: Ratio = 1,700,510 / 26.5 million = 0.064234
To calculate the owners per 100, we multiply the ratio by 100.
For Indianapolis: Owners per 100 = 0.006938 * 100 = 0.7 (rounded to one decimal place)
For New York: Owners per 100 = 0.049019 * 100 = 4.9 (rounded to one decimal place)
For Cairo: Owners per 100 = 0.000554 * 100 = 0.1 (rounded to one decimal place)
For Beijing: Owners per 100 = 0.045270 * 100 = 4.5 (rounded to one decimal place)
For Tokyo: Owners per 100 = 0.064234 * 100 = 6.4 (rounded to one decimal place)
Therefore, the ratio as a decimal and the owners per 100 for each city are as follows:
Indianapolis: Ratio = 0.006938, Owners per 100 = 0.7
New York: Ratio = 0.049019, Owners per 100 = 4.9
Cairo: Ratio = 0.000554, Owners per 100 = 0.1
Beijing: Ratio = 0.045270, Owners per 100 = 4.5
Tokyo: Ratio = 0.064234, Owners per 100 = 6.4
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3(n + 2) + 3 = 2(3n – 4) -
Helppp
Answer:
17/3
3(n+2)+3=2(3n-4)
3n+6+3=6n-8
17=3n
n=17/3
Answer:
n = 17/3
Explained...
3(n+2)+3 = 2(3n-4)
3n+6+3 = 6n-8
3n+9 = 6n-8
9+8 = 6n- 3n
17 = 3n
3n = 17
n = 17/3
Make a line plot of the measurements in the table. Then find the fair share.
Table:
Amount of Sports drink (gallons)
1 over 4
1 over 2
1 over 3
1 over 2
1 over 4
1 over 3
1 over 3
1 over 2
Answer:
its nothing 0
Step-by-step explanation:
Answer:
Step-by-step explanation:
3/8 or 1/3 if you round it.
Duane begins paying a $5,000
student loan with an annual interest rate of 6.5%
compounded monthly. He schedules monthly payments of $118.57
for 4
years.
The following table shows the first payment in the amortization schedule.
Payment
Number Loan
Amount Payment Interest Principal Remaining
Balance
1
$5,000.00
$118.57
?
What amount of Duane's first payment goes to interest?
Responses
The amount of Duane's first payment that goes to interest is approximately $26.47.
To determine the amount of Duane's first payment that goes to interest, we need to use the amortization formula for a loan.
The formula to calculate the interest portion of a loan payment is:
Interest = Remaining Balance * Monthly Interest Rate.
Let's calculate the interest for the first payment using the given information:
Loan Amount = $5,000.00
Monthly Payment = $118.57
First, we need to calculate the monthly interest rate:
Monthly Interest Rate = Annual Interest Rate / 12
= 6.5% / 12
= 0.00542
Next, we need to calculate the remaining balance after the first payment:
Remaining Balance = Loan Amount - Principal Paid
= $5,000.00 - $118.57
= $4,881.43
Finally, we can calculate the interest portion of the first payment:
Interest = Remaining Balance * Monthly Interest Rate
= $4,881.43 * 0.00542
= $26.47
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HURRY Find the domain and range ( 2,3), ( -2, 4), ( 4, 8) , ( -2, 5)
Answer:
See below :)
Step-by-step explanation:
Given ordered pairs :
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
Domain is the set of all x -coordinates in the set of ordered pairs.
( 2 , 3 ) , ( -2 , 4 ) , ( 4 , 8 ) , ( -2 , 5 )
List them :
Domain = { - 2 , 2 , 4 )
Range is the set of all y - coordinates in the set of ordered pairs.
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
List them :
Range = { 3 , 4 , 5 , 8 }
Hope I helped !
Best regards!!
Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
√a³ - 7+ |b|
When a = 2 and b = -4, the value of the expression is
The given expression √(a³-7)+ | b |, when a = 2 and b = -4, the value of the expression is, 5
What are expressions?An expression is a sentence with at least two numbers or variables having mathematical operation. Math operations can be addition, subtraction, multiplication, division.
For example, 2x+3
Given that,
The expression,
√(a³-7) + | b |
where, a = 2
b = -4
Now, by putting values of a and b in the given equation,
⇒ √(a³-7) + | b |
⇒ √(2³-7) + | -4 |
For whatever value of x, |x| will give always positive value
So, now it can be further written as,
⇒ 1 + 4
⇒ 5
Hence, the value is 5
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Divide. 21,382.62 ÷ 10,000
Answer:
the answer is 2.138262
Step-by-step explanation:
hope this helps
Identify the Terms, Constants, Coefficients and Variables in the following equation
13x + 5y - 2 = 3
13x
From the given equation 13x + 5y - 2 = 3, we can tell that;
Variables are; x and y
Coefficients are; 13 and 5
Constants are; -2 and 3
What are the properties of the Equation?
We are given the equation;
13x + 5y - 2 = 3
A variable is a term that is subject to change and is not fixed. Thus, in our expression, the variables are x and y.
Now, the constants are terms that a single without a variable attached to them. Thus, in our expression, the constants are -2 and 3
The coefficients are basically the numbers that are attached to the variables. Thus, the coefficient of x is 13 and the coefficient of y is 5.
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Determine the slope of the line passing through the points (0,-3) and (3,-11).
Answer:
-3/8
Step-by-step explanation:
Hey there!
Well to find the slope with 2 points “(0,-3) and (3,-11)”, we’ll use the following formula,
\(\frac{y^2-y^1}{x^2-x^1}\)
Plug in the given points.
\(\frac{-11 - - 3}{3-0}\)
-11 + 3 = -8
3 - 0 = 3
Slope = -8/3
Hope this helps :)
Using partial quotients, which would be the best choice for the first number to subtract in the division problem 673 divided by 25?
Answer:
Best for choice for the first number to subtract = 500
Step-by-step explanation:
The dividend is 673 while the divisor is 25
First step is to subtract from the dividend an easy multiple like 100 times the divisor,20 times the divisor, 10 times the divisor, 5 times the divisor 2 times the divisor etc.
The best choice for the first number to subtract will be 20 times the divisor because when we multiply 20 by 25 and subtract from 673,we will get 173. And the next quotient will be 6 which is in units as the first one of 20 was in tens.
Best choice to subtract = 20 × 25 = 500
Answer: 500
Step-by-step explanation:
Which inequality below is equivalent to
3x-y>4
Help please:)
Graph the equation by plotting points.
X=4
Answer:
(4,0)
Step-by-step explanation:
You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!
Please help ASAP! I will mark Brainliest! Please answer CORRECTLY! No guessing.
Answer:
27
Step-by-step explanation:
Input 5 for all x-values.
If that is an equal sign...
1/9*(3^5)
With PEMDAS, exponents are done before multiplication.
1/9*243
= 27
N 026412 2. 18 110 22 6.00 G ㅂ O.L State the coordinates (x, y) of the dilated image of Quadrilateral ABCD using a scale factor of 1/2 and center of dilation (1, -2) * Your answer
Scale factor of 1/2, means shrink lines to half
Then
A'B'= AB/2
Trace the 2 diagonals
Find point of intersection of AC ,and BD
DRAWING
Find distance from point (-1,2) to A,B,C and D
and reduce to half
A= (-10,2)
Distance to A =
X'= (-10-1)/ 2 = -5.5
Y' = (2--2) /2= 4/2 = 2
Then
A'= (-5.5,2)
Distance to B
B= (7,8)
Distance to B=
X'= (7-1)/2= 3
Y'= (8--2) /2= 10/2= 5
Therefore
B'= (3, 5)
Distance to C
C= (5,-8)
X'= (5-1)/2= 4/2= 2
Y'=(-8--2)/2 = -6/2= -3
Then
C'= (2,-3)
Distance to D
D= (-3,-10)
X'=(-3-1)/2= -4/2=-2
Y'=(-10--2)/2 = -8/2= -4
Then also
D'= (-2,-4)
Now we have the 4 coordinates of new figure A'B'C'D'
Jasmine has a circular swimming pool with a radius of 4.2 meters. What is the circumference of the pool? Use 3.14 for π
. Round to the nearest hundredth if necessary.
__ m
If the radius of Jasmine's swimming pool is 4.2 meter, then it's circumference is 26.4 meters.
The "Circumference" of a circle is known as the distance around the boundary of a circle.
The circumference of a circle is given by the formula : 2 × π × radius,
where π (pi) is a mathematical constant approximately equal to 3.14,
We are given that Jasmine's swimming pool has a radius of 4.2 meters.
So, we can calculate the circumference of the pool as :
⇒ Circumference = 2 × 3.14 × 4.2 meters,
⇒ Circumference ≈ 26.4 meters,
Therefore, the circumference of Jasmine's swimming pool is 26.4 meters.
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16 families went on a trip which cost them Rs 2,16,352. How much did each
family pay?
Given that 16 families went on a trip and the cost of the trip was Rs. 2,16,352.The amount paid by each family is to be determined by unitary method Hence each family paid Rs.13522
Now, let's solve this by using the method of unitary method. To find the cost of 1 family trip, we will divide the total cost of the trip by the number of families.2,16,352 / 16 = 13,522 So, the cost of the trip per family is Rs. 13,522.Hence, each family paid Rs. 13,522 for the trip.
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Answer:
Step-by-step explanation
1. The total cost of the trip for all 16 families is Rs 2,16,352.
2. To find out how much each family paid, we need to divide the total cost by the number of families: Rs 2,16,352 ÷ 16.
3. When we do the division, we get the result: Rs 13,522.
Now let's check if this result is correct:
1. If each family paid Rs 13,522 for the trip, then the total cost for all 16 families would be: 16 × Rs 13,522 = Rs 2,16,352.
2. This is exactly the same as the total cost given in the problem statement.
So we have shown that each family paid **Rs 13,522** for the trip
Who know the answer to this?
Answer: A (w=2a+3)
Step-by-step explanation: The answer is A because for every week after the tiger is born it gains 2 pounds. that's the w=2a part. The +3 is there because the tiger started with 3 pounds.
What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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a. Find the
median and
mean of the
data.
14, 15, 13, 14,
24, 23, 22
Answer:
The median is 15 and the mean is 17.
Step-by-step explanation:
Using this calculator you can calculate the median and mean in a simple and quick process in which I did to find out your answer.
The mean of the data is 17.85 and the median is 15.
What are median and mode?A data set's mean (average) is calculated by summing all of the numbers in the set, then dividing by the total number of values in the set. When a data collection is ranked from least to greatest, the median is the midpoint. The number that appears most frequently in a data set is called the mode.
Given data is 14, 15, 13, 14,24, 23, and 22 to calculate the median arrange all the data in increasing form. And find the middlemost value.
Data: 13,14,14,15,22,23,24
Median = 15
To calculate the mean add all the data and divide by the total count of the data.
Mean = ( 14 + 15 + 13 + 14 + 24 + 23 + 22 ) / 7
Mean = 125 / 7
Mean = 17.85
Therefore, the mean of the data is 17.85 and the median is 15.
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Here is a list of ages (years) of children in a room: 2, 6, 5, 9, 6, 7, 2 State the median.
please help!!! if i don’t get this test right then i fail and i really can’t ! i’ll mark brainlyist ! pleasee
anyone
Answer:
208 cubic units
Step-by-step explanation:
The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:
The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.
Now, let’s calculate the volume of the rectangular prism:
The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160
Now, add up the volumes of the rectangular and triangular prisms:
160 + 48 = 208 cubic units
Find the measure of each angle of the triangle HIJ. There will be three answers. (Hint: find the value of x first.)
I need help finding what theorums and postulates apply to these. Thank you so much!
1)
1) ∠3 ≅ ∠7 , lines parallel a and b
Theorem:
"If two lines are intercepted by a transversal and alternate interior angles
are congruent, then the lines are parallel"
In this theorem, we have 2 alternate interior angles ∠3 , ∠7 that's why we apply this.
2) ∠9 ≅ ∠11 (Corresponding angles)
Postulate:
"Given that two lines are intercepted by a transversal and corresponding angles are congruent, then the lines are parallel."
3) ∠2 ≅ ∠16 (Alternate Exterior Angles)
From these Alternate exterior angles, comes the Alternate Exterior angles theorem:
"Given that two parallel lines are cut by a transversal, the alternate exterior angles are congruent."
4) m∠5 +m∠12 = 180º
Collateral angles are supplementary
"Given that two lines are cut by a transversal and same-side interior angles are supplementary, then the lines are parallel"
This is also valid for collateral angles since ∠5 and ∠12 are collateral angles and ∠12 ≅ ∠6.
answer both = brainiest
Answer:
3= 7 4=2.75
Step-by-step explanation:
To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called:____________
Answer:
Convenience sampling.
Step-by-step explanation:
To gather information on customer satisfaction, a researcher goes into each store and interviews six randomly selected customers at each store. This sampling technique is called convenience sampling.
Convenience sampling can be defined as a sampling method which involves the researcher selecting or collecting data that is easily available or choosing the individuals who are easiest to reach in a population. It is a type of non-probability method of sampling where the first or easiest available data source is being used by the researcher without other requirements.
In this scenario, to gather information on customer satisfaction, the researcher went to the store most likely situated in a shopping mall to collect data from six (6) customers in each stores.
Some of the advantages of convenience sampling are low cost, data are collected quickly, lesser rules etc.
Ted ran three miles in 2.8 minutes. At this rate, how long would it take him to run 33.3 miles?
Answer:
I believe it would take 30.96 minutes.
Step-by-step explanation:
2.8 divided by 3 = .93 miles per minute
.93 x 33.3 miles =30.969 minutes
A bag contains 12 red marbles the ratio of red marbles to blue marbles is 3:4 find the number of blue marbles in the bag
Answer:
16
Step-by-step explanation:
If the ratio is 3 red marbles to 4 blue marbles we can solve this using the following:
\(\frac{12}{b} = \frac{3}{4}\)
\(12 * 4 = 3b\\48 = 3b\\\frac{48}{3} = b\\b = 16\)
So we have 16 blue marbles.
Based on the ratio of red to blue marbles, the number of blue marbles in the bag is 16 marbles.
The bag has red marbles to blue marbles in a ratio of 3:4.
If there are 12 red marbles, the number of blue marbles can be found by direct proportion:
3 : 4
12 : x
Cross-multiply:
3x = 48
x = 48/3
x = 16 blue marbles
In conclusion, there are 16 blue marbles in the bag.
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If the range of the function y = f(x) is {y | y ≥ 11, y ∈ R}, then the range of the new function g(x) = f(x + 2) - 3 is
Answer:
y ≥ 8
Explanation:
Note that if f(x) is transformed into f(x + a) - b
The original functions is shifted a units to the left and b units downward.
Horizontal shifting will not affect the range of the function, only vertical shifting will change its range.
From the given, g(x) is the transformation of f(x) with
\(g(x)=f(x+2)-3_{}\)f(x) is shifted 2 units to the left and 3 units downward, we will disregard the horizontal shifting.
Since f(x) has a range of y ≥ 11, and g(x) is 3 units downward, the range will also move 3 units downward.
y ≥ 11 - 3
The answer is y ≥ 8
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
approximately where does the particle achieve its greatest possible acceleration on the interval 0 to b?
The greatest positive acceleration occurs at the midpoint of the interval, when the particle is changing velocity most rapidly.
What is velocity?
Velocity is a measure of the rate of change of an object's position over a period of time. It is a vector quantity, which means it has both magnitude (or size) and direction. Velocity is usually expressed in terms of distance traveled per unit of time, such as meters per second (m/s). Velocity can be determined by dividing the distance traveled by the time taken. For example, if an object travels 20 meters in 5 seconds, its velocity would be 4 m/s. Velocity can also be calculated by taking the derivative of the object's position with respect to time.
The particle will achieve its greatest positive acceleration at the midpoint of the interval, at t = b/2.
This is because the acceleration is greatest when the velocity is changing most rapidly.
At the beginning of the interval, the particle has zero velocity, so it has no acceleration.
At the end of the interval, the particle has reached its maximum velocity, and the rate of change of velocity is zero, so it has no acceleration. Therefore, the greatest positive acceleration occurs at the midpoint of the interval, when the particle is changing velocity most rapidly.
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